Pith Number

pith:CAIHBWRE

pith:2012:CAIHBWREVDIVUBEWBQUHFXGZRR

not attested not anchored not stored refs pending

The Ammann-Beenker tilings revisited

Nicolas B\'edaride, Thomas Fernique

arxiv:1208.3545 v1 · 2012-08-17 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAIHBWREVDIVUBEWBQUHFXGZRR}

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	2026-05-18T03:48:34.947008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101070da24a8d15a04960c2872dcd98c6f312d1f4946d505e92f131262f33108

Aliases

arxiv: 1208.3545 · arxiv_version: 1208.3545v1 · doi: 10.48550/arxiv.1208.3545 · pith_short_12: CAIHBWREVDIV · pith_short_16: CAIHBWREVDIVUBEW · pith_short_8: CAIHBWRE

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/CAIHBWREVDIVUBEWBQUHFXGZRR \
  | 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: 101070da24a8d15a04960c2872dcd98c6f312d1f4946d505e92f131262f33108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a8fe7778798fe03a52e260e008010803d38bc6708e1424dd49b1590284942d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-17T06:54:21Z",
    "title_canon_sha256": "9c508aa2fd8313de4fd83e5336ace31606dcf79c8d025fa5e49aaa584d586a44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3545",
    "kind": "arxiv",
    "version": 1
  }
}