Pith Number

pith:ROXXK6IC

pith:2011:ROXXK6ICIPFQDWB5BNBC6MX22T

not attested not anchored not stored refs pending

Critical groups of simplicial complexes

Art M. Duval, Caroline J. Klivans, Jeremy L. Martin

arxiv:1101.3981 v2 · 2011-01-20 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ROXXK6ICIPFQDWB5BNBC6MX22T}

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	2026-05-18T04:27:47.249152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8baf75790243cb01d83d0b422f32fad4f3e2dc1444bbe76ee094dd65d7774165

Aliases

arxiv: 1101.3981 · arxiv_version: 1101.3981v2 · doi: 10.48550/arxiv.1101.3981 · pith_short_12: ROXXK6ICIPFQ · pith_short_16: ROXXK6ICIPFQDWB5 · pith_short_8: ROXXK6IC

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/ROXXK6ICIPFQDWB5BNBC6MX22T \
  | 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: 8baf75790243cb01d83d0b422f32fad4f3e2dc1444bbe76ee094dd65d7774165

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f41aa110722cf1130807c9a33cee470c049f9025e68c56e003ba292fc43a4e9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-20T18:00:04Z",
    "title_canon_sha256": "49b5cf317a02dc4428f926674e38b4ef376b315513782aea0ce567e65e812123"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3981",
    "kind": "arxiv",
    "version": 2
  }
}