Pith Number

pith:YFQF2SRX

pith:2010:YFQF2SRXDWZNL44Y5IG4HLI5Z3

not attested not anchored not stored refs pending

Rapid convergence to frequency for Substitution Tilings of the Plane

D. Coronel, J. Aliste-Prieto, J.-M. Gambaudo

arxiv:1007.3014 v2 · 2010-07-18 · math-ph · math.DS · 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{YFQF2SRXDWZNL44Y5IG4HLI5Z3}

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	2026-05-18T02:06:20.866798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1605d4a371db2d5f398ea0dc3ad1dcef5b164f7437a09b170b912e8facae0d0

Aliases

arxiv: 1007.3014 · arxiv_version: 1007.3014v2 · doi: 10.48550/arxiv.1007.3014 · pith_short_12: YFQF2SRXDWZN · pith_short_16: YFQF2SRXDWZNL44Y · pith_short_8: YFQF2SRX

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/YFQF2SRXDWZNL44Y5IG4HLI5Z3 \
  | 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: c1605d4a371db2d5f398ea0dc3ad1dcef5b164f7437a09b170b912e8facae0d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b371066e506a25506a6cc2c51a920acdbcb7c7982eafc57e02c5ac139ce0d69",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-07-18T15:48:46Z",
    "title_canon_sha256": "a5f9d5d7c35f929fab2be6aa71be3b4ce3bcb858035d597b55ae277d44d0af57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3014",
    "kind": "arxiv",
    "version": 2
  }
}