Pith Number

pith:G4JTQORA

pith:2013:G4JTQORANTKCDNALQPGDQIFCIB

not attested not anchored not stored refs pending

Frieze patterns as root posets and affine triangulations

Michael Cuntz

arxiv:1307.7986 v2 · 2013-07-30 · 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{G4JTQORANTKCDNALQPGDQIFCIB}

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	2026-05-18T02:49:10.010100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3713383a206cd421b40b83cc3820a2405e51c745efe481edaa13ff9ac0a8a65a

Aliases

arxiv: 1307.7986 · arxiv_version: 1307.7986v2 · doi: 10.48550/arxiv.1307.7986 · pith_short_12: G4JTQORANTKC · pith_short_16: G4JTQORANTKCDNAL · pith_short_8: G4JTQORA

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/G4JTQORANTKCDNALQPGDQIFCIB \
  | 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: 3713383a206cd421b40b83cc3820a2405e51c745efe481edaa13ff9ac0a8a65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477f6ad88ab59c8964d9f535499d2f7965b8b4c627ae84eb4d3e02d8cafc1058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-30T14:05:26Z",
    "title_canon_sha256": "e610f3d3d8bb255741e19e8ee3895bfd34627168c2d89d34bf085541bed59f5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7986",
    "kind": "arxiv",
    "version": 2
  }
}