Pith Number

pith:7TLRI24C

pith:2002:7TLRI24CG46LKJAVTGNAMXBV2A

not attested not anchored not stored refs pending

Product structure of heat phase space and branching Brownian motion

Cambridge), Frederic P. Schuller (DAMTP, Pascal Vogt (Bath)

arxiv:math-ph/0209016 v2 · 2002-09-09 · math-ph · hep-th · 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{7TLRI24CG46LKJAVTGNAMXBV2A}

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	2026-07-04T16:35:11.404257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd7146b82373cb52415999a065c35d001bf3f09fde1e9a5b8b95b40bdb860d3

Aliases

arxiv: math-ph/0209016 · arxiv_version: math-ph/0209016v2 · doi: 10.48550/arxiv.math-ph/0209016 · pith_short_12: 7TLRI24CG46L · pith_short_16: 7TLRI24CG46LKJAV · pith_short_8: 7TLRI24C

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/7TLRI24CG46LKJAVTGNAMXBV2A \
  | 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: fcd7146b82373cb52415999a065c35d001bf3f09fde1e9a5b8b95b40bdb860d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f88995bc312bec0872dc104decbd8dfe0bdd01d800a83ce8bf10ccf8aba5a4",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2002-09-09T15:53:26Z",
    "title_canon_sha256": "ce01a2171c357eba104253019405e5ba2f4df6e9a934c814b61e37adc572a3af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0209016",
    "kind": "arxiv",
    "version": 2
  }
}