Pith Number

pith:TJNOPJKL

pith:2011:TJNOPJKLI45DR2E3CJDNWC4KAX

not attested not anchored not stored refs pending

Coordinates for a new triangular tiling of the hyperbolic plane

Maurice Margenstern

arxiv:1101.0530 v1 · 2011-01-03 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TJNOPJKLI45DR2E3CJDNWC4KAX}

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	2026-05-18T04:32:10.235602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a5ae7a54b473a38e89b1246db0b8a05f664368339836ee03af235837716b711

Aliases

arxiv: 1101.0530 · arxiv_version: 1101.0530v1 · doi: 10.48550/arxiv.1101.0530 · pith_short_12: TJNOPJKLI45D · pith_short_16: TJNOPJKLI45DR2E3 · pith_short_8: TJNOPJKL

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/TJNOPJKLI45DR2E3CJDNWC4KAX \
  | 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: 9a5ae7a54b473a38e89b1246db0b8a05f664368339836ee03af235837716b711

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f771f3f51d399ce5fb5c95c97db60dff4b8b30052738530cf8339d69f2cb1566",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2011-01-03T14:39:40Z",
    "title_canon_sha256": "cc8c45741e3d08fc1459ffda85d201f48a88a4d910c0e9e44b0128c30f2e46d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0530",
    "kind": "arxiv",
    "version": 1
  }
}