Pith Number

pith:6VFGC6KY

pith:2009:6VFGC6KYEW5FILSEMUVBDFPJ3I

not attested not anchored not stored refs pending

Aperiodicity and cofinality for finitely aligned higher-rank graphs

Aidan Sims, Peter Lewin

arxiv:0905.0735 v1 · 2009-05-06 · 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{6VFGC6KYEW5FILSEMUVBDFPJ3I}

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	2026-05-18T02:13:47.284388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f54a61795825ba542e44652a1195e9da37459521ec6429dddc47e7550d50e626

Aliases

arxiv: 0905.0735 · arxiv_version: 0905.0735v1 · doi: 10.48550/arxiv.0905.0735 · pith_short_12: 6VFGC6KYEW5F · pith_short_16: 6VFGC6KYEW5FILSE · pith_short_8: 6VFGC6KY

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/6VFGC6KYEW5FILSEMUVBDFPJ3I \
  | 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: f54a61795825ba542e44652a1195e9da37459521ec6429dddc47e7550d50e626

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e0beb1567167ab8c4e78bcf1ac1e5b1694e9a8202987763aa0cc1564b756308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-05-06T03:44:50Z",
    "title_canon_sha256": "792a61658823bc3045cfff3adcb522c2a710950f273e02e7ef25ecf00b2a1769"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0735",
    "kind": "arxiv",
    "version": 1
  }
}