Pith Number

pith:LIWP7D25

pith:2006:LIWP7D25FJUXISNVERWUZDOKSE

not attested not anchored not stored refs pending

Topology of random clique complexes

Matthew Kahle

arxiv:math/0605536 v3 · 2006-05-19 · 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{LIWP7D25FJUXISNVERWUZDOKSE}

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	2026-05-18T04:40:33.020175Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a2cff8f5d2a697449b5246d4c8dca9125035389782404353f5d9f9e3c8df108

Aliases

arxiv: math/0605536 · arxiv_version: math/0605536v3 · doi: 10.48550/arxiv.math/0605536 · pith_short_12: LIWP7D25FJUX · pith_short_16: LIWP7D25FJUXISNV · pith_short_8: LIWP7D25

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/LIWP7D25FJUXISNVERWUZDOKSE \
  | 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: 5a2cff8f5d2a697449b5246d4c8dca9125035389782404353f5d9f9e3c8df108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "214fc191cbf2b92c8156f48a47bb47ee526008614d13309e0d6a2481f11d636a",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2006-05-19T05:23:27Z",
    "title_canon_sha256": "d1b7fadf6712f7d0f694ef18e567a4965a38415ec05bd366da74e6baea15615c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605536",
    "kind": "arxiv",
    "version": 3
  }
}