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Paper Citation Record · LEDGER

Tracking Paths in Planar Graphs

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:1908.05445.

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

pith.paper-citation-record.v1
1908.05445 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:22:53.584690Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

28 of 28 outbound references displayed

  • verified exact8
  • verified fuzzy3
  • unresolved16
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 87a8335a-3b92-40c7-a315-b01211bd2c9e · outbound

This paper cites The Mathematical Theory of Infectious Diseases and its Applications.

Tracking Paths in Planar Graphs The Mathematical Theory of Infectious Diseases and its Applications

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:54.217915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.481459Z digest=sha256:979eebe1428d2758ca6e871aaed417332691af5369ff3021cf43fa47d52af5c4

Observation 5d3acf3b-ed90-42d9-8934-b6ad3257b36a · outbound

This paper cites Fixed-parameter tractable algorithms for tracking set problems.

Tracking Paths in Planar Graphs Fixed-parameter tractable algorithms for tracking set problems

Reference 2

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no resolver link, observed 2026-08-14T13:22:53.485440Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.485440Z digest=sha256:55ded2a72868351482378cfeb12fc774f033f9baaa61236bd288c540a7840a8d

Observation 0fd9bc4a-b0dd-4074-ae8f-b1e8c1fe9b35 · outbound

This paper cites A polynomial sized kernel for tracking paths problem.

Tracking Paths in Planar Graphs A polynomial sized kernel for tracking paths problem

Reference 3

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.740459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.490005Z digest=sha256:4877a021ad93f723eb6449819635322d2c47dc73ef3668300e442d99ad4c98a8

Observation a2be11d0-5a22-4702-bf23-579abc9abca2 · outbound

This paper cites Tracking paths.

Tracking Paths in Planar Graphs Tracking paths

Reference 4

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.730731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.493473Z digest=sha256:1c7d4a729561ad0bbc3e54c5db91183583624766bd345cf21ac31f1979c91715

Observation d38280da-65a1-4fbc-ad0a-71227463ce87 · outbound

This paper cites Nonserial Dynamic Programming.

Tracking Paths in Planar Graphs Nonserial Dynamic Programming

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:54.208102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.499113Z digest=sha256:e67ecdb1e059a1509e7a8a7221580001ab8a6c2f59016af793ffdcb52626ddca

Observation 3a9c06d4-1a24-4722-8d13-6a60dc9ef05e · outbound

This paper cites Survey of target tracking protocols using wireless sensor network.

Tracking Paths in Planar Graphs Survey of target tracking protocols using wireless sensor network

Reference 6

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.720864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.502931Z digest=sha256:0b488b29caa5fdda0a69f2c2a930cad98170be667876c11de02ea84c99021d43

Observation 39514f08-2bd8-4d93-95e4-4781b1bca75a · outbound

This paper cites Tracking routes in communication networks.

Tracking Paths in Planar Graphs Tracking routes in communication networks

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.508291Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.508291Z digest=sha256:71ac33b4dc39a469556b44cc9efbcd057874b03ae0fefe5b780787ae7df335a8

Observation f6d9076f-8b9b-4982-9f87-455ebd30e743 · outbound

This paper cites A linear-time algorithm for finding tree-decompositions of small treewidth.

Tracking Paths in Planar Graphs A linear-time algorithm for finding tree-decompositions of small treewidth

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.511711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.511711Z digest=sha256:83aa911f9b0f7fecb727f4739491f500ad71efd5d29be5cd9235b17a169bcf33

Observation 998a053c-4e6d-4224-a02d-3a5532811d95 · outbound

This paper cites The monadic second-order logic of graphs.

Tracking Paths in Planar Graphs The monadic second-order logic of graphs

Reference 9

Resolution
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no resolver link, observed 2026-08-14T13:22:53.515177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.515177Z digest=sha256:6db1440f8da76d0853c3b7b9ab6d5384c887f19fa68c84b0d3b4095071291016

Observation c66dd81d-3365-4ed9-bb47-d0a719654706 · outbound

This paper cites Automata for the verification of monadic second-order graph properties.

Tracking Paths in Planar Graphs Automata for the verification of monadic second-order graph properties

Reference 10

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.692722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.518770Z digest=sha256:8df0f5d66035eda3862620d424cdc7df28580c8c351fac6a5f42f6983f4d9439

Observation 26662995-8f55-489c-bd8e-646074fa7eed · outbound

This paper cites Computations by fly-automata beyond monadic second-order logic.

Tracking Paths in Planar Graphs Computations by fly-automata beyond monadic second-order logic

Reference 11

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.681855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.522321Z digest=sha256:6e0dc279cd3a7b5c48e0d940fd470f68af6b39e5f5540e0f033248df3e2826ec

Observation 70807ee2-ece2-4527-a3fc-2fd448164c87 · outbound

This paper cites Graph Structure and Monadic Second-Order Logic - A Language-Theoretic Approach , volume 138 of Encyclopedia of mathematics and its applications.

Tracking Paths in Planar Graphs Graph Structure and Monadic Second-Order Logic - A Language-Theoretic Approach , volume 138 of Encyclopedia of mathematics and its applications

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:22:54.196247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.526163Z digest=sha256:0c7d57e9ac55eea331077560d724aa79a23df972602ce0d0136f8bbce01c092e

Observation 37913427-ae54-4ed7-a385-dfca9fcd1f06 · outbound

This paper cites Handle-rewriting hypergraph grammars.

Tracking Paths in Planar Graphs Handle-rewriting hypergraph grammars

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.529532Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.529532Z digest=sha256:cf5efb88bf75bff13f7f6630d686f518bcd28a69e3668e94154dfe92f04f0687

Observation 792ab96b-0b86-4981-8ca6-3e3840af37e1 · outbound

This paper cites Linear time solvable optimization problems on graphs of bounded clique-width.

Tracking Paths in Planar Graphs Linear time solvable optimization problems on graphs of bounded clique-width

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.533223Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.533223Z digest=sha256:01769efc2cff5fb2a29bb5385f0e98a5a6fce3cdd7023eb24c87d6d969ca913f

Observation 2052334c-e325-4d08-b810-5c17e44258fe · outbound

This paper cites Monadic second-order evaluations on tree-decomposable graphs.

Tracking Paths in Planar Graphs Monadic second-order evaluations on tree-decomposable graphs

Reference 15

Resolution
verified exact
doi, observed 2026-08-14T13:22:53.659130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.537694Z digest=sha256:d9aefe04e7d5ad16e721c60fe9fcf9f286a259cf5467ab64bd66a02c269819d8

Observation 5abb02e9-8e42-42b4-8ff3-58fe55be56d7 · outbound

This paper cites Upper bounds to the clique width of graphs.

Tracking Paths in Planar Graphs Upper bounds to the clique width of graphs

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.541612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.541612Z digest=sha256:f969b486bf99f4198c0465d466058a89e4be3a513516c0f84833bd2a99cee5bf

Observation 1bda84a0-7524-47d6-a279-698ce7515a88 · outbound

This paper cites Epidemiology and control of SARS in Singapore.

Tracking Paths in Planar Graphs Epidemiology and control of SARS in Singapore

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-14T13:22:54.186906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.544865Z digest=sha256:33a7d36e46f71a17e4a3772e2454b19b253f9084231275c2ef72ffb5cd9ef641

Observation 84642bff-3c25-476e-a799-942cdc321b66 · outbound

This paper cites Making RooFit Ready for Run 3.

Tracking Paths in Planar Graphs Making RooFit Ready for Run 3

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:22:54.114032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.548254Z digest=sha256:5a2d2b49f061c8aff43bb5cf942ae887e1b236e755d227c46a730299d619aab4

Observation a0a11f90-a83c-4637-ac3e-7f83fe9a0cb2 · outbound

This paper cites S-functions for graphs.

Tracking Paths in Planar Graphs S-functions for graphs

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.552508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.552508Z digest=sha256:1361d6cee48315f8c917fa28892943a91fc140cdf8389de8335bb7acf20d49ee

Observation 6698a807-8315-45fb-afd4-08359f5ee2ef · outbound

This paper cites The problem of compatible representatives.

Tracking Paths in Planar Graphs The problem of compatible representatives

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.556178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.556178Z digest=sha256:0cfa30e4de0ef4a2ec1e4e18ae92f670d4f51eef4b4c237597726e0affeb943b

Observation 38d3119a-b1e2-4b98-92f9-1b94f9e41ffe · outbound

This paper cites Planar formulae and their uses.

Tracking Paths in Planar Graphs Planar formulae and their uses

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.560693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.560693Z digest=sha256:e1a993c70faf36eb5a80e094f52dce1242892fb25e41fc7f10aa116f581ff876

Observation 49752ff5-2ae4-4a4a-b90e-0a235b3bedbf · outbound

This paper cites Epidemics and percolation in small-world networks.

Tracking Paths in Planar Graphs Epidemics and percolation in small-world networks

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.564110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.564110Z digest=sha256:dbae7c2fc5dce413d9cb636598ebfe17e22fea54f63f01842be62879c7c6427c

Observation 12f8bf14-aa1a-4a17-9c04-7a0002e01403 · outbound

This paper cites Spread of epidemic disease on networks.

Tracking Paths in Planar Graphs Spread of epidemic disease on networks

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.567661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.567661Z digest=sha256:a4413ecc0a9dae19f4af7c380d55e9556321c9096ecbc8701a961ac6456f8811

Observation 8036450f-71d9-42f6-8e1b-c17d220a7635 · outbound

This paper cites Approximating rank-width and clique-width quickly.

Tracking Paths in Planar Graphs Approximating rank-width and clique-width quickly

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.571253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.571253Z digest=sha256:25b324319a4049b40626233ecc0ea3563379ab7819894a5fe8d72ee80c89a65d

Observation 5e1b4430-9d7e-47dc-9f5f-30a41e78b3c7 · outbound

This paper cites Survey of network-based defense mechanisms countering the DoS and DDoS problems.

Tracking Paths in Planar Graphs Survey of network-based defense mechanisms countering the DoS and DDoS problems

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.574360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.574360Z digest=sha256:828e0e14eb928544170dc7ee27f33cb237100d0e534536318781b102fc699d2d

Observation 5c821965-d54a-47b3-994e-51c53e1fda88 · outbound

This paper cites an unresolved cited work.

Tracking Paths in Planar Graphs Unresolved cited work

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.577712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.577712Z digest=sha256:4dd32da1df82f48c940a49b32403e473a584c8483b4b0f2c7879e890f3b1abe4

Observation f1366217-24a1-4263-abd8-154d97218e9b · outbound

This paper cites Rumors in a network: Who's the culprit? IEEE Transactions on Information Theory , 57(8):5163--5181, 2011.

Tracking Paths in Planar Graphs Rumors in a network: Who's the culprit? IEEE Transactions on Information Theory , 57(8):5163--5181, 2011

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-14T13:22:53.581211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T13:22:53.581211Z digest=sha256:88c91775e6a40077cdda90e70ef1c2c8a06cf2a8f9a92ef15f3d3ccd95632f67

Observation bf53a43e-dfb6-4d31-b617-afe4b75a1a33 · outbound

This paper cites Hash-based IP traceback.

Tracking Paths in Planar Graphs Hash-based IP traceback

Reference 28

Resolution
metadata mismatch
raw_fallback, observed 2026-08-14T13:22:53.901602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T13:22:53.584690Z digest=sha256:b771f5c992773efb426d057f044188c7cb9e124552efe615128bc4aa4b342cf2

Pith citing papers

No inbound Pith citation observations are available.