Pith Number

pith:PQXQOUGD

pith:2011:PQXQOUGDC3WLTJRTZ4F2S3Q4DD

not attested not anchored not stored refs pending

Clique complexes and graph powers

Michal Adamaszek

arxiv:1104.0433 v3 · 2011-04-03 · math.CO · 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{PQXQOUGDC3WLTJRTZ4F2S3Q4DD}

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	2026-05-18T02:22:11.300324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c2f0750c316ecb9a633cf0ba96e1c18cbdd2e4ac407b12368143b03705465ab

Aliases

arxiv: 1104.0433 · arxiv_version: 1104.0433v3 · doi: 10.48550/arxiv.1104.0433 · pith_short_12: PQXQOUGDC3WL · pith_short_16: PQXQOUGDC3WLTJRT · pith_short_8: PQXQOUGD

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/PQXQOUGDC3WLTJRTZ4F2S3Q4DD \
  | 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: 7c2f0750c316ecb9a633cf0ba96e1c18cbdd2e4ac407b12368143b03705465ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7373cdda5e0e42803c1bcf399f6aa243aed84c6cbd5491b90c0e5f56f17ae09c",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-04-03T22:37:23Z",
    "title_canon_sha256": "f7c6d768f6777b563392977b3837d822a4a401ac5d4e99f8ec41a3d1d3b5630e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0433",
    "kind": "arxiv",
    "version": 3
  }
}