Pith Number

pith:IC66LXCO

pith:2015:IC66LXCOWGT6DNP63XEY3RTPJG

not attested not anchored not stored refs pending

What is Aperiodic Order?

David Damanik, Michael Baake, Uwe Grimm

arxiv:1512.05104 v1 · 2015-12-16 · math.HO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IC66LXCOWGT6DNP63XEY3RTPJG}

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	2026-05-18T01:12:16.951834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40bde5dc4eb1a7e1b5feddc98dc66f49959ea1bb7350797986479de339bdbb01

Aliases

arxiv: 1512.05104 · arxiv_version: 1512.05104v1 · doi: 10.48550/arxiv.1512.05104 · pith_short_12: IC66LXCOWGT6 · pith_short_16: IC66LXCOWGT6DNP6 · pith_short_8: IC66LXCO

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/IC66LXCOWGT6DNP63XEY3RTPJG \
  | 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: 40bde5dc4eb1a7e1b5feddc98dc66f49959ea1bb7350797986479de339bdbb01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f755cb077e32449f03912ceb311a9dd4b75a08e22988db770bc86a351039e676",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2015-12-16T09:50:46Z",
    "title_canon_sha256": "2df6056fb5ab685ba60080cd5c36a9bd38d98f36d5041912362930ca1d52e214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05104",
    "kind": "arxiv",
    "version": 1
  }
}