Pith Number

pith:GX4U22M2

pith:2012:GX4U22M2FAEZAQKHEKMMLMWB4K

not attested not anchored not stored refs pending

Combinatorics and topology of the Robinson tiling

Antoine Julien, Franz G\"ahler, Jean Savinien

arxiv:1203.1387 v1 · 2012-03-07 · math.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GX4U22M2FAEZAQKHEKMMLMWB4K}

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	2026-05-18T04:00:38.808371Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f94d699a28099041472298c5b2c1e2b7fa52ea3dc6f8c231f26fb8cd23e49e

Aliases

arxiv: 1203.1387 · arxiv_version: 1203.1387v1 · doi: 10.48550/arxiv.1203.1387 · pith_short_12: GX4U22M2FAEZ · pith_short_16: GX4U22M2FAEZAQKH · pith_short_8: GX4U22M2

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/GX4U22M2FAEZAQKHEKMMLMWB4K \
  | 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: 35f94d699a28099041472298c5b2c1e2b7fa52ea3dc6f8c231f26fb8cd23e49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50247b4604fa2c639bcab105adb5d354852692c43fc840c8ad8c0860bb2a069d",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-03-07T06:33:39Z",
    "title_canon_sha256": "b48e3b8454f5135e82a0766a34fa161206c7c2f04e5676c5a71033e3af19d52c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1387",
    "kind": "arxiv",
    "version": 1
  }
}