Pith Number

pith:BNUELLC7

pith:2013:BNUELLC7EQMF5M3Q5XIRVQKJ4K

not attested not anchored not stored refs pending

Augmented Biracks and their Homology

Jose Ceniceros, Matthew Green, Mohamed Elhamdadi, Sam Nelson

arxiv:1309.1678 v1 · 2013-09-06 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BNUELLC7EQMF5M3Q5XIRVQKJ4K}

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	2026-05-18T03:13:58.907755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0b6845ac5f24185eb370edd11ac149e2a088e2fdd2820caa8eec61b81225ba37

Aliases

arxiv: 1309.1678 · arxiv_version: 1309.1678v1 · doi: 10.48550/arxiv.1309.1678 · pith_short_12: BNUELLC7EQMF · pith_short_16: BNUELLC7EQMF5M3Q · pith_short_8: BNUELLC7

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/BNUELLC7EQMF5M3Q5XIRVQKJ4K \
  | 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: 0b6845ac5f24185eb370edd11ac149e2a088e2fdd2820caa8eec61b81225ba37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fe9d7d80ea862d50903af0ff53ebb79387b791ca99df6c432bec963e90be5b1",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-06T15:44:00Z",
    "title_canon_sha256": "8f029c4bef984dfbc7ca021dd7ec8a3d73b4c315cc2802a95a1c84f5fbf96226"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1678",
    "kind": "arxiv",
    "version": 1
  }
}