Pith. sign in

Paper Citation Record · LEDGER

New stable, explicit, first order method to solve the heat conduction equation

As of 17 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.09500.

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

pith.paper-citation-record.v1
1908.09500 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:17:24.555759Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d2ecccd3-b975-4f20-ba13-c02b7028c1eb · outbound

This paper cites The PDEs for real -life problems can rarely be solved analytically.

New stable, explicit, first order method to solve the heat conduction equation The PDEs for real -life problems can rarely be solved analytically

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.852593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.470750Z digest=sha256:e748f39b3b20968bd1360c7484c440886d2aeb5a68f7a4d584faa620fb7ffe76

Observation a30ea34b-3e38-47a9-948d-a747976125f5 · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.837902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.476416Z digest=sha256:f0e2f2f02e4c90f10bc3c5d5d935d622c1f7af2fd416a51b4be9160d666a6b53

Observation 769fb4bc-12d2-4a86-bb92-bfbaf5ec9abc · outbound

This paper cites constant- neighbour method.

New stable, explicit, first order method to solve the heat conduction equation constant- neighbour method

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.822765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.482836Z digest=sha256:9670cf77f1bca04d61ffd1a1a5b4bdc7e2c307bfbdffadf0ea1297e4c57e18be

Observation f4f3e4ec-314b-4446-be2d-5b5bfe482ce1 · outbound

This paper cites The analytical solution of eq.

New stable, explicit, first order method to solve the heat conduction equation The analytical solution of eq

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.808094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.487688Z digest=sha256:18e8987d07cfcfec1660f14703e65334f4986965d4d14365fa133a668db8a9ca

Observation 95a28cf5-f09f-4929-9958-746ca6ef308f · outbound

This paper cites It also implies that the process is easily parallelizable and even vectorizable.

New stable, explicit, first order method to solve the heat conduction equation It also implies that the process is easily parallelizable and even vectorizable

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.793224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.493013Z digest=sha256:8f50dfdbe47b010330ef066a6eb1a93e367c67ba2884a049ea5ef45b55887c59

Observation bbdffa88-5074-4c50-a8fc-a33edd4bf9b8 · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.778527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.497425Z digest=sha256:2757a0bee38247fbb2a7f8f05a906a1ed828ea9624c42d6bdab7718684e118e3

Observation a401354b-5784-4185-8e95-aea1dca78008 · outbound

This paper cites We performed numerical tests on several sys tems, but here we present only two different examples.

New stable, explicit, first order method to solve the heat conduction equation We performed numerical tests on several sys tems, but here we present only two different examples

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.764405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.502989Z digest=sha256:9719ab19568d17d895c7a2a105d23c969f3afda70130528f2a9ad92429bff10e

Observation 95085fda-c437-459c-9347-e01a1498c97b · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.748589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.507999Z digest=sha256:c7e4b9f6ea1e99a3875a12a1b029eeb8ceb8a3880ae72a68e23458e86c7b9036

Observation 125c4e8f-e8e8-404a-86f3-af33e68ad2f9 · outbound

This paper cites constant-neighbour.

New stable, explicit, first order method to solve the heat conduction equation constant-neighbour

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.733306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.513229Z digest=sha256:a2ce21815957ec6e016390c300cbb74ea32e3a637a426699438620f01288dbb1

Observation 951c4e85-b98a-4834-ad48-998d2281bd4b · outbound

This paper cites This method is explicit, unconditionally stable and first order in time.

New stable, explicit, first order method to solve the heat conduction equation This method is explicit, unconditionally stable and first order in time

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.718348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.518567Z digest=sha256:a254dcfd866122a5b47d3ad4a87e0d6a2b849cd143bc0fe59c42eb3520bac1b2

Observation 8c32be8a-125d-4522-9e67-9f00efb591d2 · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.702263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.523957Z digest=sha256:64c95437c296da6d172c5de14e57c388161b503bbace0f8634c4b37ec1d51b40

Observation 9ec5eb29-2ac3-421d-98e6-790cac529cd4 · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.687074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.528670Z digest=sha256:0e2126ae172311cedb33525872b1cca91ff1a7498bfc793c26cb77a511fc4477

Observation a10172af-d517-4145-bc33-35344f0cfd7e · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.669839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.533263Z digest=sha256:34034c78e9bffc7098afba2b5690f5c23b22713cea4a1ed6d6d78b5641449390

Observation 63d6e69f-bc80-4f22-8a28-8307923645be · outbound

This paper cites Hochbruck, M.

New stable, explicit, first order method to solve the heat conduction equation Hochbruck, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.653401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.537935Z digest=sha256:b83db7826a76e1774f3971771595cd04530ddb316f1ff48694ea8b7b6fdf66a5

Observation 2125f3ad-bc7e-4e39-80a0-2bd06605fcb1 · outbound

This paper cites R., McKee, S.

New stable, explicit, first order method to solve the heat conduction equation R., McKee, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.638527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.542397Z digest=sha256:ab6b4deaa44f90b0cf30d028f66e67e26f349f00a5409c1b3d336d8a60035963

Observation 805e9180-c884-4d97-964c-82d50d0ac31f · outbound

This paper cites an unresolved cited work.

New stable, explicit, first order method to solve the heat conduction equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T11:17:24.623185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.546660Z digest=sha256:236d6837eac65e20351ae3bd86add74d2ea74d889bce550bac6668d7a5bbdf45

Observation 1a615730-38e0-47b8-b002-e02b64f10b53 · outbound

This paper cites et al.: Numerical Solution Of Ordinary Differential Equations, Wiley, Chapter 9.3.

New stable, explicit, first order method to solve the heat conduction equation et al.: Numerical Solution Of Ordinary Differential Equations, Wiley, Chapter 9.3

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.608047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.550806Z digest=sha256:49b61bff3e6a017d9c595b33a888d931358d24866bef6f0845d2f5f3b181f10f

Observation f74588fa-b499-43a5-9bf9-a09fb7cdd036 · outbound

This paper cites Constant Neighbour.

New stable, explicit, first order method to solve the heat conduction equation Constant Neighbour

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T11:17:24.590795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-14T11:17:24.555759Z digest=sha256:a561e79e72cceabec10701777727729e3392ac492c054096529a7c64692d9094

Pith citing papers

No inbound Pith citation observations are available.