Pith Number

pith:BMSNOTBP

pith:2013:BMSNOTBPETRPVIW22DLRIN75AU

not attested not anchored not stored refs pending

Frobenius lifts and point counting for smooth curves

Amnon Besser, Fran\c{c}ois-Renaud Escriva, Rob de Jeu

arxiv:1306.5102 v1 · 2013-06-21 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BMSNOTBPETRPVIW22DLRIN75AU}

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	2026-05-18T03:20:19.732409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b24d74c2f24e2faa2dad0d71437fd051499e0f95b176be3b0fd0994d3ba9517

Aliases

arxiv: 1306.5102 · arxiv_version: 1306.5102v1 · doi: 10.48550/arxiv.1306.5102 · pith_short_12: BMSNOTBPETRP · pith_short_16: BMSNOTBPETRPVIW2 · pith_short_8: BMSNOTBP

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/BMSNOTBPETRPVIW22DLRIN75AU \
  | 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: 0b24d74c2f24e2faa2dad0d71437fd051499e0f95b176be3b0fd0994d3ba9517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94058f219e28881e18ad086d2b3037065c2b28d63cf4ae794ec1bbba78d38fbd",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-21T11:29:26Z",
    "title_canon_sha256": "0d3fb890f697e70f9342487b50d3758ee885ff70a568520521442a9a6f4835e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5102",
    "kind": "arxiv",
    "version": 1
  }
}