Pith Number

pith:67CHFZEV

pith:2004:67CHFZEV2W7A2NG74QDJDAQYXO

not attested not anchored not stored refs pending

Variations on Prequantization

Alan Weinstein, Marco Zambon

arxiv:math/0412502 v1 · 2004-12-27 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67CHFZEV2W7A2NG74QDJDAQYXO}

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	2026-07-04T14:49:34.368072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c472e495d5be0d34dfe406918218bbbf81635419384aa64d6adaa4ebcc204f

Aliases

arxiv: math/0412502 · arxiv_version: math/0412502v1 · doi: 10.48550/arxiv.math/0412502 · pith_short_12: 67CHFZEV2W7A · pith_short_16: 67CHFZEV2W7A2NG7 · pith_short_8: 67CHFZEV

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/67CHFZEV2W7A2NG74QDJDAQYXO \
  | 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: f7c472e495d5be0d34dfe406918218bbbf81635419384aa64d6adaa4ebcc204f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cfeab8a6dfec9bf7b83e26a0fc64e7425287f29d669e9a253148ba690b5910c",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-12-27T16:17:24Z",
    "title_canon_sha256": "d0b16b85722b30ce5006a245682def516c7d353ce42b13f8095e230a1f361345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0412502",
    "kind": "arxiv",
    "version": 1
  }
}