Pith Number

pith:23GIB5FR

pith:2011:23GIB5FRH2YNJWPPZFP76TPENI

not attested not anchored not stored refs pending

Diviseurs de la forme 2D-G sans sections et rang de la multiplication dans les corps finis (Divisors of the form 2D-G without sections and bilinear complexity of multiplication in finite fields)

Hugues Randriam

arxiv:1103.4335 v2 · 2011-03-22 · math.AG · cs.CC · cs.IT · math.IT · 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{23GIB5FRH2YNJWPPZFP76TPENI}

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	2026-05-18T04:26:01.253614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6cc80f4b13eb0d4d9efc95fff4de46a15b76b1c8ff77f0bd9c37d2bb0534c02

Aliases

arxiv: 1103.4335 · arxiv_version: 1103.4335v2 · doi: 10.48550/arxiv.1103.4335 · pith_short_12: 23GIB5FRH2YN · pith_short_16: 23GIB5FRH2YNJWPP · pith_short_8: 23GIB5FR

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/23GIB5FRH2YNJWPPZFP76TPENI \
  | 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: d6cc80f4b13eb0d4d9efc95fff4de46a15b76b1c8ff77f0bd9c37d2bb0534c02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10599a99d8d77bbcb99dbbda1c10c8206218c400fe24cf10396ba6a254974312",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.IT",
      "math.IT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-22T18:14:24Z",
    "title_canon_sha256": "2a4190811ee5257944b7eab987f79927ba811535f9fde1d27e6790e87e499893"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4335",
    "kind": "arxiv",
    "version": 2
  }
}