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Paper Citation Record · LEDGER

The principle of least action for random graphs

As of 7 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.01468.

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

pith.paper-citation-record.v1
2507.01468 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:56:22.025295Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-10T19:33:26.477847Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T22:50:48.610561Z

Reference resolution

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy14
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 435131a6-5504-42d9-aafe-6541b26e5dc6 · outbound

This paper cites Kleftogiannis and I.

The principle of least action for random graphs Kleftogiannis and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.418415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.523486Z digest=sha256:0543120e253cfdcfbcae8518238cbd17aca6dcc01f28b11db159a77456d5e9e1

Observation 4ec27a24-23a5-4870-9592-85b62b25a38e · outbound

This paper cites Emergent spacetime from purely random structures.

The principle of least action for random graphs Emergent spacetime from purely random structures

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.592476Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.592476Z digest=sha256:1b03e8ecb2ddd57d62cfd69015170f7cc87dcf127388e9233ff8e02697059ede

Observation e7786e91-b5cf-498a-b4a6-847066aa7e0d · outbound

This paper cites Quantum Grav.

The principle of least action for random graphs Quantum Grav

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.403050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.728833Z digest=sha256:39cf74ec23c031fcbfb3c86e3e6c104b4ed286ff1d66990a7efb01b119bcb57b

Observation 9e0edf06-ace1-44fd-ad72-2a4180d72bd9 · outbound

This paper cites Rovelli, Living Rev.

The principle of least action for random graphs Rovelli, Living Rev

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.388243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.901835Z digest=sha256:13387431e68d7759ba5c998c9bc9407c015a50d6353d1e34c3e83f18a05b6af9

Observation 58f7fd95-fd99-4311-b497-9dde2d46329c · outbound

This paper cites Bombelli, J.

The principle of least action for random graphs Bombelli, J

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.372244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.926165Z digest=sha256:049beba3d3ccc35abc1e52093f218c8dc98b9ab5ac36034530a02c89a7ed9a83

Observation c83d3477-f038-4cf4-9c35-af8f23a26f10 · outbound

This paper cites Dowker, Annals of the New York Academy of Sciences1326, 18-25, (2014).

The principle of least action for random graphs Dowker, Annals of the New York Academy of Sciences1326, 18-25, (2014)

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.931030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.931030Z digest=sha256:5b082e702573fe79b02d93bb524711288c1c54f097ff248fbfba15482dedaf53

Observation 2ddc9789-baec-46c6-a415-58595efbf562 · outbound

This paper cites Dowker and S.

The principle of least action for random graphs Dowker and S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.342850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.937047Z digest=sha256:294a641a97e2fbe11c6bf2fed7f95d1dc3d6cac9de37c0e4c9809d6acd2f4bd1

Observation d9630a95-8be4-40a7-9719-224f7a78bbd6 · outbound

This paper cites The causal set approach to quantum gravity.

The principle of least action for random graphs The causal set approach to quantum gravity

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.941976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.941976Z digest=sha256:30d22160257425878fda5dc8687466429c5757880c51dbc00bac060ec437e187

Observation e255842c-0bbf-4ccb-9a47-e14724b47c1d · outbound

This paper cites Wolfram, Complex Systems 29, (2) pp.

The principle of least action for random graphs Wolfram, Complex Systems 29, (2) pp

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.326994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.946849Z digest=sha256:2adbcd01d8431ee9418c8b5468bf0869288b86b9b90243659df30e592b12babb

Observation 08a04461-ca4f-40f6-bdbb-6bc885f4aff8 · outbound

This paper cites Gorard, Complex Systems, 29, (2) pp.

The principle of least action for random graphs Gorard, Complex Systems, 29, (2) pp

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.311468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.951774Z digest=sha256:c33badf2a8298ccd27956c1246579edffb0d6a668539c722e32bfaaab0c28605

Observation a6ba4436-22c5-4a97-8a38-da5e7548d85c · outbound

This paper cites Konopka, F.

The principle of least action for random graphs Konopka, F

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.297374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.956158Z digest=sha256:38ae98ffb896748fba7fda25b405611968b0187ee09fbf61a91a77f88d9849f0

Observation 7a67e5fb-7480-4df3-8390-831c6c3ff420 · outbound

This paper cites Trugenberger, J.

The principle of least action for random graphs Trugenberger, J

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.960867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.960867Z digest=sha256:eab0a38f330ca3bb1e56dcf79171c55ce1b06da1c609402d22ce7517ad0c8bd1

Observation 1b43d4ed-3394-4918-a5fb-65fda7d70e95 · outbound

This paper cites Kelly, C.

The principle of least action for random graphs Kelly, C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.272828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.965539Z digest=sha256:73ebd92148c9241c03c3893f0e4fac767a6a8de49798e2a5bb0b6d1232d2eab0

Observation e9e7214a-fed6-4a1a-a6fd-efcf41d36dfa · outbound

This paper cites Erd ˝os, T.

The principle of least action for random graphs Erd ˝os, T

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.257381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.971012Z digest=sha256:66069a7527fb9abc3a841f5eafd6577fe4e1465e470e0dd57435cec059268668

Observation 9da8c389-0384-4716-b358-8e3c8e2a8a49 · outbound

This paper cites Aigner, E.

The principle of least action for random graphs Aigner, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.241890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.975670Z digest=sha256:66ce38724e2a38df0d329b5201cc5f44fa3ddc94519cf348643ced8cf622a185

Observation 9b77116f-58a0-4028-aa9b-a90fc13faa3e · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.227035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.980612Z digest=sha256:860c7b77ce308ed4cbfc6cf8a2b33b6e0fc9340583229c927b0e13d8e180ffef

Observation c8ca1171-68a9-45a1-b132-57aa231b7855 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.985852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.985852Z digest=sha256:f56ef47606893a36301ad2d1a374651670d9d2c7a8d6025a931e94399853dedc

Observation 66d914b4-ebd4-465e-874c-6dfe28e347e4 · outbound

This paper cites Frieze, M.

The principle of least action for random graphs Frieze, M

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.990236Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.990236Z digest=sha256:a70933158e5cdbad6e2a08a2aaa5856a3d545500878f8961e8832a71c4af8d62

Observation 5cffe748-7f46-4353-8660-70f54e28fc85 · outbound

This paper cites Berg and M.

The principle of least action for random graphs Berg and M

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.192342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:21.995130Z digest=sha256:6ed004cbcd021b8f34300f0a5855e01bf413461179c4165518bdc55ed3f60706

Observation 73bb770e-1c9d-4804-a7d5-cf22766fb0e2 · outbound

This paper cites Mizutaka and T.

The principle of least action for random graphs Mizutaka and T

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-06T20:56:21.999379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:56:21.999379Z digest=sha256:f011978ed95eaa885ccaefcc50acc5ea50331f662997c217e094239748b8cff7

Observation 21f112f1-acca-4440-acf4-08b5139d8668 · outbound

This paper cites Dirac, Physikalische Zeitschrift der Sowjetunion, 5 Band,3, Heft 1 (1933).

The principle of least action for random graphs Dirac, Physikalische Zeitschrift der Sowjetunion, 5 Band,3, Heft 1 (1933)

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.164361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:22.004663Z digest=sha256:165324bb8badeb414d05bf6d127dfedfabb7c145b1d5024d2866053c2b4a2be8

Observation 7c51b9a9-7a9b-4d27-aab5-701bccbd37df · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.148149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8df345ef-68a4-44e0-af34-bb3df0972bc4 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.132322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 0513dc31-f25f-49fe-a1ea-65ab1d4a4ad9 · outbound

This paper cites an unresolved cited work.

The principle of least action for random graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:56:22.116399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:22.019700Z digest=sha256:84c3cccac7336e5683f74f71db4f4e81b97bd83d346353d196a264737834534a

Observation 4dfb4c1f-a154-4738-b16b-9a350e051132 · outbound

This paper cites Schwinger, Quantum Kinematics and Dynamics (1st edition: Benjamin, 1970; 2nd edition: Addison-Wesley, 1991; 3rd edi- tion: Perseus Books Group, 2000).

The principle of least action for random graphs Schwinger, Quantum Kinematics and Dynamics (1st edition: Benjamin, 1970; 2nd edition: Addison-Wesley, 1991; 3rd edi- tion: Perseus Books Group, 2000)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:56:22.101118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:56:22.025295Z digest=sha256:4703e114bbe9994e4f99866a0d6c38ce981845cc8ea157f5d9fd518e92003ac6

Pith citing papers

Observation b527872a-f8b3-4ca6-9b9b-ecb15a5f5839 · inbound

Mass generation in graphs cites this paper.

Mass generation in graphs The principle of least action for random graphs

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:50:48.612326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T19:33:26.477847Z digest=sha256:e495b5cfab336f67dea9fc796b43f346f9f069a0926facb8b70b722f1878a03a