Pith Number

pith:2HU4MM5I

pith:2010:2HU4MM5IOYNA2LAU4NYIANX3MN

not attested not anchored not stored refs pending

MLD Relations of Pisot Substitution Tilings

Franz G\"ahler

arxiv:1001.2744 v1 · 2010-01-15 · 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{2HU4MM5IOYNA2LAU4NYIANX3MN}

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	2026-05-18T04:02:25.378700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1e9c633a8761a0d2c14e3708036fb634715cd81a6611ba1f5b6e85467577e4b

Aliases

arxiv: 1001.2744 · arxiv_version: 1001.2744v1 · doi: 10.48550/arxiv.1001.2744 · pith_short_12: 2HU4MM5IOYNA · pith_short_16: 2HU4MM5IOYNA2LAU · pith_short_8: 2HU4MM5I

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/2HU4MM5IOYNA2LAU4NYIANX3MN \
  | 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: d1e9c633a8761a0d2c14e3708036fb634715cd81a6611ba1f5b6e85467577e4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b1c4aa351d49d4e269da109076ee0ed99f3e3db4d3ebe7f8e3bea4485516bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-01-15T17:39:59Z",
    "title_canon_sha256": "214b0ccb53c0c8b8934c1b96f64758d28e5f30fff8c529edfcd1fcaa0562ba1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.2744",
    "kind": "arxiv",
    "version": 1
  }
}