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Paper Citation Record · LEDGER

Distinguishing Number of Non-Zero Component Graphs

As of 19 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.109297Z digest=sha256:eae1e5176f12c7865e0346cd6b00469f997fadbaa9d3e023da2784508a9490af

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.113258Z digest=sha256:3595eb0c33af68c3e61b6b80da8e4d6713dd6a31008a2830e92b5b2a1761ccf4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.116147Z digest=sha256:1fb74c609135be45842271fb5a3f974d179b6dd220c2f017e9a8f015e8b74f63

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.119308Z digest=sha256:520957c4be3a44602a724e2283866e4a428acb7abbb309a952b3afbb91b74982

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.122723Z digest=sha256:8cf8963aa19a762345dde8210e082cf2df5f5cc9a55202594922a71bde558e29

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.126045Z digest=sha256:8e3675714cb75db64db41f917b326a3e50b91cea3a28e87e42002926cd463486

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.129414Z digest=sha256:cbbeeea1b0c9c7f3ac460b990fbf8f7eddcf257c3c4bebb96e88928daeb15499

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.132700Z digest=sha256:396c6e598fbbe713a7b5d7dbbd174057ad3d72aaee45fc470202d0916e1de304

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.136081Z digest=sha256:a2e47ceca33639acf46b801d4dd07f88a2d1d50bb52d23b9185b920b7962403d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.139212Z digest=sha256:af5d37762d066b83b9adf7d62f569eff35de5663beb7569e716b45d83822508d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.142645Z digest=sha256:1335eec824738ce86ae94bbdbfc4d0817a58cdca3cda47e0b9fa59d9d9019c68

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.145875Z digest=sha256:9410636fca68d11e0941fa399124558fdb720730ed57384862a16e9805cda9b6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.148987Z digest=sha256:602959219f02d1a27cb4d2d72f970634e1bb3defc73ab08d96bb32db356c3a75

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.152426Z digest=sha256:0c30bbcdd6f633a4e74db0a0bf383db4a4a092a845dc8aa70d29a0e2df65ae78

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.155252Z digest=sha256:d09979c44c977dd8260861ba3d712ea6d343ce4a3a871c158fcce5202935366c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.158055Z digest=sha256:cf157df63ae8984819d9d426cadbc0502c53ca3c247ecfdc114353b0371ef1a6

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T15:59:14.160653Z digest=sha256:9e1d8d3e799c629ea6169e500ce7c1301f180ddab03d9a717aba4e4e9ff82546

Pith citing papers

No inbound Pith citation observations are available.