Pith Number

pith:ZMTKF2P6

pith:2014:ZMTKF2P6W6OGJBDNS6CPFFJLRZ

not attested not anchored not stored refs pending

Quasicrystals, model sets, and automatic sequences

Jean-Paul Allouche, Yves Meyer

arxiv:1401.3725 v1 · 2014-01-15 · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMTKF2P6W6OGJBDNS6CPFFJLRZ}

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	2026-05-18T01:45:25.167114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb26a2e9feb79c64846d9784f2952b8e55f23daacbd814adc9071b9803252039

Aliases

arxiv: 1401.3725 · arxiv_version: 1401.3725v1 · doi: 10.48550/arxiv.1401.3725 · pith_short_12: ZMTKF2P6W6OG · pith_short_16: ZMTKF2P6W6OGJBDN · pith_short_8: ZMTKF2P6

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/ZMTKF2P6W6OGJBDNS6CPFFJLRZ \
  | 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: cb26a2e9feb79c64846d9784f2952b8e55f23daacbd814adc9071b9803252039

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a2f79d46a14c2fb23cbbb812188ae87c6b75431536fd9e863b8b828c7b1e8ae",
    "cross_cats_sorted": [
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-01-15T20:16:00Z",
    "title_canon_sha256": "7cbae01d053345963e71837199638823304d7b032c6e7580fc3104cf1e9d29d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3725",
    "kind": "arxiv",
    "version": 1
  }
}