Pith Number

pith:K2AQQZ7K

pith:2009:K2AQQZ7KR23JLQYKKJNFY44UZ4

not attested not anchored not stored refs pending

Radial index and Poincar\'e-Hopf index of 1-forms on semi-analytic sets

Nicolas Dutertre (LATP)

arxiv:0903.2137 v1 · 2009-03-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K2AQQZ7KR23JLQYKKJNFY44UZ4}

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	2026-05-18T00:44:03.844802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56810867ea8eb695c30a525a5c7394cf0a9fda624ced46667b288b67a5eefb9c

Aliases

arxiv: 0903.2137 · arxiv_version: 0903.2137v1 · doi: 10.48550/arxiv.0903.2137 · pith_short_12: K2AQQZ7KR23J · pith_short_16: K2AQQZ7KR23JLQYK · pith_short_8: K2AQQZ7K

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/K2AQQZ7KR23JLQYKKJNFY44UZ4 \
  | 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: 56810867ea8eb695c30a525a5c7394cf0a9fda624ced46667b288b67a5eefb9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6902a2f44b0220724b292ed04d59b020eb80b20c6207f434ffdb5cf027c2de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-03-12T10:37:02Z",
    "title_canon_sha256": "2c229f97a18e9de45c2b12629841bc2d9d2b274e2d1eae6d626287737a80970e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2137",
    "kind": "arxiv",
    "version": 1
  }
}