Pith Number

pith:KS2374VR

pith:2007:KS2374VR4NFB72QWFEAMSQGNOY

not attested not anchored not stored refs pending

Riemann-Roch theorems and elliptic genus for virtually smooth Schemes

Barbara Fantechi, Lothar G\"ottsche

arxiv:0706.0988 v1 · 2007-06-07 · 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{KS2374VR4NFB72QWFEAMSQGNOY}

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	2026-05-18T02:38:19.473962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54b5bff2b1e34a1fea162900c940cd760ab0ff50585d6ab94764e6ba40ea787f

Aliases

arxiv: 0706.0988 · arxiv_version: 0706.0988v1 · doi: 10.48550/arxiv.0706.0988 · pith_short_12: KS2374VR4NFB · pith_short_16: KS2374VR4NFB72QW · pith_short_8: KS2374VR

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/KS2374VR4NFB72QWFEAMSQGNOY \
  | 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: 54b5bff2b1e34a1fea162900c940cd760ab0ff50585d6ab94764e6ba40ea787f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e534641a546054f2a40289aa696bc11c3c6dee92935522a4f2716349ba10f0d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-06-07T11:59:12Z",
    "title_canon_sha256": "067235778c09d2c9a8dfcd48ea370a33fb9c2330110a50f2c87cf29f80fe96b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.0988",
    "kind": "arxiv",
    "version": 1
  }
}