Pith Number

pith:PTAV2JSH

pith:2011:PTAV2JSHPZ3XUV47RNK3ARREV4

not attested not anchored not stored refs pending

On the structure of Ammann A2 tilings

Alexander Shen, Bruno Durand, Nikolay Vereshchagin

arxiv:1112.2896 v5 · 2011-12-13 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTAV2JSHPZ3XUV47RNK3ARREV4}

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	2026-05-18T00:23:02.370630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cc15d26477e777a579f8b55b04624af31a320f65d29df910f7e595789fc17ce

Aliases

arxiv: 1112.2896 · arxiv_version: 1112.2896v5 · doi: 10.48550/arxiv.1112.2896 · pith_short_12: PTAV2JSHPZ3X · pith_short_16: PTAV2JSHPZ3XUV47 · pith_short_8: PTAV2JSH

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/PTAV2JSHPZ3XUV47RNK3ARREV4 \
  | 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: 7cc15d26477e777a579f8b55b04624af31a320f65d29df910f7e595789fc17ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17a23b18cc2a028aa34733b81e5d8d47c5f635016afee455dc38e9e8ae8cfe15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-13T14:10:28Z",
    "title_canon_sha256": "01ba92f3e3760600a2c55d05c60488e5fcadc45526be4840959036d31575b86e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2896",
    "kind": "arxiv",
    "version": 5
  }
}