Pith Number

pith:A2DRQT3C

pith:2012:A2DRQT3CQBHZOJ6KT4S5KFSXZA

not attested not anchored not stored refs pending

Factoring bivariate lacunary polynomials without heights

Arkadev Chattopadhyay, Bruno Grenet, Natacha Portier, Pascal Koiran, Yann Strozecki

arxiv:1206.4224 v3 · 2012-06-19 · cs.CC · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A2DRQT3CQBHZOJ6KT4S5KFSXZA}

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	2026-05-18T03:19:35.289483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0687184f62804f9727ca9f25d51657c82af0390bf9ea5dd8820a97ea1886089d

Aliases

arxiv: 1206.4224 · arxiv_version: 1206.4224v3 · doi: 10.48550/arxiv.1206.4224 · pith_short_12: A2DRQT3CQBHZ · pith_short_16: A2DRQT3CQBHZOJ6K · pith_short_8: A2DRQT3C

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/A2DRQT3CQBHZOJ6KT4S5KFSXZA \
  | 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: 0687184f62804f9727ca9f25d51657c82af0390bf9ea5dd8820a97ea1886089d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3156c07daa67bf80c9ae72023c16364466f1c136b19f725bcee26e69430f0c40",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-06-19T14:30:37Z",
    "title_canon_sha256": "ece03a29cf7a2b156c0aa48299dad9f2eac1f52905ca46fa8e3b0cb67245bf86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4224",
    "kind": "arxiv",
    "version": 3
  }
}