Pith Number

pith:H7NP3ZIJ

pith:2011:H7NP3ZIJNRSI7W2U5YSRPYTXGO

not attested not anchored not stored refs pending

On some fundamental results about higher-rank graphs and their C*-algebras

Aidan Sims, Iain Raeburn, Robert Hazlewood, Samuel B. G. Webster

arxiv:1110.2269 v1 · 2011-10-11 · math.CO · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H7NP3ZIJNRSI7W2U5YSRPYTXGO}

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	2026-05-18T03:08:25.273440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fdafde5096c648fdb54ee2517e27733bce5b7a1c2d2e0c1539a2e81f187bf96

Aliases

arxiv: 1110.2269 · arxiv_version: 1110.2269v1 · doi: 10.48550/arxiv.1110.2269 · pith_short_12: H7NP3ZIJNRSI · pith_short_16: H7NP3ZIJNRSI7W2U · pith_short_8: H7NP3ZIJ

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/H7NP3ZIJNRSI7W2U5YSRPYTXGO \
  | 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: 3fdafde5096c648fdb54ee2517e27733bce5b7a1c2d2e0c1539a2e81f187bf96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74e515abfffa298295b1434f707ab9df6dd48403276f1da2c97a8b2c622af7cc",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-11T04:37:22Z",
    "title_canon_sha256": "c7adc39afd7f2e37fb1f9074bc20d89710545cee049f023064d81bf3a63afb8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2269",
    "kind": "arxiv",
    "version": 1
  }
}