Pith Number

pith:2K5354XA

pith:2000:2K5354XANTKBKXRPIHZIJUC3YR

not attested not anchored not stored refs pending

Characterizing Volume Forms

Alex Wurm, Cecile DeWitt-Morette, Marcus Berg, Pierre Cartier

arxiv:math-ph/0012009 v1 · 2000-12-06 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2K5354XANTKBKXRPIHZIJUC3YR}

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	2026-05-18T00:57:05.424264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2bbbef2e06cd4155e2f41f284d05bc47b38e37f3e80b92d3bb45ca71668f6af

Aliases

arxiv: math-ph/0012009 · arxiv_version: math-ph/0012009v1 · doi: 10.48550/arxiv.math-ph/0012009 · pith_short_12: 2K5354XANTKB · pith_short_16: 2K5354XANTKBKXRP · pith_short_8: 2K5354XA

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/2K5354XANTKBKXRPIHZIJUC3YR \
  | 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: d2bbbef2e06cd4155e2f41f284d05bc47b38e37f3e80b92d3bb45ca71668f6af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbbef6be272938ed63483a532440e0dcd648917ff2e6f8d1f5c45d46823e5d17",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-12-06T20:37:06Z",
    "title_canon_sha256": "bcaef3129f4d11d688d19cc705d355749735f7a881988c9d3cf3432768772aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0012009",
    "kind": "arxiv",
    "version": 1
  }
}