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Paper Citation Record · LEDGER

Distinguishing Number of Non-Zero Component Graphs

As of 17 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:1908.01001.

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

pith.paper-citation-record.v1
1908.01001 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:59:14.160653Z

measured 17 of 17 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

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f0eb639e-edd7-44dc-aa7e-c5b60a7e02ae · outbound

This paper cites an unresolved cited work.

Distinguishing Number of Non-Zero Component Graphs Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:59:14.389411Z

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=pdf_text observed=2026-08-14T15:59:14.109297Z digest=sha256:030c6b8f536cc0c59279e4307cafe735246c1bf531b801cf0e1053975ef38425

Observation 972e443e-9413-4742-bf79-dac36c2b4f10 · outbound

This paper cites an unresolved cited work.

Distinguishing Number of Non-Zero Component Graphs Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:59:14.382060Z

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=pdf_text observed=2026-08-14T15:59:14.113258Z digest=sha256:dc1405f3e045bfdfb2401638ff6ed4d613db5c5d3b3b8554b6f66c7b68153e28

Observation c266acab-a76e-4906-9827-2708797981ae · outbound

This paper cites Bates, D.

Distinguishing Number of Non-Zero Component Graphs Bates, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.373598Z

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=pdf_text observed=2026-08-14T15:59:14.116147Z digest=sha256:2505cb32f3ae46aac05ab43c8070c91573a6cc2d6a5e16c71912afada1d6f4f9

Observation 10dca832-491a-4fda-8845-0d89de527fec · outbound

This paper cites Beck, Coloring of commutative rings, J.

Distinguishing Number of Non-Zero Component Graphs Beck, Coloring of commutative rings, J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.366105Z

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=pdf_text observed=2026-08-14T15:59:14.119308Z digest=sha256:5228d1a5d7c8bcb2e5b1f53473c2300ec89a2bba38d1ce171896a35792e818b1

Observation 105b9fd2-054f-43bf-aa5c-7e4b1cdfd381 · outbound

This paper cites Benish, I.

Distinguishing Number of Non-Zero Component Graphs Benish, I

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.357730Z

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=pdf_text observed=2026-08-14T15:59:14.122723Z digest=sha256:c959e7399c7ed8197feb0ac83f7e625e8b6b4726e3289763e7f554e5fb55a9f2

Observation b4cc46b2-3c93-4a93-bd77-94450c6eecfd · outbound

This paper cites Bondy, The connectivity of commuting graphs, J.

Distinguishing Number of Non-Zero Component Graphs Bondy, The connectivity of commuting graphs, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.349595Z

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=pdf_text observed=2026-08-14T15:59:14.126045Z digest=sha256:2fc44b6a9153f32a59341652f1fa881dab2f055c99e17b43ecd7c3e580f16176

Observation a9db0f8b-c797-4c52-8896-660041f89726 · outbound

This paper cites an unresolved cited work.

Distinguishing Number of Non-Zero Component Graphs Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:59:14.341654Z

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=pdf_text observed=2026-08-14T15:59:14.129414Z digest=sha256:f19c5527d58ea37db69ee6c0e50820daae7818176c97aa4140046eddb08f52b4

Observation 2e038e49-8272-4866-b9b0-42902bb56d5a · outbound

This paper cites Chakrabarty, S.

Distinguishing Number of Non-Zero Component Graphs Chakrabarty, S

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.334162Z

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=pdf_text observed=2026-08-14T15:59:14.132700Z digest=sha256:abde16b931dfd81cac7b6d95570681f2d3d60f091caf1820c0438fdd806836e9

Observation 3472ded7-9dd2-47a8-84dc-7da5ec1cfee2 · outbound

This paper cites Das, Non-Zero component graph of a finite dimensional vecto r space, Communi.

Distinguishing Number of Non-Zero Component Graphs Das, Non-Zero component graph of a finite dimensional vecto r space, Communi

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.326474Z

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=pdf_text observed=2026-08-14T15:59:14.136081Z digest=sha256:69c69ffc3a18746a6148edfc4d88843cde91f1969f8964a7f61a083a06ea5f84

Observation 9160db7c-347c-4c32-98de-7ceb4033fda4 · outbound

This paper cites Das, On non-zero component graph of vector spaces over finite fields, J.

Distinguishing Number of Non-Zero Component Graphs Das, On non-zero component graph of vector spaces over finite fields, J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.318270Z

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=pdf_text observed=2026-08-14T15:59:14.139212Z digest=sha256:cdbe17d18755e91e885b941b851937d2b06f4846d15d4ed5f413eae0c5fa98f0

Observation b40f2d49-64f0-4687-82a4-9738844c3eb1 · outbound

This paper cites Fazil, Determining sets and related parameters in graphs, Ph D Thesis.

Distinguishing Number of Non-Zero Component Graphs Fazil, Determining sets and related parameters in graphs, Ph D Thesis

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.309131Z

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=pdf_text observed=2026-08-14T15:59:14.142645Z digest=sha256:39e4cf9dae39a5c732071450870f68302e18e546fc4563e7bfcfe3bb84f7b51c

Observation 2c9e3db8-1a70-4e50-aa33-c63eb24c990a · outbound

This paper cites Fazil, M.

Distinguishing Number of Non-Zero Component Graphs Fazil, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.299426Z

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=pdf_text observed=2026-08-14T15:59:14.145875Z digest=sha256:4c8e176b41e08c8ef0a7c179130fca04c3c409dfcba7f36fd7b1fb5100619b13

Observation bf5c3433-f665-4e7d-be09-eb3226bdb4b2 · outbound

This paper cites Results on the intersection graphs of subspaces of a vector space.

Distinguishing Number of Non-Zero Component Graphs Results on the intersection graphs of subspaces of a vector space

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:59:14.262401Z

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=pdf_text observed=2026-08-14T15:59:14.148987Z digest=sha256:95714ad64b4c542174708e1c365e86c7579b76ed541819845a417be51ab99cb8

Observation 81509101-8865-4ee4-8ebf-a27e1b8961fb · outbound

This paper cites an unresolved cited work.

Distinguishing Number of Non-Zero Component Graphs Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:59:14.290390Z

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=pdf_text observed=2026-08-14T15:59:14.152426Z digest=sha256:22b2360d8482560f76c8e100036238c7d57217f86b3858509d796b4f9120aa2a

Observation 00eaf1ba-fcb9-4580-9d09-b0db688df029 · outbound

This paper cites Murtaza, I.

Distinguishing Number of Non-Zero Component Graphs Murtaza, I

Reference 15

Resolution
verified exact
raw_fallback, observed 2026-08-14T15:59:14.248730Z

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=pdf_text observed=2026-08-14T15:59:14.155252Z digest=sha256:7d7fd7f95f4b310f591fc472aaddb7a48f09b6ac6ac3a0297b2ceb947c7907c8

Observation b8dcfc90-f630-4a0d-b5c2-77ea16d5a8bc · outbound

This paper cites Rubin, The blind man’s keys.

Distinguishing Number of Non-Zero Component Graphs Rubin, The blind man’s keys

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.281091Z

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=pdf_text observed=2026-08-14T15:59:14.158055Z digest=sha256:c497490a08b5112a3937203eff67e44023d2aae2ddef306633912a41a2960fa5

Observation 7e5f9401-c274-4a69-b334-7f90d226a594 · outbound

This paper cites Talebi, M.S.

Distinguishing Number of Non-Zero Component Graphs Talebi, M.S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:59:14.271909Z

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=pdf_text observed=2026-08-14T15:59:14.160653Z digest=sha256:716c82c7eef2a613fcfd3b162e367840b76aaff7123442cb6366b1e6a80b3d43

Pith citing papers

No inbound Pith citation observations are available.