Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:27:33.542544Z
Paper Citation Record · LEDGER
Murray's law for discrete and continuum models of biological networks
As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:1908.01197.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
21 of 21 outbound references displayed
- verified exact3
- verified fuzzy14
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 79651b35-97c3-4c28-a9e0-4b10dfdb90b8 · outbound
This paper cites an unresolved cited work.
Murray's law for discrete and continuum models of biological networks Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:27:34.055863Z
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.
Observation 5737e283-161d-48d3-bec1-309472bca960 · outbound
This paper cites an unresolved cited work.
Murray's law for discrete and continuum models of biological networks Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:27:34.036896Z
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.
Observation 21d83bca-b24e-481d-8f06-c0a3c6a018f8 · outbound
This paper cites Alston and E.R.
Murray's law for discrete and continuum models of biological networks Alston and E.R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:34.014786Z
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.
Observation a702f429-1b97-48f5-acac-61b8b0e147f4 · outbound
This paper cites A mesoscopic model of biological transportation networks.
Murray's law for discrete and continuum models of biological networks A mesoscopic model of biological transportation networks
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:27:33.715419Z
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.
Observation c72b8234-9410-4bed-9919-fd9dcd72f8ac · outbound
This paper cites Emerson and K.
Murray's law for discrete and continuum models of biological networks Emerson and K
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.995769Z
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.
Observation 5a1e9819-9b25-45e7-ad82-a6c7c8448d4b · outbound
This paper cites Evans: Partial differential equations.
Murray's law for discrete and continuum models of biological networks Evans: Partial differential equations
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.977312Z
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.
Observation ba1521c4-94f5-4295-b77c-ac45427e33a5 · outbound
This paper cites Evans and R.F.
Murray's law for discrete and continuum models of biological networks Evans and R.F
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.958587Z
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.
Observation 8e81016a-bbd0-444d-b870-492ae544b9cd · outbound
This paper cites Haskovec, P.
Murray's law for discrete and continuum models of biological networks Haskovec, P
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.938812Z
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.
Observation 4cdd1219-9d0d-4ede-8bd2-26d467a69b75 · outbound
This paper cites Haskovec, P.
Murray's law for discrete and continuum models of biological networks Haskovec, P
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.918844Z
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.
Observation b127ec66-1480-4854-9b3b-2dc9bacc955a · outbound
This paper cites Hu: Optimization, Adaptation, and Initialization of Biologic al Transport Networks.
Murray's law for discrete and continuum models of biological networks Hu: Optimization, Adaptation, and Initialization of Biologic al Transport Networks
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.896926Z
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.
Observation ea3ec836-e6f7-44c2-80fd-3f8da2d33458 · outbound
This paper cites Hu and D.
Murray's law for discrete and continuum models of biological networks Hu and D
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.879350Z
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.
Observation 25d3654c-4bbe-48c2-acfc-bdaa39c39dd1 · outbound
This paper cites ODE and PDE based modeling of biological transportation networks.
Murray's law for discrete and continuum models of biological networks ODE and PDE based modeling of biological transportation networks
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T15:27:33.679553Z
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.
Observation 9b9354e6-d716-4b4d-8f0b-a3ceb6dae9dc · outbound
This paper cites Haskovec, L.
Murray's law for discrete and continuum models of biological networks Haskovec, L
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.860928Z
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.
Observation df9b584f-9c9e-4084-8b0c-68adda8ce388 · outbound
This paper cites Murray: The Physiological Principle of Minimum Work: I.
Murray's law for discrete and continuum models of biological networks Murray: The Physiological Principle of Minimum Work: I
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:27:33.479834Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 487cbc26-05d2-4a4f-b333-4373feb5a16e · outbound
This paper cites Murray: The Physiological Principle of Minimum Work: II.
Murray's law for discrete and continuum models of biological networks Murray: The Physiological Principle of Minimum Work: II
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-14T15:27:33.627521Z
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.
Observation 2c5bc655-1d35-4d94-9268-fb516ae3ce0c · outbound
This paper cites Razavi, E.
Murray's law for discrete and continuum models of biological networks Razavi, E
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.837143Z
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.
Observation a43a06fd-b757-4908-8ae3-eed28365704a · outbound
This paper cites Rogers: Laminar flow analysis.
Murray's law for discrete and continuum models of biological networks Rogers: Laminar flow analysis
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.805871Z
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.
Observation a2dd298a-7628-4956-b8fc-02ddacde6ef5 · outbound
This paper cites Sherman: On connecting large vessels to small.
Murray's law for discrete and continuum models of biological networks Sherman: On connecting large vessels to small
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T15:27:33.516233Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ca5031b-8fd0-4a77-8807-db4accb43773 · outbound
This paper cites Stephenson, A.
Murray's law for discrete and continuum models of biological networks Stephenson, A
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.778521Z
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.
Observation 133aa6d8-9f88-44f1-95a7-27e57b97c82e · outbound
This paper cites Whitaker: Flow in porous media I: A theoretical derivation of Darcy’s l aw.
Murray's law for discrete and continuum models of biological networks Whitaker: Flow in porous media I: A theoretical derivation of Darcy’s l aw
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.757040Z
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.
Observation c84e7305-9690-45de-a5d3-f7e676ac2d91 · outbound
This paper cites Zheng et al: Bio-inspired Murray materials for mass transfer and activi ty.
Murray's law for discrete and continuum models of biological networks Zheng et al: Bio-inspired Murray materials for mass transfer and activi ty
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:27:33.736519Z
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.
Pith citing papers
No inbound Pith citation observations are available.