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Paper Citation Record · LEDGER

Bounds on the $\alpha$-distance spectrum of graphs

As of 16 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:1908.03893.

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

pith.paper-citation-record.v1
1908.03893 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:10:09.170942Z

measured 30 of 30 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

30 of 30 outbound references displayed

  • verified exact3
  • verified fuzzy15
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5ff6accb-4018-4ac5-959f-bffd29916085 · outbound

This paper cites Aouchiche, P.

Bounds on the $\alpha$-distance spectrum of graphs Aouchiche, P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.666068Z

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=2026-08-14T14:10:09.057947Z digest=sha256:539016b1f95dc5dbee9ffd6e25e980008bf2d37f19905f6ad3aab0a9ccb8a7a2

Observation 0b5a6c66-f404-4f75-9968-4338a2e7b195 · outbound

This paper cites Brualdi, Energy of a graph, Notes for AIM Workshop On Spec tra of families of matrices described by graphs, digraphs and sign pattern s.

Bounds on the $\alpha$-distance spectrum of graphs Brualdi, Energy of a graph, Notes for AIM Workshop On Spec tra of families of matrices described by graphs, digraphs and sign pattern s

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.654234Z

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=2026-08-14T14:10:09.062971Z digest=sha256:f2f9f9ca31409b692788e28de808ab977e418a96aa78bf1d4c42e83944e46418

Observation bb8fd073-afd4-43cc-a963-c7f08ca4f7e1 · outbound

This paper cites Cui, J.X.

Bounds on the $\alpha$-distance spectrum of graphs Cui, J.X

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.641458Z

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 1b8b66a3-4d9f-4539-a19d-fb4955ca8956 · outbound

This paper cites On the generalized distance spectral radius of graphs.

Bounds on the $\alpha$-distance spectrum of graphs On the generalized distance spectral radius of graphs

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:09.348673Z

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=2026-08-14T14:10:09.070899Z digest=sha256:0d47ec62d2c2a6d16af9274f88dfa0975a50065a824358a4023f9c0bea4ad02e

Observation 2c944fb2-22a5-4e90-9da8-4cb511c3e347 · outbound

This paper cites Cvetkovi´c, P.

Bounds on the $\alpha$-distance spectrum of graphs Cvetkovi´c, P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.631711Z

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=2026-08-14T14:10:09.075724Z digest=sha256:d6a1a44f397ceb1b62e72449fabba390f64f49493e95d51039a3ffcc4674c689

Observation 7af68bf6-5e73-46b8-b997-ae5d36ae93c3 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.619505Z

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=2026-08-14T14:10:09.079829Z digest=sha256:7c3fac1a38eb33704352c70a6cb12f73f3a37721b61cdd98c22e64735cf4266f

Observation d4f20c8d-1975-4ecb-a01e-834c2db1de5c · outbound

This paper cites New bounds on the distance Laplacian and distance signless Laplacian spectral radii.

Bounds on the $\alpha$-distance spectrum of graphs New bounds on the distance Laplacian and distance signless Laplacian spectral radii

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:09.332043Z

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=2026-08-14T14:10:09.084423Z digest=sha256:b4fe9455b78b44d6dcd861efd8bbd719e06c282e1ebe05d260b975bb2021cedb

Observation 0114dae0-01a7-4cb2-991e-6c40e06bddb4 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.607614Z

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=2026-08-14T14:10:09.088796Z digest=sha256:73c4f4b23ff1af943d568ddbb11b5ab1cd45a04d3f6d146dc3e036a8374aed69

Observation aa10bdec-82be-4f0c-bc58-6f84f3127089 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.593985Z

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=2026-08-14T14:10:09.092912Z digest=sha256:6f1e5be0d878e5f7ad87b713020ea7b974625cd2e7d308bdf4db3192b7df8534

Observation e69c01d1-0934-481c-9309-712718945326 · outbound

This paper cites Graham, L.

Bounds on the $\alpha$-distance spectrum of graphs Graham, L

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.582177Z

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=2026-08-14T14:10:09.097066Z digest=sha256:c3889a34360603aa1f81922a498c789972ef4b6504375035fb75d643c9fa10d9

Observation 52ebce7d-9df7-4b34-9553-53c776c8346b · outbound

This paper cites Graham, H.O.

Bounds on the $\alpha$-distance spectrum of graphs Graham, H.O

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.570640Z

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=2026-08-14T14:10:09.101637Z digest=sha256:8819575adeffd49e4afe81e2e83f7e0f36a5876dad2126631b663659638b5426

Observation 0edab1f9-f4ac-4e7a-b555-b36c2eab90c2 · outbound

This paper cites Gutman, Acyclic systems with extremal H¨ uckel π -electron energy.

Bounds on the $\alpha$-distance spectrum of graphs Gutman, Acyclic systems with extremal H¨ uckel π -electron energy

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.559703Z

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=2026-08-14T14:10:09.105630Z digest=sha256:a56c9ccff371908629e9e1b5c5f90ef8b6419af6bca60ee7e9e718555d7e6004

Observation f15b7f36-a28f-436b-b7a8-d781d8fbd87a · outbound

This paper cites Gutman, The energy of a graph.

Bounds on the $\alpha$-distance spectrum of graphs Gutman, The energy of a graph

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.547873Z

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=2026-08-14T14:10:09.109057Z digest=sha256:cc06a7a353ab52c4b4c10f420ac1b4971079a91dbf125262022c43fc4392a077

Observation 87b9b6e5-0bc3-4b40-b46a-caaaa2c9ac6e · outbound

This paper cites On the distance $\alpha$-spectral radius of a connected graph.

Bounds on the $\alpha$-distance spectrum of graphs On the distance $\alpha$-spectral radius of a connected graph

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:10:09.313105Z

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=2026-08-14T14:10:09.112717Z digest=sha256:2926223d1444d74d1f17338c3f63768eb88acb228e045c0aa8b3f4e594f54df1

Observation d07c4d53-732d-4849-9815-0f6663ec8008 · outbound

This paper cites Gng¨ or, S.B.

Bounds on the $\alpha$-distance spectrum of graphs Gng¨ or, S.B

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.536777Z

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=2026-08-14T14:10:09.117376Z digest=sha256:24b781e4e6473830c83b69ab9164e0f1bf331767eab65dac64ce9b9c11046b7c

Observation f1d81a33-346f-48e2-86bb-03ac12f266ef · outbound

This paper cites Haemers, Interlacing eigenvalues and graphs.

Bounds on the $\alpha$-distance spectrum of graphs Haemers, Interlacing eigenvalues and graphs

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.525435Z

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=2026-08-14T14:10:09.121139Z digest=sha256:b5e1f4808517cd252b1cdbebea85920bfbd362dea31879a5aab61ec9ba903d4e

Observation c8604ca9-3c3e-403e-91ba-a75a99b389a4 · outbound

This paper cites Indulal, I.

Bounds on the $\alpha$-distance spectrum of graphs Indulal, I

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.513546Z

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=2026-08-14T14:10:09.124698Z digest=sha256:c90dd8e645de7697502a6e2ed39abb666128a26aa164abbc5f37c0e96da14dc8

Observation a05d5ec4-6b3c-4aa3-ba0b-39954a8e9f37 · outbound

This paper cites Koolen, V.

Bounds on the $\alpha$-distance spectrum of graphs Koolen, V

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.501048Z

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 1724261f-148a-428c-8b9b-a81f0c3fc1f4 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.488712Z

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=2026-08-14T14:10:09.132863Z digest=sha256:a8998daf9559ba5d9db37f88122e5cd9513e1156b3b0da14582e4efe48d5a373

Observation 5bcf697d-0a76-41c4-8dd2-552fd2aa2fc4 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 20

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:10:09.136876Z digest=sha256:01cd398cc732a7d7fb729e436955e3dc868cc9dcd2757100619f33b95e168bb0

Observation 367c4fa9-e9a9-4a9c-a16e-540d86b8ea93 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.476507Z

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=2026-08-14T14:10:09.140612Z digest=sha256:ac83bd93628708532c1b32bdf0ad96714c5f8a4b0aa0ecb4f42f7a4777a76517

Observation 09dbdf36-ce0e-4871-9ce6-840113bcb63d · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.466001Z

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=2026-08-14T14:10:09.144317Z digest=sha256:0df18178c31ab422ff071d4ef7f2e13b11889c6d6dbc3dbba3c46430fab0ec21

Observation d93ec805-a0b2-4df5-adc7-b623314cbfc6 · outbound

This paper cites McClelland, Properties of the latent roots of a matrix: The e stimation of π -electron energies.

Bounds on the $\alpha$-distance spectrum of graphs McClelland, Properties of the latent roots of a matrix: The e stimation of π -electron energies

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.454996Z

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=2026-08-14T14:10:09.148052Z digest=sha256:f8b7b67a95583fffd6bfe20954e6405c0af8e94dd5c5824e71504831b8eb7f7e

Observation 9841ecf7-c334-4339-b3b7-7b0b9d539370 · outbound

This paper cites Nikiforov, Merging the A- and Q-spectral theories.

Bounds on the $\alpha$-distance spectrum of graphs Nikiforov, Merging the A- and Q-spectral theories

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.442039Z

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=2026-08-14T14:10:09.151599Z digest=sha256:362f4481e0d877d694b962acd6d1e5d71c88a32a6401f51bd92b70e7f771db2e

Observation d839e94e-8b43-42e6-90de-86fd0ea00c3a · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.428821Z

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=2026-08-14T14:10:09.155061Z digest=sha256:c956e17b0b9643ce0bddbbe989a1129ae7e9d44d7aa0709c854c9cabfcf8058a

Observation 11f2f278-b154-49a7-85fc-42be5299aa49 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.414902Z

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=2026-08-14T14:10:09.158462Z digest=sha256:b621574cdebb3086e5d8c2d85b3a8b399f17c0b75b225332f89f86d7b06b0f7f

Observation c2c24c35-730f-43dc-9062-fc4e8da293a3 · outbound

This paper cites Winkler, Isometric embedding in products of complete graph s.

Bounds on the $\alpha$-distance spectrum of graphs Winkler, Isometric embedding in products of complete graph s

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:10:09.402377Z

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=2026-08-14T14:10:09.161609Z digest=sha256:84e03e3f44b78a2da1502467ef82b23a687f43d0d37879577c74b6c6f5d0bd7a

Observation 0e70ace4-de63-4dd4-a586-8d59ae3c9a53 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.388808Z

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 3409cfc0-2757-461d-b4ac-1598eb730c14 · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.374498Z

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=2026-08-14T14:10:09.168034Z digest=sha256:d5e5bfaf41aaef144a7df00c60caa1d74d2c8652b7de22b8008601b90ea0bb8a

Observation 89654dff-4060-4d3b-b283-2c7b69c36d7a · outbound

This paper cites an unresolved cited work.

Bounds on the $\alpha$-distance spectrum of graphs Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:10:09.360515Z

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=2026-08-14T14:10:09.170942Z digest=sha256:6d086ca20981dc0f651b2a94ca0e356a6d1ffe02164b16f2282dfb417375b87a

Pith citing papers

No inbound Pith citation observations are available.