Pith Number

pith:75N25Y73

pith:2002:75N25Y73HNXQ2W5LR2ML47D2N7

not attested not anchored not stored refs pending

Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)

Antoine Douai, Claude Sabbah

arxiv:math/0211352 v2 · 2002-11-22 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75N25Y73HNXQ2W5LR2ML47D2N7}

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	2026-05-18T04:32:09.933799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5baee3fb3b6f0d5bab8e98be7c7a6fc1419d3c9bab99a10b1d4e257c792386

Aliases

arxiv: math/0211352 · arxiv_version: math/0211352v2 · doi: 10.48550/arxiv.math/0211352 · pith_short_12: 75N25Y73HNXQ · pith_short_16: 75N25Y73HNXQ2W5L · pith_short_8: 75N25Y73

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/75N25Y73HNXQ2W5LR2ML47D2N7 \
  | 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: ff5baee3fb3b6f0d5bab8e98be7c7a6fc1419d3c9bab99a10b1d4e257c792386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12e3e1c40618b9dc6e628b4457fc8ff2fb8f6f4b8eb6708084fac9e21e423c2f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2002-11-22T10:53:10Z",
    "title_canon_sha256": "d07b70efc590cd399cfda35c6362d53939be9782b2c0db6bae7525dbca27942a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0211352",
    "kind": "arxiv",
    "version": 2
  }
}