Pith Number

pith:7ZWI5O66

pith:2015:7ZWI5O66OK35DKCZVPPEIUWTT6

not attested not anchored not stored refs pending

Torsion points on theta divisors

Gian Pietro Pirola, Giuseppe Pareschi, Riccardo Salvati Manni, Robert Auffarth

arxiv:1512.09296 v4 · 2015-12-31 · 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{7ZWI5O66OK35DKCZVPPEIUWTT6}

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	2026-05-18T00:41:23.284247Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe6c8ebbde72b7d1a859abde4452d39fb23f5a542b0f9a3013b138bdeb4e7562

Aliases

arxiv: 1512.09296 · arxiv_version: 1512.09296v4 · doi: 10.48550/arxiv.1512.09296 · pith_short_12: 7ZWI5O66OK35 · pith_short_16: 7ZWI5O66OK35DKCZ · pith_short_8: 7ZWI5O66

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/7ZWI5O66OK35DKCZVPPEIUWTT6 \
  | 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: fe6c8ebbde72b7d1a859abde4452d39fb23f5a542b0f9a3013b138bdeb4e7562

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d6e4353e98b69866d155e76ce1b8d8d9d40e6f5ad210cc4b85cbc939aeee9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-31T14:34:59Z",
    "title_canon_sha256": "9e66f0b375e5df72fff923f1b47834afbec5a687d066ddf1eff55f71faa48ebb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09296",
    "kind": "arxiv",
    "version": 4
  }
}