Pith Number

pith:3AXVC2NP

pith:2013:3AXVC2NPEXT5SYBMXKGQU5FADP

not attested not anchored not stored refs pending

Diagonals in 2D-tilings and coincidence densities of substitutions

Michel Dekking

arxiv:1302.3759 v1 · 2013-02-15 · 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{3AXVC2NPEXT5SYBMXKGQU5FADP}

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	2026-05-18T03:33:35.839253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d82f5169af25e7d9602cba8d0a74a01bfb53829937c21736d99dfa539692194a

Aliases

arxiv: 1302.3759 · arxiv_version: 1302.3759v1 · doi: 10.48550/arxiv.1302.3759 · pith_short_12: 3AXVC2NPEXT5 · pith_short_16: 3AXVC2NPEXT5SYBM · pith_short_8: 3AXVC2NP

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/3AXVC2NPEXT5SYBMXKGQU5FADP \
  | 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: d82f5169af25e7d9602cba8d0a74a01bfb53829937c21736d99dfa539692194a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a3d5f93fc7f7da3905f11ab85a144cdd3b6c16c21b92200ab3b6591278d929d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-02-15T14:14:06Z",
    "title_canon_sha256": "91225423e302c557c1a58b5d2adedeb8e7762bc7ba5ba791be7de0b91a94840c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3759",
    "kind": "arxiv",
    "version": 1
  }
}