Pith Number

pith:HIY3QMSA

pith:2010:HIY3QMSANSI43CXWNKUNHFYJJD

not attested not anchored not stored refs pending

C*-algebras of tilings with infinite rotational symmetry

Michael F. Whittaker

arxiv:1010.1991 v1 · 2010-10-11 · 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{HIY3QMSANSI43CXWNKUNHFYJJD}

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	2026-05-18T04:39:29.915463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a31b832406c91cd8af66aa8d3970948fff505054b400b8dc3a536dcb082fded

Aliases

arxiv: 1010.1991 · arxiv_version: 1010.1991v1 · doi: 10.48550/arxiv.1010.1991 · pith_short_12: HIY3QMSANSI4 · pith_short_16: HIY3QMSANSI43CXW · pith_short_8: HIY3QMSA

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/HIY3QMSANSI43CXWNKUNHFYJJD \
  | 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: 3a31b832406c91cd8af66aa8d3970948fff505054b400b8dc3a536dcb082fded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de806a922b1ff70ed443aa3a2bd06d68837cacc7638cc9dfbf23bae5d8f447a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-10-11T04:08:02Z",
    "title_canon_sha256": "7ce2d39c3226b55a4519ddd010b59ca63fab1286a718783dd9b48d3efb0c2a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1991",
    "kind": "arxiv",
    "version": 1
  }
}