Pith Number

pith:P2RGQXQ4

pith:2011:P2RGQXQ4T4FJ7U3Q73Y4XM5UMB

not attested not anchored not stored refs pending

Piecewise-Koszul algebras

Diming Lu, Jiafeng Lu, Jiwei He

arxiv:1109.3761 v1 · 2011-09-17 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2RGQXQ4T4FJ7U3Q73Y4XM5UMB}

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	2026-05-18T04:12:45.950615Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ea2685e1c9f0a9fd370fef1cbb3b46042d072d386de94db3dea92fcba9ca91b

Aliases

arxiv: 1109.3761 · arxiv_version: 1109.3761v1 · doi: 10.48550/arxiv.1109.3761 · pith_short_12: P2RGQXQ4T4FJ · pith_short_16: P2RGQXQ4T4FJ7U3Q · pith_short_8: P2RGQXQ4

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/P2RGQXQ4T4FJ7U3Q73Y4XM5UMB \
  | 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: 7ea2685e1c9f0a9fd370fef1cbb3b46042d072d386de94db3dea92fcba9ca91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e4cd874468e8a24170edc9db757fdecd6f9ed1567c05cdd6c162ede7fbca002",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-17T09:19:34Z",
    "title_canon_sha256": "1312e4e6683fe454820973d447aea8e3ee5aa941223aa18711f3d6b0270f7b6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3761",
    "kind": "arxiv",
    "version": 1
  }
}