Pith Number

pith:G67W2IXL

pith:2008:G67W2IXLW5CKYITCQ7TSRCVEUK

not attested not anchored not stored refs pending

Elliptic periods for finite fields

Jean-Marc Couveignes, Reynald Lercier

arxiv:0802.0165 v2 · 2008-02-01 · 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{G67W2IXLW5CKYITCQ7TSRCVEUK}

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	2026-05-18T03:56:24.697983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37bf6d22ebb744ac226287e7288aa4a2b4e110e6986ef68ea1f850358fd0bdce

Aliases

arxiv: 0802.0165 · arxiv_version: 0802.0165v2 · doi: 10.48550/arxiv.0802.0165 · pith_short_12: G67W2IXLW5CK · pith_short_16: G67W2IXLW5CKYITC · pith_short_8: G67W2IXL

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/G67W2IXLW5CKYITCQ7TSRCVEUK \
  | 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: 37bf6d22ebb744ac226287e7288aa4a2b4e110e6986ef68ea1f850358fd0bdce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "664068e53572ba685dbc9782240ebf4ce847a4f1bb80aad83c946a3c9a4cbafd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-02-01T17:41:27Z",
    "title_canon_sha256": "37ba0562945295c542c87614094311e555e00fd45efa504e8e425b162351fba7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.0165",
    "kind": "arxiv",
    "version": 2
  }
}