Pith Number

pith:S3FUKIJZ

pith:2001:S3FUKIJZ7RT5JXNQS6VGBNOJ4C

not attested not anchored not stored refs pending

Examples of mirror partners arising from integrable systems

Michael Thaddeus, Tamas Hausel

arxiv:math/0106140 v2 · 2001-06-15 · math.AG · hep-th · 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{S3FUKIJZ7RT5JXNQS6VGBNOJ4C}

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	2026-05-18T01:38:29.914549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96cb452139fc67d4ddb097aa60b5c9e0aa4a42abd0eef335c5e9ad543cafa462

Aliases

arxiv: math/0106140 · arxiv_version: math/0106140v2 · doi: 10.48550/arxiv.math/0106140 · pith_short_12: S3FUKIJZ7RT5 · pith_short_16: S3FUKIJZ7RT5JXNQ · pith_short_8: S3FUKIJZ

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/S3FUKIJZ7RT5JXNQS6VGBNOJ4C \
  | 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: 96cb452139fc67d4ddb097aa60b5c9e0aa4a42abd0eef335c5e9ad543cafa462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14cf50d13212806f06e56b7afd515950b0ddef0c74d9baf2f93d99e957b0aced",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2001-06-15T21:42:14Z",
    "title_canon_sha256": "a9a8feb3ff396c9df31cad1b83a953dd438ffe79a8fcc70b6802bfafebeb276b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106140",
    "kind": "arxiv",
    "version": 2
  }
}