Pith Number

pith:R6JFBEHG

pith:2013:R6JFBEHGNXRZTLQDUITNFXVGI6

not attested not anchored not stored refs pending

Twisted C*-algebras associated to finitely aligned higher-rank graphs

Aidan Sims, Benjamin Whitehead, Michael F. Whittaker

arxiv:1310.7656 v2 · 2013-10-29 · 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{R6JFBEHGNXRZTLQDUITNFXVGI6}

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	2026-05-18T02:45:48.635381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f925090e66de399ae03a226d2dea647a04b20036f1bbaef1769a9588f405cd9

Aliases

arxiv: 1310.7656 · arxiv_version: 1310.7656v2 · doi: 10.48550/arxiv.1310.7656 · pith_short_12: R6JFBEHGNXRZ · pith_short_16: R6JFBEHGNXRZTLQD · pith_short_8: R6JFBEHG

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/R6JFBEHGNXRZTLQDUITNFXVGI6 \
  | 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: 8f925090e66de399ae03a226d2dea647a04b20036f1bbaef1769a9588f405cd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ee9280bb061a41672900e45981b2d46e7b51d0b8d636848ebde881a4585fd68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-29T01:08:47Z",
    "title_canon_sha256": "10ca963a90e4aecc40670d4712e64fed15c5ea296f0aec2f163d53f797bff729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7656",
    "kind": "arxiv",
    "version": 2
  }
}