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Paper Citation Record · LEDGER

Harmonic Analysis of Symmetric Random Graphs

As of 17 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.06456.

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

pith.paper-citation-record.v1
1908.06456 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:53:12.206838Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved19
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cb0132d2-2c45-4734-86b9-6dffc599235a · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.572903Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.102340Z digest=sha256:3dd23995ee991f400876e010343d080225218e9d3ad649a782d9d0aa71527800

Observation 7e452246-19c4-4fe9-9eca-bdf0fe563b64 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.556700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.106820Z digest=sha256:8e1bfc68deb06fb363a468ed345f2b0d24f4300b14a1bfd897ac448ee3f71485

Observation 72228a8a-8771-46d5-98f3-485a15a96584 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.542307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.110677Z digest=sha256:0b684ffa6cc8d955467768a4f4e8da2ec004453f1f38a00e1f5b037591ca5e4e

Observation 9ec980e9-5e2c-4b54-9422-9cc1abf9f5b6 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.529234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.114874Z digest=sha256:b27437549a52affc14340300f63cda9c64aa51365822b4df3b3c35f35eaff4b8

Observation bfca2aef-fdc8-4ddc-bf22-79468f429090 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.512421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.119119Z digest=sha256:d0342eed1e1b009d3a11c6981cd033396895f8b8fcee89899022233477457971

Observation 93fdf041-8d08-4fa2-a157-713ba80b4619 · outbound

This paper cites and Freedman, D.

Harmonic Analysis of Symmetric Random Graphs and Freedman, D

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.497005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.123466Z digest=sha256:a292d4ae8cc787df7df527c12f8415d5fc26f73beb3ae7325059714f4d8d5460

Observation c1abaf3c-5764-4d58-ae2b-56b3dad704c0 · outbound

This paper cites and Freedman, D.

Harmonic Analysis of Symmetric Random Graphs and Freedman, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.484146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.127859Z digest=sha256:7679027e2ebe27993282495b5173d3e7f38f9a5fd82ebdff3e0f239d1a07fa83

Observation c955f1a5-5d74-401a-b66b-ff0aca761299 · outbound

This paper cites and Janson, S.

Harmonic Analysis of Symmetric Random Graphs and Janson, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.468997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.131965Z digest=sha256:b516dadd653225ff9780acd691ae68775f099209a847b8165922e51f68d9621a

Observation ae6efb3e-d5b0-4710-9a88-211de5bf8afc · outbound

This paper cites and Richardson, T.

Harmonic Analysis of Symmetric Random Graphs and Richardson, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.456988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.135576Z digest=sha256:58e6bca95cdb876af00573c8eb3885f74c5fa376bcf6b11e5d8e04b1f21c6665

Observation 0fa4818a-e34b-4173-986f-04f98d6a8fc5 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.443231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.139493Z digest=sha256:88c80271f1a88aa4e41f54ef05733587bd38c82bc93e883bd49c6b90e190b50b

Observation 25963e2f-d8ca-4b52-a68c-c44250ad9ef4 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.430252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.143549Z digest=sha256:f332dbc41da20fda3aa7b126bf9e5631932c31aac1cc19eb58e78452f2793e37

Observation 3a324786-e18f-4a32-886d-d8d1a5a583f8 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.415572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.147265Z digest=sha256:dc2b09726988649988a42d926cb47a18701c70c7ec9d5e07425c50dbd6b196b0

Observation 6d0fed63-8d02-46bb-8d93-61ef690c3407 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.402713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.150961Z digest=sha256:98e5f95ba3f5a8838f3d46c5b15a43a12cd769a512718a5c24e2e442a3fa28e5

Observation e3e656bf-8ee7-4b9c-92cc-70b0d0f4f008 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.389720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.155152Z digest=sha256:419a46ec157df9eda6951e26084cd4ed668a3a107a3a57708d2eebf97620740e

Observation 5f1c5c37-47f2-415f-9026-aee2088cd890 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.376308Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.159335Z digest=sha256:6c551524dd84935c8e85c3c22ac078be500e2487f08608898d098214ec1a1d79

Observation 2a630c16-7d18-4bc8-b75c-3f783c4db626 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.363153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.164256Z digest=sha256:4a90af0e16825283b0a93f9bccf8b3082c78bdf16bae9a5673b07ae1bf1d25b0

Observation 0860f190-8178-4f33-a26e-27fa556de323 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.352294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.168361Z digest=sha256:6f1149dd7d9497b4d12434ea495196f17fa891e7d38c1990dc215179995ba8a7

Observation 9234939a-6257-441b-a3c9-c979426f2032 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.341988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.173934Z digest=sha256:03176b95a45852059aecfc6e384dac0336051e607e94e3a194d629834bd6b4ae

Observation 2e9c55d9-f9f5-4067-9260-71eb3e3ee149 · outbound

This paper cites and Szegedy, B.

Harmonic Analysis of Symmetric Random Graphs and Szegedy, B

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.330286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.178190Z digest=sha256:12dcc10ee01e2b195f91e07afff0bbf008cfee55e82b0e5610006a73a2422239

Observation abab5009-e3a1-4ffa-9617-f5a06150203f · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.317314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.182564Z digest=sha256:81844e052de0d62ab59d034a8ba98cd4a30f3560df60a2676b86b515c2c54f73

Observation 269788a1-efb5-4111-98a5-dd835647da36 · outbound

This paper cites and Roy, D.

Harmonic Analysis of Symmetric Random Graphs and Roy, D

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:53:12.303685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.187319Z digest=sha256:22e2cb1d89753486e5d14099307fa9af6ac68cd5bf57a99c0241fe64e6fd1dab

Observation c34d107a-e4a7-48cb-9632-2ac99f90c717 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.288792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.192430Z digest=sha256:24e2a6852c5b9ad90e19ac1912231b85f58defc536ca37e24078e972f21ec567

Observation 90531d73-620f-441b-a8ea-b8a7fc5ac000 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.273333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.196904Z digest=sha256:328494db4cf73e8536a0da282e3d1ca21dac7b4ef915c2084c244b18002009bc

Observation 48125a13-fcec-4018-aff4-316a9d63f311 · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.260980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.202706Z digest=sha256:92eddc89cbb776c157a88da273cdda9a04db5969445311ed80096e0fe5e938e6

Observation 1f1fc9e9-b6af-4811-8be1-9ade55c517cb · outbound

This paper cites an unresolved cited work.

Harmonic Analysis of Symmetric Random Graphs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:53:12.247117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-14T12:53:12.206838Z digest=sha256:74e576ef20b484057d19c5f2c79166e8599741db9136d0a68ab2f66310d4b9f8

Pith citing papers

No inbound Pith citation observations are available.