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Paper Citation Record · LEDGER

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication

As of 16 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 0 inbound Pith citation observations for arXiv:1908.07376.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1908.07376 v1

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:01:08.103443Z

measured 69 of 69 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

69 of 69 outbound references displayed

  • verified exact1
  • verified fuzzy64
  • unresolved4
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 340c7f7d-ecbf-4188-bab9-897c881bddc5 · outbound

This paper cites Albert, A.-L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Albert, A.-L

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0d18b421-1a5e-426d-b981-3a95a05e37a6 · outbound

This paper cites Caldarelli, Scale free networks: complex webs in nature and technology (Oxford University Press, 2007).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Caldarelli, Scale free networks: complex webs in nature and technology (Oxford University Press, 2007)

Reference 2

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Observation 12b6150e-33b9-44de-af8a-030f5fa03e6c · outbound

This paper cites Havlin, R.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Havlin, R

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0de3cc3f-0f74-422d-9913-644b9b7f6a01 · outbound

This paper cites Newman, Networks: an Introduction (Oxford Uni- versity Press, 2010).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Newman, Networks: an Introduction (Oxford Uni- versity Press, 2010)

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e1cf0955-a078-48a8-9c5b-cc5f86015809 · outbound

This paper cites Estrada, The Structure of Complex Networks: Theory and Applications (Oxford University Press, 2011).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Estrada, The Structure of Complex Networks: Theory and Applications (Oxford University Press, 2011)

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a134d5d0-4e3a-4092-8685-14cba64fb5a3 · outbound

This paper cites Barrat, M.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Barrat, M

Reference 6

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Source-reported events for the cited work

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Observation c5e0cba5-b197-4bfa-8e25-22d12f511db1 · outbound

This paper cites Milgram, Psychology Today 1, 61 (1967).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Milgram, Psychology Today 1, 61 (1967)

Reference 7

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T13:01:07.808533Z digest=sha256:054f32ca7692c42d43b90901f62aa6cf2a98bf6e08d1bd2eebaf4b3d693476a5

Observation 48ee081b-44a3-42b1-bfd0-bba0a53200c5 · outbound

This paper cites Watts, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Watts, S

Reference 8

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5aade94f-b8c0-41c2-b59c-3c69503980a4 · outbound

This paper cites Chung, L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Chung, L

Reference 9

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Observation 681fcb42-dffc-4c48-99a0-e2c31c4e4129 · outbound

This paper cites Chung, L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Chung, L

Reference 10

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Observation 22be054d-9ff9-4436-82d8-9002ace183b4 · outbound

This paper cites Barab´ asi, R.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Barab´ asi, R

Reference 11

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 38894968-00d7-4581-8d05-6dd4b75de81c · outbound

This paper cites Jeong, B.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Jeong, B

Reference 12

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a2fe3c62-d7a7-419b-a590-1ddcfbb465e4 · outbound

This paper cites Krapivsky, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Krapivsky, S

Reference 13

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Observation 1aba2e6b-0495-46bd-95f6-a9535fb49431 · outbound

This paper cites Krapivsky, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Krapivsky, S

Reference 14

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source=pdf_text observed=2026-08-14T13:01:07.840813Z digest=sha256:89214aa5b4010e385956d463ef948d0e43f2aa89b5cae7f999fc2d074f7943bb

Observation 0adfa22d-a273-4b8c-bbfa-826907881df2 · outbound

This paper cites V´ azquez, Phys.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication V´ azquez, Phys

Reference 15

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Observation 33318b84-19c7-4348-97ca-b58a37342ce6 · outbound

This paper cites Cohen, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Cohen, S

Reference 16

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raw_fallback, observed 2026-08-14T13:01:08.941087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f444e03d-0929-421f-82bb-60ffb59b176e · outbound

This paper cites Giot et al., Science 302 1727 (2003).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Giot et al., Science 302 1727 (2003)

Reference 17

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source=pdf_text observed=2026-08-14T13:01:07.854237Z digest=sha256:f968ed873d79e75b4985390768f803a7dc6303a8ea5013b184c5fe02e1100ec4

Observation f457330e-849c-4b5e-a7b4-532b98caf837 · outbound

This paper cites Ma´ ayan, S.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Ma´ ayan, S.L

Reference 18

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Observation 8774bb1d-bbce-4cd5-ad6e-fcc58ab6a476 · outbound

This paper cites Dijkstra, Numerische Mathematik 1, 269 (1959).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Dijkstra, Numerische Mathematik 1, 269 (1959)

Reference 19

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Observation 55bde2e4-db2a-43e6-95ce-08fcf41c7552 · outbound

This paper cites Delling, P.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Delling, P

Reference 20

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raw_fallback, observed 2026-08-14T13:01:08.877816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a4c2e0b3-b56a-48d9-9f05-3f023e7350ab · outbound

This paper cites Pastor-Satorras, C.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Pastor-Satorras, C

Reference 21

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no resolver link, observed 2026-08-14T13:01:07.873025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ef702c82-9476-4a44-babf-77cdf235a202 · outbound

This paper cites Bollobas, Random Graphs, Second Edition (Academic Press, London, 2001).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Bollobas, Random Graphs, Second Edition (Academic Press, London, 2001)

Reference 22

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Observation 2111beb5-6048-4092-8ab7-3a77b18835f8 · outbound

This paper cites Durrett, Random Graph Dynamics (Cambridge Univer- sity Press, Cambridge, 2007).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Durrett, Random Graph Dynamics (Cambridge Univer- sity Press, Cambridge, 2007)

Reference 23

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b8b63ed6-8c95-4b38-aa42-30b29d1643df · outbound

This paper cites Fronczak, P.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Fronczak, P

Reference 24

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raw_fallback, observed 2026-08-14T13:01:08.822653Z

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Observation 474159cc-e6ef-4af1-9e00-70258c95e37f · outbound

This paper cites Newman, Proc.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Newman, Proc

Reference 25

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Observation 712ae08d-1c5c-484f-a7c7-65c2229932fa · outbound

This paper cites Hartmann, M.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Hartmann, M

Reference 26

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raw_fallback, observed 2026-08-14T13:01:08.792768Z

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Observation c735abe5-5849-477b-95ef-9173a497b243 · outbound

This paper cites Newman, S.H.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Newman, S.H

Reference 27

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raw_fallback, observed 2026-08-14T13:01:08.778531Z

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Observation ee13597c-bfff-4920-ac39-9f6becb32fd8 · outbound

This paper cites Dorogotsev, J.F.F.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Dorogotsev, J.F.F

Reference 28

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raw_fallback, observed 2026-08-14T13:01:08.762248Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation db55323d-c1ec-4df7-bb2a-3719d67e4ada · outbound

This paper cites Blondel, J.-L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Blondel, J.-L

Reference 29

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raw_fallback, observed 2026-08-14T13:01:08.747788Z

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Observation 2a646c0e-ed81-4e9d-802a-a50803fd27cc · outbound

This paper cites van der Hofstad, G.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication van der Hofstad, G

Reference 30

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raw_fallback, observed 2026-08-14T13:01:08.733329Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c4ed8042-4306-4877-a22f-095f3cdcfa37 · outbound

This paper cites van der Esker, R.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication van der Esker, R

Reference 31

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raw_fallback, observed 2026-08-14T13:01:08.718975Z

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Observation 22561e84-13d7-4e12-b08c-0c8e18c11c89 · outbound

This paper cites an unresolved cited work.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 62cb4112-9f19-4d0b-aa3e-17a8f0a006ca · outbound

This paper cites Shao, S.V.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Shao, S.V

Reference 33

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raw_fallback, observed 2026-08-14T13:01:08.689944Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.931188Z digest=sha256:c11558713302fa090a5e4e915eacc376cb3fba5fc8b428ccf23d4ceb2b435b73

Observation 67240d4d-1d8e-4785-a429-7c85ae277190 · outbound

This paper cites Katzav, M.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Katzav, M

Reference 34

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raw_fallback, observed 2026-08-14T13:01:08.675209Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.935685Z digest=sha256:3450fe8744ec698def8b908477fe1a473dab8197eeeb79b34b4dc0cf65924348

Observation c5ee3ea5-13ea-4be5-ad5b-b07b3826150c · outbound

This paper cites Erd˝ os, A.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Erd˝ os, A

Reference 35

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raw_fallback, observed 2026-08-14T13:01:08.660386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 42066ae3-9f8d-43ca-8c03-5bab2a6a880a · outbound

This paper cites Erd˝ os, A.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Erd˝ os, A

Reference 36

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f71e1d95-48f3-452f-b02a-1c47a07b9365 · outbound

This paper cites Erd˝ os, A.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Erd˝ os, A

Reference 37

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c0db9c36-1a3e-4627-8702-b777f8b3acfe · outbound

This paper cites Nitzan, E.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Nitzan, E

Reference 38

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verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.613707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 0c4e05bf-0400-4c5d-85b2-a33e74f9aeca · outbound

This paper cites Simple and accurate analytical calculation of shortest path lengths.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Simple and accurate analytical calculation of shortest path lengths

Reference 39

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.959543Z digest=sha256:9f474c90d7c5fcf40840ec56b983397aa3ff9f60f70c298e893b15e0bfe7c46e

Observation c4f0ae98-e770-4a2c-9d80-d0dd96935103 · outbound

This paper cites Molloy, B.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Molloy, B

Reference 40

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.964542Z digest=sha256:87bdd8da22fdae1e542a6b83f1628c1689c2f6e4a7047f188bf83f5932ce3c88

Observation 6e0f6a5e-549b-40a5-974f-e393dcc7933e · outbound

This paper cites Molloy, B.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Molloy, B

Reference 41

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.968990Z digest=sha256:6b9eab5793724d34d237be5062ff9ab0af1f5abfef48d1a0d902ea926569f69a

Observation 6f539bbb-0a5b-460f-82eb-e4c49eb359ca · outbound

This paper cites Bhan, D.J.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Bhan, D.J

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.568910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.973454Z digest=sha256:100bc1f79cf9b8555b1b46f0bdceed616c8184a5b51d68da55f0593462e4129c

Observation 7c923ef7-c695-4068-8f2f-11f142b34443 · outbound

This paper cites Kim, P.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Kim, P.L

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.554423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.978044Z digest=sha256:e7e18e32d85cf54911727136e1135a0cae62f3b56ee979153cc76bf8b21effb3

Observation 4f06377c-3838-4b5a-894b-f80c0e467d5c · outbound

This paper cites Chung, L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Chung, L

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.539731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.983037Z digest=sha256:c818010047c66f76abf6b218323fa80a42d65441d88d4ef017a7533e8f95468c

Observation 0e95429b-a205-47af-8dd2-ce1291e6858d · outbound

This paper cites Krapivsky, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Krapivsky, S

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.525625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.987748Z digest=sha256:53d24addb873f2b210891ff867789595d4ac9949d64250662f93c93bd41512f2

Observation 7a16071f-981e-4ff6-b01f-963f1fe04725 · outbound

This paper cites Ispolatov, P.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Ispolatov, P.L

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.511031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.992567Z digest=sha256:3d92d2e6484f74b890441d8c8aa2b6a88e24c19f9fd734bec92faba9c1954333

Observation 166a88e6-3128-41a3-9fb3-6d46fd112765 · outbound

This paper cites Ispolatov, P.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Ispolatov, P.L

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.495915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:07.997711Z digest=sha256:18c9d7627e2be2a68c4060e5adef72c901aa4a185f153c3878a4e6c7de4e4a6f

Observation 323a11a3-19b9-4748-979f-1d219e913035 · outbound

This paper cites Bebek, P.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Bebek, P

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.480818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.002321Z digest=sha256:fe04585f460a3ff238c5d3651b2e8c810ffbbb429008f27f31b39a7be9a0e171

Observation 7e4eb9dd-a0b7-44b4-ae42-9f395fcb156f · outbound

This paper cites an unresolved cited work.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:01:08.465478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7c38b678-a55e-419c-9f4f-a183ef6efb57 · outbound

This paper cites Lambiotte, P.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Lambiotte, P.L

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.449680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.011483Z digest=sha256:e1c7957d0fc2354f1afe6acaec1c5fdb22c453bd6325c3a1f6e7ff58e0ba33fe

Observation 7466f14f-f996-475f-8854-e14b8a98ab32 · outbound

This paper cites Bhat, P.L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Bhat, P.L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.434813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.016104Z digest=sha256:268cadd89e28104b548933df7a5245de3722ed23924cbb07754a6974538a2537

Observation 2a97235a-2393-4591-a2e7-f346cc73249f · outbound

This paper cites Toivonen, L.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Toivonen, L

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.419869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.021253Z digest=sha256:bfa864c7b14671d053a5f867a31896e4416d464510838f70dc4f912f351c0a2f

Observation 0df797bd-9499-451d-a29c-224d899af8cb · outbound

This paper cites Granovetter, American Journal of Sociology 78, 1360 (1973).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Granovetter, American Journal of Sociology 78, 1360 (1973)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.405803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.025872Z digest=sha256:f9e31e0921795c4181b7c306c97c355bd930abe5df1eddfb5bcf4131b356170e

Observation a339444a-54eb-4dfc-b092-b09739f05394 · outbound

This paper cites an unresolved cited work.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:01:08.390559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.030461Z digest=sha256:d733a5e62256c2e786d499391aa884e68a154d7b6977d6a72a76be1072122874

Observation 3fe12881-4071-4b4c-b7cf-ef5598a71bfc · outbound

This paper cites Alon, An Introduction to Systems Biology: Design Prin- ciples of Biological Circuits (Chapman and Hall/CRC, 2006).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Alon, An Introduction to Systems Biology: Design Prin- ciples of Biological Circuits (Chapman and Hall/CRC, 2006)

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.376053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b32ce593-7750-43f6-a683-e6ce162fe57f · outbound

This paper cites Steinbock, O.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Steinbock, O

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.362002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.040022Z digest=sha256:6f9c96666fe12b3f944d13629db2446fafca0dacaff2d392df7cdd9818676a1c

Observation c0b3046e-aaa3-4c20-ab4e-59ba1630b4a6 · outbound

This paper cites Ohno, Evolution by Gene Duplication (Springer-Verlag, New York, 1970).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Ohno, Evolution by Gene Duplication (Springer-Verlag, New York, 1970)

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.348002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 8751ab9b-cb9d-4397-b32d-49420df32599 · outbound

This paper cites Teichmann, M.M.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Teichmann, M.M

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.333879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.049493Z digest=sha256:3fc702610bcb64c409cc3dd4ab246a9679ad99abdf2a69db0191b001e8b379f1

Observation 0e2611d2-f503-43b2-a341-b288f320f7f5 · outbound

This paper cites Redner, Eur.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Redner, Eur

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.319692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.054126Z digest=sha256:ef5e9014f639d26925e1196a3f564971cebd2b63a19f52fe84764a9f76b8b162

Observation 68019518-1214-4ace-9755-169b4ca906ad · outbound

This paper cites Redner, Physics Today 58, 49 (2005).

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Redner, Physics Today 58, 49 (2005)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.304956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.059004Z digest=sha256:ec86124cd38934ec98e6a133320f8e452417e22b587fd79cc53aafbcbe30c60c

Observation 23361212-572f-42ef-b57d-30f48f323a0b · outbound

This paper cites Radicchi, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Radicchi, S

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.290863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.063897Z digest=sha256:f58f035eb81873f6022ca7c0090423af8577160152b428c2047fa3abc0acfe3e

Observation 37565d9e-4346-4124-8de0-5c7667afb60d · outbound

This paper cites Golosovsky, S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Golosovsky, S

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.275802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.068850Z digest=sha256:17c5af0433832934858913b27bbaa476faf32a9abf9d30939289706c2993ec1e

Observation 7ba63906-92f0-4e19-b30e-ee353627130a · outbound

This paper cites Golosovsky and S.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Golosovsky and S

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.260103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.073415Z digest=sha256:a6cf82ea1791d8dfeac441e5157b7553c478a53dbe84bc09822ce0d5a741f852

Observation b7eee1d5-94f8-4f8c-8de8-f99536ba6a88 · outbound

This paper cites Golosovsky, Phys.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Golosovsky, Phys

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.244751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.078284Z digest=sha256:1fdb412ffd421bae0b533877d87695dadb8637cf7833680049b95d019a1e34fb

Observation 8841f6fd-81ee-48be-8352-aaced8e64606 · outbound

This paper cites Peterson, Steve Press´ e, K.A.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Peterson, Steve Press´ e, K.A

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.229110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.082848Z digest=sha256:a50f0ea57fb1280f08c556d5535e3dfb319ab198428d570ed05ccc7d96afa097

Observation 296d0726-91ab-423a-b1fb-2963b98c058d · outbound

This paper cites Steinbock, O.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Steinbock, O

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.213389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.088163Z digest=sha256:fb96810e455e723978aa0b1cb8de862b50b9dde76997dd3f694a08723410064b

Observation 63ad34c4-7cc6-46a2-bd92-8bcda8624a9d · outbound

This paper cites Smythe, H.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Smythe, H

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.198127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.093490Z digest=sha256:f887ecef8528272c0c3c048e7af01aef9dad09bcee071bdcdf216983d5c8e44e

Observation 7e651bba-d9fd-4297-a739-f753af2dba65 · outbound

This paper cites Drmota, B.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Drmota, B

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.181740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.098715Z digest=sha256:e653bfb0b71ef589464cb3c6425aaa6baf7b22eec4ab1267d74c4e5a1c38a8f7

Observation 1d367ae6-c575-4071-8550-7d25dd75724c · outbound

This paper cites Drmota, H.-K.

Analytical results for the distribution of shortest path lengths in directed random networks that grow by node duplication Drmota, H.-K

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:01:08.165323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:01:08.103443Z digest=sha256:a3f8650d9140129db5a7fd41321085c84da31b609016feb66d59544ddeebece5

Pith citing papers

No inbound Pith citation observations are available.