Pith Number

pith:QPF3DQWI

pith:2012:QPF3DQWIF75SOSSDHA5HHEHOL3

not attested not anchored not stored refs pending

Factoring bivariate polynomials using adjoints

Martin Weimann

arxiv:1201.5787 v3 · 2012-01-27 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QPF3DQWIF75SOSSDHA5HHEHOL3}

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	2026-05-18T04:02:03.601956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cbb1c2c82ffb274a43383a7390ee5ed9e1b29fd3dbb36114b9e82f23acdb7e

Aliases

arxiv: 1201.5787 · arxiv_version: 1201.5787v3 · doi: 10.48550/arxiv.1201.5787 · pith_short_12: QPF3DQWIF75S · pith_short_16: QPF3DQWIF75SOSSD · pith_short_8: QPF3DQWI

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/QPF3DQWIF75SOSSDHA5HHEHOL3 \
  | 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: 83cbb1c2c82ffb274a43383a7390ee5ed9e1b29fd3dbb36114b9e82f23acdb7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7eab57480a5a1f95e764ff6520224b7bc1d7a0a0e2b20991a8cd646474ca19e8",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-27T14:50:38Z",
    "title_canon_sha256": "fee7d469843f92f995fccf714a8541ab942972154ac30034f1ed2320413270bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5787",
    "kind": "arxiv",
    "version": 3
  }
}