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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 2026-08-16T06:30:59.297886+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

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.109297Z digest=sha256:3d2545e020751006260c1cf6f38e256f40dfcbd4416a63ffe65ca8717bf3cb85

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.113258Z digest=sha256:b682a77bf16788c4c72a8062487ad196570adfe8840b295ca98ef19fa7e2ee2d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.116147Z digest=sha256:1296824ad70b080bad2f13d0a445af1e54c37cfb48c64b3304ea9abe98e13740

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.119308Z digest=sha256:fc1b963d61db23516c872016e1ba2011c6e8a4080caea44564a1354150a64738

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.122723Z digest=sha256:f4224a9b484f90797bb4b58d3253521ba1c2be5285a56175e45f44b82f4359f4

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.126045Z digest=sha256:a976aeda83553c03c4c9a545c012d6e803cad5284b8bc9b7db1a721d82231ccd

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.129414Z digest=sha256:954270808d1397b34e741710a35f0fc1f078ce9fc40b3b0fa85d8727255131fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.132700Z digest=sha256:985a2ddfcd567b3a1b09ba00177ae84a65167c080acb6095bd9b8c7bb28d7af6

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.136081Z digest=sha256:de1e6e6e20e1d6101ea55cd5821484102a87aff7c831fc0d1d48f0678f724656

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.139212Z digest=sha256:deb25201def10eba8e677e5a0b009cacadbd12d4b9d3101280d5a8867f8477b0

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.142645Z digest=sha256:2cb94b311aca74c5f905b650274761dc00f6bd058fa57f3d54a90f6d07f224ad

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.145875Z digest=sha256:c09e0f4decd3fdad43341fba75fa6129cf0e88d793ac140653bc938aff44694e

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.148987Z digest=sha256:d7d5d9b7906363d5320b29e9a83f3b1ab7c790187be364501784d172bf06f4c5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.152426Z digest=sha256:8bd0aabe3f21f6629b36ab4d3853dc300f99167607d7b2c552298ea610ef55f3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.155252Z digest=sha256:23e173ccd677157910bb2d8f152c625a38821eae99ae60e3da98fc9740e12986

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.158055Z digest=sha256:1425c7d51e92e5d28c2cbb7bb7684b466c7eb8bbf25caf6ad9e3ba7e00ca8405

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:59:14.160653Z digest=sha256:79717da3054a60553c346d2d87605af943b885f3978bbea3b3189450e1cbd955

Pith citing papers

No inbound Pith citation observations are available.