Pith Number

pith:FMP32NYP

pith:2007:FMP32NYP6I5NXFBGJNKFQLAJRG

not attested not anchored not stored refs pending

Some examples of vector bundles in the base locus of the generalized theta divisor

Montserrat Teixidor i Bigas, Sebastian Casalaina-Martin, Tawanda Gwena

arxiv:0707.2326 v2 · 2007-07-16 · 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{FMP32NYP6I5NXFBGJNKFQLAJRG}

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	2026-05-18T03:51:49.004484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b1fbd370ff23adb94264b54582c0989a9e262a35db31c99ac0f6914a36080e0

Aliases

arxiv: 0707.2326 · arxiv_version: 0707.2326v2 · doi: 10.48550/arxiv.0707.2326 · pith_short_12: FMP32NYP6I5N · pith_short_16: FMP32NYP6I5NXFBG · pith_short_8: FMP32NYP

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/FMP32NYP6I5NXFBGJNKFQLAJRG \
  | 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: 2b1fbd370ff23adb94264b54582c0989a9e262a35db31c99ac0f6914a36080e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1036f423457fce72563242a903fdd390e7d8c3d64b2a83f57dc05d05dc205fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-07-16T14:18:58Z",
    "title_canon_sha256": "c25e139dd56d988aeea486417bd62a5bb2a983ca0b5a2fd6a13197587b9391c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2326",
    "kind": "arxiv",
    "version": 2
  }
}