Pith Number

pith:FZTIV7KL

pith:2012:FZTIV7KL76TRQPQFWRV2FSLMML

not attested not anchored not stored refs pending

Canonical ordering for graphs on the cylinder, with applications to periodic straight-line drawings on the flat cylinder and torus

Eric Fusy, Luca Castelli Aleardi, Olivier Devillers

arxiv:1206.1919 v3 · 2012-06-09 · 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{FZTIV7KL76TRQPQFWRV2FSLMML}

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	2026-05-18T00:30:09.911302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e668afd4bffa7183e05b46ba2c96c62ee365ca8ab43bbae579fdd53c5b76c4e

Aliases

arxiv: 1206.1919 · arxiv_version: 1206.1919v3 · doi: 10.48550/arxiv.1206.1919 · pith_short_12: FZTIV7KL76TR · pith_short_16: FZTIV7KL76TRQPQF · pith_short_8: FZTIV7KL

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/FZTIV7KL76TRQPQFWRV2FSLMML \
  | 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: 2e668afd4bffa7183e05b46ba2c96c62ee365ca8ab43bbae579fdd53c5b76c4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4cf4bcc35650c5b2c60a34b58c96072a18098092a06ab294b6241e2b9c977b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-09T09:17:35Z",
    "title_canon_sha256": "dc3baa15a449af4bd8af05fbde12dea607ea88f0ec9647e9cc36cd9409ab4bcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1919",
    "kind": "arxiv",
    "version": 3
  }
}