Pith Number

pith:HTOKH3N2

pith:2011:HTOKH3N26BIV6NUZ7JHL6RCQUK

not attested not anchored not stored refs pending

Homology for higher-rank graphs and twisted C*-algebras

Aidan Sims, Alex Kumjian, David Pask

arxiv:1110.1433 v1 · 2011-10-07 · math.OA · 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{HTOKH3N26BIV6NUZ7JHL6RCQUK}

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	2026-05-18T04:11:30.111566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cdca3edbaf0515f3699fa4ebf4450a2ac317c3ec5b18cf98fffe1cc5242b2ff

Aliases

arxiv: 1110.1433 · arxiv_version: 1110.1433v1 · doi: 10.48550/arxiv.1110.1433 · pith_short_12: HTOKH3N26BIV · pith_short_16: HTOKH3N26BIV6NUZ · pith_short_8: HTOKH3N2

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/HTOKH3N26BIV6NUZ7JHL6RCQUK \
  | 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: 3cdca3edbaf0515f3699fa4ebf4450a2ac317c3ec5b18cf98fffe1cc5242b2ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b30ff5f69989944734420da9f0430f695651f0935614102573989825f9539e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-10-07T05:41:21Z",
    "title_canon_sha256": "7bbab50d0ce7394cb5d184b5415d23b17a92afdbffa5dc0374817ee6a1b88f9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1433",
    "kind": "arxiv",
    "version": 1
  }
}