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Paper Citation Record · LEDGER

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.01309.

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

pith.paper-citation-record.v1
1908.01309 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:29:30.039307Z

measured 25 of 25 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

25 of 25 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6772b956-0d47-46f2-a127-2d72c696ae0f · outbound

This paper cites Alon and V.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Alon and V

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.408530Z

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 d02e143d-cda2-4188-8ad7-ed53ce3e97b3 · outbound

This paper cites Barvinok and J.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Barvinok and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.393919Z

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=2026-08-14T15:29:29.939006Z digest=sha256:c5667bd87ec0d7b8ba4252f5c1778d62430d16ba8322accd163404aedafe4489

Observation 73bbf1ea-0493-4a2c-af2c-d3fad49fa975 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.380870Z

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 4c4826fd-e5de-42aa-89f0-d221d34a1d3b · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.368234Z

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=2026-08-14T15:29:29.947461Z digest=sha256:f7c20f649f9fac6689a8f7fa487c1f3ce2b0bdaa4ab7d8de93d1f051c9639e57

Observation d0aee07d-ca61-4963-afce-69b3e19ac385 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.355756Z

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=2026-08-14T15:29:29.951957Z digest=sha256:4ff0768afeb70b5e1785fc4d6ce3361e1616ad69adc0f401d0b95c45c1eec4f5

Observation d2b73901-df98-4aae-93bc-8da0f73e9522 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.342698Z

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 8fd0603f-fde7-4d41-8bc3-3b4f3b337132 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.329911Z

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=2026-08-14T15:29:29.961261Z digest=sha256:5cd92fd102097226eeea9039662acc91a0f02a43a697882cf8deafe8d7896eca

Observation a7bc5a29-35b3-4b47-9ef1-ab7bb38a04d3 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.316764Z

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=2026-08-14T15:29:29.966041Z digest=sha256:bfb8fdf199dda992b1e82f9cb5fbc78957d82ae9817c013f11fefa71ce2736e7

Observation c3d6f9e4-0804-465e-8072-24faaebbffb8 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.305497Z

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=2026-08-14T15:29:29.970033Z digest=sha256:9398672ee45cef361f0bcf616f8d3491d6ab60cacbbc0d83331019854b7480fd

Observation e3fae3d7-a335-491e-a10d-7b18e4f5a28b · outbound

This paper cites Isaev, Asymptotic behavior of the number of Eulerian orient ations of graphs [Rus- sian], Mat.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Isaev, Asymptotic behavior of the number of Eulerian orient ations of graphs [Rus- sian], Mat

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.293426Z

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=2026-08-14T15:29:29.973730Z digest=sha256:9e49642a3bf9d717f2729b7e54b1a497491f14e28aedfef4a30779679c4a4232

Observation 67049521-1679-4f05-8ba4-afde848e6a7c · outbound

This paper cites Isaev and K.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Isaev and K

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.280693Z

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=2026-08-14T15:29:29.978782Z digest=sha256:f61aacd6dd988b9ea4467253914d4b766fb8bedfcb1bbe839472377d0b324a0c

Observation fa7ee7a1-749e-43c3-89ea-05cf363499ce · outbound

This paper cites Isaev and B.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Isaev and B

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.268333Z

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=2026-08-14T15:29:29.982390Z digest=sha256:c7a8e140a9ef01da02cdbeb87f1ca5035d2851d2b30fb3594c4557b360d9461b

Observation 27e25906-9c89-4749-b44a-a50eb7d76944 · outbound

This paper cites Isserlis, On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables, Biometrika, 12 (1918) 134–139.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Isserlis, On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables, Biometrika, 12 (1918) 134–139

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.255074Z

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=2026-08-14T15:29:29.986149Z digest=sha256:de64ebf8992381f6daddd5638d6ffd83b3c6a7e71b2712e33317bbddd3e5f3f8

Observation 19e8d752-94e2-4edd-bdb7-cd7def0cf28c · outbound

This paper cites Jech, The ranking of incomplete tournaments: A mathematic ian’s guide to popular sports, Amer.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Jech, The ranking of incomplete tournaments: A mathematic ian’s guide to popular sports, Amer

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.240755Z

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=2026-08-14T15:29:29.990156Z digest=sha256:1813ee9eb9a0e3b5dc3272457a51ec7e12a70c27896f894e918239b594853e88

Observation 50846c63-4ef5-4131-9f30-5a45d18107e8 · outbound

This paper cites Joe, Majorization, entropy and paired comparisons, Ann.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Joe, Majorization, entropy and paired comparisons, Ann

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.225833Z

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=2026-08-14T15:29:29.994149Z digest=sha256:b3ee5178a8b72841cc4fd7a41c2cc3b88ba527fe60bd863b8adbd35aeaa96b45

Observation 553cc7bb-b7b6-46cb-889b-e14a38782e61 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.213334Z

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=2026-08-14T15:29:29.997894Z digest=sha256:40bd94aab052dce0773301dcd70467a0b0aeb6d05cb9971f4c0a584966cab237

Observation 02a8d780-706f-44e8-8be6-fa98824bfc30 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.198325Z

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=2026-08-14T15:29:30.002188Z digest=sha256:2545465d4d80da9f7c5bc7c9110a6cbd038137d316fcdc113a9fb64fce55d0e6

Observation 7d641beb-51fe-4e39-9139-cc9a0b25de19 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.183746Z

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=2026-08-14T15:29:30.006312Z digest=sha256:586013ac58c3afa5a8a2ab8e5279ca796a20d8da2c01a0215b8c0442d4e3f231

Observation dca13200-3dc5-421b-9f65-4e22a80f6c0c · outbound

This paper cites Mihail and P.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Mihail and P

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.169841Z

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=2026-08-14T15:29:30.010766Z digest=sha256:529ebe74b3055f4499bd92a8ef64c82c5cf918fbce2de20c07adbe5a692d9e99

Observation a6c76a0c-7fee-4ea1-96ac-28d205773a6d · outbound

This paper cites Mohar, Isoperimetric numbers of graphs, J.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Mohar, Isoperimetric numbers of graphs, J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.155316Z

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 f8ad753f-9e02-43bb-95f5-b1f5acbccb04 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.140016Z

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 8f122a4f-701e-4caf-a297-c9586f5831cc · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.128285Z

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=2026-08-14T15:29:30.025613Z digest=sha256:2a3c5545c52408ce15ef0fca1f5466e560c05b7227af77196c099acda4660da2

Observation 5ab60f3e-2b3b-44ee-9608-3b2680e41609 · outbound

This paper cites an unresolved cited work.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:29:30.113794Z

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=2026-08-14T15:29:30.030241Z digest=sha256:7fe895bd4f60e707767e3a030e4cc063a023cfa5619f81c73a0b89a0aae56f3f

Observation 4e5d6c03-752c-4047-a9e4-8c9ea92ea815 · outbound

This paper cites Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maxim umproblem der Wahrscheinlichkeitsrechnung, Math.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Zermelo, Die Berechnung der Turnier-Ergebnisse als ein Maxim umproblem der Wahrscheinlichkeitsrechnung, Math

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.100667Z

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=2026-08-14T15:29:30.034758Z digest=sha256:e2a7f433701a5fa30e862ab18ae1894eade5dfacca6962e8ca5c67b7f731d81a

Observation 5083b12b-8886-411a-bd41-25e7a3f4502a · outbound

This paper cites Zhan, Matrix Inequalities.

Asymptotic enumeration of orientations of a graph as a function of the out-degree sequence Zhan, Matrix Inequalities

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:29:30.084829Z

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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Pith citing papers

No inbound Pith citation observations are available.