Pith Number

pith:7YJZL44H

pith:2012:7YJZL44HRMUJHGXYZFKKWY4A6P

not attested not anchored not stored refs pending

Matrix factorizations in higher codimension

Jesse Burke, Mark E. Walker

arxiv:1205.2552 v1 · 2012-05-11 · math.AC · 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{7YJZL44HRMUJHGXYZFKKWY4A6P}

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	2026-05-18T03:55:48.092822Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1395f3878b28939af8c954ab6380f3e956a99aa3de7c0e13558daf00f60f71

Aliases

arxiv: 1205.2552 · arxiv_version: 1205.2552v1 · doi: 10.48550/arxiv.1205.2552 · pith_short_12: 7YJZL44HRMUJ · pith_short_16: 7YJZL44HRMUJHGXY · pith_short_8: 7YJZL44H

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/7YJZL44HRMUJHGXYZFKKWY4A6P \
  | 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: fe1395f3878b28939af8c954ab6380f3e956a99aa3de7c0e13558daf00f60f71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f425ad92e3d76c4dea4a37ac02642d17b536ba47ffc00b10ab7d1c460fbcf4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-05-11T15:20:23Z",
    "title_canon_sha256": "c342a4cec24cfb658298646a644b3b6e3460568fe30cb65fd019f3d962ead2e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2552",
    "kind": "arxiv",
    "version": 1
  }
}