Pith Number

pith:VJSAE35A

pith:2014:VJSAE35A43STQIQFLLPWWFXEU7

not attested not anchored not stored refs pending

$SL_2(\mathbb{Z})$-tilings of the torus, Coxeter-Conway friezes and Farey triangulations

Serge Tabachnikov, Sophie Morier-Genoud, Valentin Ovsienko

arxiv:1402.5536 v2 · 2014-02-22 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VJSAE35A43STQIQFLLPWWFXEU7}

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	2026-05-18T02:54:06.636966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa64026fa0e6e53822055adf6b16e4a7c227bb03b21e31e834e60718c9befd31

Aliases

arxiv: 1402.5536 · arxiv_version: 1402.5536v2 · doi: 10.48550/arxiv.1402.5536 · pith_short_12: VJSAE35A43ST · pith_short_16: VJSAE35A43STQIQF · pith_short_8: VJSAE35A

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/VJSAE35A43STQIQFLLPWWFXEU7 \
  | 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: aa64026fa0e6e53822055adf6b16e4a7c227bb03b21e31e834e60718c9befd31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c30dde234045ac3bc46b0c090d7bac286bf5a78e6bc7bd1b98bfae52c167ef96",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-22T17:40:49Z",
    "title_canon_sha256": "6fc3990f49a1c4b87afea8a74e68367cda8a52108b2d48312f19d8c418afa5b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.5536",
    "kind": "arxiv",
    "version": 2
  }
}