Pith Number

pith:52K56Z2Y

pith:2022:52K56Z2YOPHVCRAY5WO3QRFGPS

not attested not anchored not stored refs pending

Division of primitive Points in an abelian Variety

Francesco Ballini

arxiv:2207.00049 v1 · 2022-06-30 · math.NT · 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{52K56Z2YOPHVCRAY5WO3QRFGPS}

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	2026-07-05T04:36:38.697325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee95df675873cf514418ed9db844a67cabfc29daef6fd5c28a3f83dd3c646814

Aliases

arxiv: 2207.00049 · arxiv_version: 2207.00049v1 · doi: 10.48550/arxiv.2207.00049 · pith_short_12: 52K56Z2YOPHV · pith_short_16: 52K56Z2YOPHVCRAY · pith_short_8: 52K56Z2Y

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/52K56Z2YOPHVCRAY5WO3QRFGPS \
  | 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: ee95df675873cf514418ed9db844a67cabfc29daef6fd5c28a3f83dd3c646814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cd064fc43c123b0e5fdcbca4f5df0333708af7d84ef268535347b29c0a9c5c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2022-06-30T18:31:22Z",
    "title_canon_sha256": "835dee6391f5ad24c314c142ba07ec4bf74e4bc74ec941672419043a242c77d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.00049",
    "kind": "arxiv",
    "version": 1
  }
}