Pith Number

pith:S5RWZXDN

pith:2012:S5RWZXDNL4WPL6VPFFXPYDI5ZD

not attested not anchored not stored refs pending

The computation of overlap coincidence in Taylor-Socolar substitution tiling

Jeong-Yup Lee, Shigeki Akiyama

arxiv:1212.4209 v1 · 2012-12-18 · math.MG · 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{S5RWZXDNL4WPL6VPFFXPYDI5ZD}

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	2026-05-18T03:38:13.543794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97636cdc6d5f2cf5faaf296efc0d1dc8f2cfc3690c5cbf0677d374a95568413b

Aliases

arxiv: 1212.4209 · arxiv_version: 1212.4209v1 · doi: 10.48550/arxiv.1212.4209 · pith_short_12: S5RWZXDNL4WP · pith_short_16: S5RWZXDNL4WPL6VP · pith_short_8: S5RWZXDN

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/S5RWZXDNL4WPL6VPFFXPYDI5ZD \
  | 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: 97636cdc6d5f2cf5faaf296efc0d1dc8f2cfc3690c5cbf0677d374a95568413b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "820372129fdc8dc7a2a6f657e2e805d7789e6e67fcb0578afbaf82fcbcce719c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-12-18T01:33:58Z",
    "title_canon_sha256": "b6a05d1b19abeac296939ec07cf2c9cd2713d8bb8ea524d5b27bea947a6bf55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4209",
    "kind": "arxiv",
    "version": 1
  }
}