Pith Number

pith:Y2IM3WML

pith:2009:Y2IM3WMLV4IFVJO4U3GP6F7RPF

not attested not anchored not stored refs pending

Examples of non-commutative Hodge structures

Claude Sabbah, Claus Hertling

arxiv:0912.2754 v2 · 2009-12-14 · 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{Y2IM3WMLV4IFVJO4U3GP6F7RPF}

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	2026-05-18T04:17:25.187774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c690cdd98baf105aa5dca6ccff17f1794394677166c77e6fdbda9a6ca8659753

Aliases

arxiv: 0912.2754 · arxiv_version: 0912.2754v2 · doi: 10.48550/arxiv.0912.2754 · pith_short_12: Y2IM3WMLV4IF · pith_short_16: Y2IM3WMLV4IFVJO4 · pith_short_8: Y2IM3WML

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/Y2IM3WMLV4IFVJO4U3GP6F7RPF \
  | 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: c690cdd98baf105aa5dca6ccff17f1794394677166c77e6fdbda9a6ca8659753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c026f74581330dd483b9f27eaf0835448a8933794c3cc0d2364da904d671eec2",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-12-14T21:24:30Z",
    "title_canon_sha256": "cf92ed0a92d6216fad5728b0c39544c55e740ee6879790f93c522c3664aa08f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2754",
    "kind": "arxiv",
    "version": 2
  }
}