Pith Number

pith:VSGA4EHX

pith:2019:VSGA4EHX3PCZBL2IOXUKJHLC2H

not attested not anchored not stored refs pending

Solving Partial Differential Equations on Closed Surfaces with Planar Cartesian Grids

J. Thomas Beale

arxiv:1908.01796 v2 · 2019-08-05 · math.NA · cs.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VSGA4EHX3PCZBL2IOXUKJHLC2H}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T00:55:58.339737Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac8c0e10f7dbc590af4875e8a49d62d1eb95240166e393e6c32961594b76342d

Aliases

arxiv: 1908.01796 · arxiv_version: 1908.01796v2 · doi: 10.48550/arxiv.1908.01796 · pith_short_12: VSGA4EHX3PCZ · pith_short_16: VSGA4EHX3PCZBL2I · pith_short_8: VSGA4EHX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VSGA4EHX3PCZBL2IOXUKJHLC2H \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: ac8c0e10f7dbc590af4875e8a49d62d1eb95240166e393e6c32961594b76342d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24084a996951c11a419085adffe9382f5a9d474966f0fcaf255c8cab35c252b9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-05T18:21:24Z",
    "title_canon_sha256": "b1902f8735637ecdcb3c963b75d46abffa957c52fca276bf2ce07453fcafb2f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01796",
    "kind": "arxiv",
    "version": 2
  }
}