Pith Number

pith:L5LYRB43

pith:2012:L5LYRB43GMA2MRN23Z4RIXOJSD

not attested not anchored not stored refs pending

Hexagonal inflation tilings and planar monotiles

Franz G\"ahler (Bielefeld), Michael Baake (Bielefeld), Uwe Grimm (Milton Keynes)

arxiv:1210.3967 v1 · 2012-10-15 · math.DS · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L5LYRB43GMA2MRN23Z4RIXOJSD}

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	2026-05-18T03:42:43.817173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f5788879b3301a645bade79145dc990d6bd2977bdfde638599c3f53dbef4ad2

Aliases

arxiv: 1210.3967 · arxiv_version: 1210.3967v1 · doi: 10.48550/arxiv.1210.3967 · pith_short_12: L5LYRB43GMA2 · pith_short_16: L5LYRB43GMA2MRN2 · pith_short_8: L5LYRB43

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/L5LYRB43GMA2MRN23Z4RIXOJSD \
  | 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: 5f5788879b3301a645bade79145dc990d6bd2977bdfde638599c3f53dbef4ad2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82754aafe5bd5d7c8a4a0b324391bb5e6c04af482ee537233d74493ffe84b38e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-15T10:14:03Z",
    "title_canon_sha256": "4dc5e920d5d215b6b471fadf5956b719063a648aa4b64f666841ee9fb3c220cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3967",
    "kind": "arxiv",
    "version": 1
  }
}