Pith Number

pith:BPZLLPJA

pith:2008:BPZLLPJA4PZUPFTUHKNTZAJYMA

not attested not anchored not stored refs pending

Noncommutative Koszul Algebras from Combinatorial Topology

Brad Shelton, Christopher Phan, Thomas Cassidy

arxiv:0811.3450 v1 · 2008-11-21 · math.RA · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPZLLPJA4PZUPFTUHKNTZAJYMA}

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	2026-05-18T04:36:59.542040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bf2b5bd20e3f34796743a9b3c8138601c2e1fea4feed334dc2ef65c0d68c6ed

Aliases

arxiv: 0811.3450 · arxiv_version: 0811.3450v1 · doi: 10.48550/arxiv.0811.3450 · pith_short_12: BPZLLPJA4PZU · pith_short_16: BPZLLPJA4PZUPFTU · pith_short_8: BPZLLPJA

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/BPZLLPJA4PZUPFTUHKNTZAJYMA \
  | 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: 0bf2b5bd20e3f34796743a9b3c8138601c2e1fea4feed334dc2ef65c0d68c6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e671a092b6decf0e8a904fc2592a29f9aa60d7bb3dc6814fe9ba85eb7ee4b68",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-11-21T01:51:10Z",
    "title_canon_sha256": "cee7291926e4df05b5e4d4a50e104b46b63e249d98ec7cfc126761a9812d9984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.3450",
    "kind": "arxiv",
    "version": 1
  }
}