Pith Number

pith:TXBYRVJN

pith:2013:TXBYRVJNQODGGW62I4Q62EWZDA

not attested not anchored not stored refs pending

K-theory of crossed products of tiling C*-algebras by rotation groups

Charles Starling

arxiv:1310.5549 v1 · 2013-10-21 · math.OA · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TXBYRVJNQODGGW62I4Q62EWZDA}

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	2026-05-18T01:46:56.975572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc388d52d8386635bda4721ed12d91831e3390a6ac535254a1920727ceadeaf

Aliases

arxiv: 1310.5549 · arxiv_version: 1310.5549v1 · doi: 10.48550/arxiv.1310.5549 · pith_short_12: TXBYRVJNQODG · pith_short_16: TXBYRVJNQODGGW62 · pith_short_8: TXBYRVJN

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/TXBYRVJNQODGGW62I4Q62EWZDA \
  | 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: 9dc388d52d8386635bda4721ed12d91831e3390a6ac535254a1920727ceadeaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36e393fe29b027242cce22964fb80b0132e451d32e1110f214678fa510a5e0d",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-10-21T13:59:11Z",
    "title_canon_sha256": "aacfc91d0a59dbfe07a4251ac6dc14cc363dfde24b673098eb9a1b3a7f6911ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5549",
    "kind": "arxiv",
    "version": 1
  }
}