Pith Number

pith:CCBWL7F3

pith:2019:CCBWL7F3OS2ZOPXB5TRSCJ7GMH

not attested not anchored not stored refs pending

Time-changed Dirac-Fokker-Planck equations on the lattice

N. Faustino

arxiv:1908.04661 v2 · 2019-08-13 · math-ph · math.AP · math.FA · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCBWL7F3OS2ZOPXB5TRSCJ7GMH}

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	2026-07-05T01:09:00.356538Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

108365fcbb74b5973ee1ece32127e661c47ecf54ec4a21bdc0507659dc9016c4

Aliases

arxiv: 1908.04661 · arxiv_version: 1908.04661v2 · doi: 10.48550/arxiv.1908.04661 · pith_short_12: CCBWL7F3OS2Z · pith_short_16: CCBWL7F3OS2ZOPXB · pith_short_8: CCBWL7F3

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/CCBWL7F3OS2ZOPXB5TRSCJ7GMH \
  | 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: 108365fcbb74b5973ee1ece32127e661c47ecf54ec4a21bdc0507659dc9016c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a180e98e33d4e2b71d973f9a8c450a60a15156c2c4e1e0d0dfd69e26ae18ff3",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-08-13T14:31:17Z",
    "title_canon_sha256": "4e2b63c259ee0a668602f1bbe32931e55a1151dd71081491bd0313e46070b6e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04661",
    "kind": "arxiv",
    "version": 2
  }
}