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Paper Citation Record · LEDGER

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized

As of 23 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2606.24887.

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

pith.paper-citation-record.v1
2606.24887 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-25T22:02:43.276906Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T03:05:36.937714Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T03:06:43.573647Z

Reference resolution

36 of 36 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved35
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6c6d8b94-6e08-4eab-9d09-370e45123094 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:b979aa7e2aa7f087445545fe22f13da7d7f602c63ee9315fad32ee20a681633e

Observation 2a284c91-fdcf-47a9-82ac-a40b3ee745d8 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:3aa6769750dd82bdd23d77cae77ad00b74558b49581dc8aee5dbbc605b1ceb03

Observation 30601567-a75e-43dd-ac72-73a621e3c739 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:0bfe9e0b1423b2973542cdf4dea4ef21e07250e896d347840d95cab7accc4e51

Observation e6c81b3f-4c36-4150-a368-4fa354d3ee0f · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:1b40afe60082d3452ded82e72ba6aec40b122ffdccc85610534245b4661e27d7

Observation 53fc8bdf-4c5f-4811-99a8-6b7e44dda149 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:61d249d1dbbb633a390609fa5b95b47ea68da74f0e8c3c444b5f9e189f2748dc

Observation a6f6e8b4-d850-4662-9289-22d59b417b7d · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:4022bb63317f76e13db5d906387362f1e2c252e5f7587cfd3a965cbb5045ff5e

Observation b677d417-df36-4118-b720-d296dac8a587 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:60298c78f7030292fe47e9dbd7585366a92c406dff34f0e1bfcf30db404b5af5

Observation 56f800b2-c2f1-4ecb-90b0-3aebd1d151d8 · outbound

This paper cites Theory Related Fields 173 (2019), no.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Theory Related Fields 173 (2019), no

Reference 8

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:0935e3c83a7b38065f29717230f2f0c0907b2e04bf4ea9fcfb08d1d782562a4c

Observation 2e2abeee-451c-46dd-b83c-0e9e17b33175 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:4d164e61d98028ab95a3c8a485c3eb63c6526379f696b2496409f830aed46c2f

Observation 362b0bb0-9bfd-46c7-8f8a-3d12ddd968ed · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:04a728a8eee85c5f7492f6b007ea9dff299b75a5201515790da734c17f8cdfa4

Observation 149b36eb-1cb3-4fca-a9b2-674e2ec5a05c · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:aa44d85f2bf1dbfe0d010dd01f84ced6e5df34968c68c4959af43775aa981fd8

Observation e9beaaa7-ab58-4837-8a2e-eddbb6c7b099 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:77407c0a63e311e160ad377413db051fe0802becb2f5b8660b3d30d5ea3e7571

Observation e6522189-5c43-4c30-8bb4-6b6da041f1b3 · outbound

This paper cites Synth\`eses, vol.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Synth\`eses, vol

Reference 13

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:60220f0565e60594daf4e8f2ef74da4ee2876e3a0b81c57b3e3ec80d693a1b3c

Observation 0c026d36-40a8-4c76-8a5e-119c9fb7a898 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:da827068e24b47be43cddd72234c21ca3c1988eaf6f3e28325a131522c1b8dbf

Observation 1ec19cda-56a9-4fc5-b632-3cfd92d6d353 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:c4a25975e3099c770eb0c97ccf28fac60186f6a1023a716ad46301e4b3e30ab0

Observation b3a25ee3-f7d1-40e9-8b90-87461674d1ca · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:9a06237c68c569d67db78d97ec714b3568ba9b70bf50b2d71cc01b497b001821

Observation 01aa2a8e-7b9d-4953-8e0f-5fe3dbdbb07b · outbound

This paper cites Theory Related Fields 159 (2014), no.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Theory Related Fields 159 (2014), no

Reference 17

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:4dea96cc29eb1e852372821f77929939ac703782a9ea6edbc30178c736ff08d9

Observation 16a6842e-83cc-47ae-964b-7a5c6b017238 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:b5c3748de2bec6e23c8e5c68f31d61df586f081ee63f257b95ed90da228ec2f7

Observation cb29893b-4cc2-48b8-8a89-d7ed454c3e83 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:76a3145eba2af6fe4d188eddfc95a85350807bebc95f7f4cb7433a568b472b21

Observation edc8d1f1-1076-45ed-a816-fecc2d99312f · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 20

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:518caa731307e9bd27f4bab29753a75b76d45459701884b43838e94f29469543

Observation c4b4bec3-ec17-48b3-b9d2-b7b6d6f450fa · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:852d3585512735823658b3ce228b397efe34875e6e2c37e32d0d61ae53f49c52

Observation f25b4368-3c16-4595-849a-d5e765d1c4e5 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:cf1af5e6f65e88d23a3bf98a5aa5fe2cc373f8dfebb2c245de3dce969b3ea0bc

Observation 76ea48ae-5947-4858-9e7a-6f0656b997c0 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 23

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:ed1699787e21d126112d9d5c21814c09ac4ff2da2608536c6c343d9679ac1351

Observation 3546c793-7cb9-44d8-ae1e-7aabc3dbca44 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:ebd397c3d62578d56491b95086cef6dcedd028dd09ad76210bf6f116ad610182

Observation 979cefbe-87d6-4b6f-8222-ccfce8d360f0 · outbound

This paper cites 4, 694--706.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized 4, 694--706

Reference 25

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:e9c809d107ee5d34b406466e0b4127add4b6dcc93936634b67d2012f71074278

Observation 78054b6f-d14a-4974-8a18-1836f42d8d7d · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:879e685c0d18d9ac11bb2849f819c330d560648e075c66e3afc583c170f54275

Observation 7d56acc7-56d6-400d-8a56-1db02c114c89 · outbound

This paper cites Edge universality of sparse Erd\H{o}s-R\'enyi digraphs.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Edge universality of sparse Erd\H{o}s-R\'enyi digraphs

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-07-27T01:19:43.134169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:3a193ee7e59c9cd75d915e33fa01e824e2372fed8acc5c3670cd78967d72c896

Observation 2fc3a7a9-12ef-4398-9839-61490c61ee8d · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:03d46252a0e4b1bbb09c0221791d332e70a1f3bc7d170e3a419dccbb238bb907

Observation 905ef07a-6956-4004-8914-5c05fbd34b8d · outbound

This paper cites Multivariate Anal.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Multivariate Anal

Reference 29

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:407564b2a0e6134fd4dc94b389f395318a6b89d63f87d9a04e37edc27f1455c4

Observation af4143b2-a539-42c2-9968-6d9610c1cb6d · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 30

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:c6980d529f6bea6ca175af18a1c030a0135e6921251d7062734e191118730d7b

Observation b0abd9e1-754a-4261-9b10-e9f7deee34fe · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:9d1aad40e590cefb9ddb4ff291cead4e3a5d8ea901fa3a59ed5b1c05713e7084

Observation 928cbd02-3834-496a-9a68-b97ba778951d · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 32

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:8267d4fa5bdf506b8ed0a4224509dc5931013d010bcbfb2fc1f12e7002939c4a

Observation b82e59ae-1b39-4fa9-95a6-03463e1617ad · outbound

This paper cites Theory Relat.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Theory Relat

Reference 33

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:2d135f5928b9acf6258ac24c255b68f62eedca7e9b1df613baa2201f32a85545

Observation 79dec6bb-fe6d-4fba-b20e-523c5505215e · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 34

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:5abfa640f1203d175dcbc69582f406dda2ce6505fb17a3fc9f77debf8fe77e1c

Observation 1efa7a14-9d49-4c3e-a188-73b8c0d7109d · outbound

This paper cites 3, 517--605.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized 3, 517--605

Reference 35

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:8411712c485c3e0a048cea47a4d8bd83783ae0f6e6d4d5bc6ff23fdb00fb2761

Observation 7c421281-8e7d-4949-bdf9-1692d8761b33 · outbound

This paper cites an unresolved cited work.

Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-06-25T22:02:43.276906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-06-25T22:02:43.276906Z digest=sha256:a94e5be38f86aea0b183a09c729a6558a90c412705449feef1683a6ca29af352

Pith citing papers

Observation 36bfd81a-26b4-4dee-b7da-786a15937ecb · inbound

Spectrum of Directed Inhomogeneous Random Graphs cites this paper.

Spectrum of Directed Inhomogeneous Random Graphs Critical Erd{\H o}s-R\'enyi digraph: all eigenvectors away from zero are delocalized

Reference 2

Resolution
metadata mismatch
local_arxiv, observed 2026-07-10T03:06:43.574904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T03:05:36.937714Z digest=sha256:89f12da568ee88da8b42faf09c1dc55e26b871d1cc633af16ea0da7e5254485f