Pith Number

pith:FG5QUQQQ

pith:2000:FG5QUQQQ7CIKLM477FT35ABKKZ

not attested not anchored not stored refs pending

On commuting and non-commuting complexes

Erg\"un Yal\c{c}in, Jonathan Pakianathan

arxiv:math/0005301 v1 · 2000-05-24 · 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{FG5QUQQQ7CIKLM477FT35ABKKZ}

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	2026-05-18T03:26:32.847645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29bb0a4210f890a5b39ff967be802a5673581d908b8b73557c80009544a4e7d8

Aliases

arxiv: math/0005301 · arxiv_version: math/0005301v1 · doi: 10.48550/arxiv.math/0005301 · pith_short_12: FG5QUQQQ7CIK · pith_short_16: FG5QUQQQ7CIKLM47 · pith_short_8: FG5QUQQQ

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/FG5QUQQQ7CIKLM477FT35ABKKZ \
  | 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: 29bb0a4210f890a5b39ff967be802a5673581d908b8b73557c80009544a4e7d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87ae6846f2ad88572e29488b118455b7809610912534134ff3339594c86919d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2000-05-24T00:00:00Z",
    "title_canon_sha256": "96d35441e354843aed8b36116424f0fb997b0b33f43e70b1fab1bea611b4b966"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0005301",
    "kind": "arxiv",
    "version": 1
  }
}