Pith Number

pith:ODPY2WJK

pith:2016:ODPY2WJKE2BO6VZRWOS7FJFMJU

not attested not anchored not stored refs pending

Computing cardinalities of Q-curve reductions over finite fields

Benjamin Smith (GRACE, Charlotte Scribot, Fran\c{c}ois Morain (LIX, GRACE), LIX)

arxiv:1605.07749 v3 · 2016-05-25 · 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{ODPY2WJKE2BO6VZRWOS7FJFMJU}

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	2026-05-17T23:53:13.156448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70df8d592a2682ef5731b3a5f2a4ac4d363bb389fecebf63ad142e46faf910cd

Aliases

arxiv: 1605.07749 · arxiv_version: 1605.07749v3 · doi: 10.48550/arxiv.1605.07749 · pith_short_12: ODPY2WJKE2BO · pith_short_16: ODPY2WJKE2BO6VZR · pith_short_8: ODPY2WJK

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/ODPY2WJKE2BO6VZRWOS7FJFMJU \
  | 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: 70df8d592a2682ef5731b3a5f2a4ac4d363bb389fecebf63ad142e46faf910cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67c933c4be5fafd2384e6dbf9c1e71952c3143669f4c0724fbbb971cd45a1d3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-05-25T06:44:31Z",
    "title_canon_sha256": "3e80bcf3c4553cc90cf1e4cebd054624b1ee4bc48b7dc0a4cdcc9dc9239c9b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.07749",
    "kind": "arxiv",
    "version": 3
  }
}