Pith Number

pith:SG6W435J

pith:2011:SG6W435JLDMLHONWG2A5CANQAR

not attested not anchored not stored refs pending

Matrix factorizations over projective schemes

Jesse Burke, Mark E. Walker

arxiv:1110.2918 v2 · 2011-10-13 · 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{SG6W435JLDMLHONWG2A5CANQAR}

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	2026-05-18T03:55:56.046687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91bd6e6fa958d8b3b9b63681d101b004783be4e24c7f8dce3f8b64e5114e658d

Aliases

arxiv: 1110.2918 · arxiv_version: 1110.2918v2 · doi: 10.48550/arxiv.1110.2918 · pith_short_12: SG6W435JLDML · pith_short_16: SG6W435JLDMLHONW · pith_short_8: SG6W435J

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/SG6W435JLDMLHONWG2A5CANQAR \
  | 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: 91bd6e6fa958d8b3b9b63681d101b004783be4e24c7f8dce3f8b64e5114e658d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b8f09ef4912d7bb1fd4747db6ed6984a2a2b62d300a8fcca14b479f1b27cc9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-10-13T12:44:52Z",
    "title_canon_sha256": "21b975ec669e1db098add3055cdbf914cb5610cac099c38e7a410bbf8e52ba4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2918",
    "kind": "arxiv",
    "version": 2
  }
}