Pith Number

pith:E5JURDFK

pith:2015:E5JURDFKUOEPS7LD5P4BEA6HZF

not attested not anchored not stored refs pending

Right-angled hexagon tilings of the hyperbolic plane

Richard Kenyon

arxiv:1503.05510 v1 · 2015-03-18 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5JURDFKUOEPS7LD5P4BEA6HZF}

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	2026-05-18T02:21:26.213148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2753488caaa388f97d63ebf81203c7c97eb0317900c911cb727d538a14275b77

Aliases

arxiv: 1503.05510 · arxiv_version: 1503.05510v1 · doi: 10.48550/arxiv.1503.05510 · pith_short_12: E5JURDFKUOEP · pith_short_16: E5JURDFKUOEPS7LD · pith_short_8: E5JURDFK

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/E5JURDFKUOEPS7LD5P4BEA6HZF \
  | 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: 2753488caaa388f97d63ebf81203c7c97eb0317900c911cb727d538a14275b77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27e95cfea76390a575189d9f9766b3bce9543b998c73ecc9db00b5d03248a5d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-03-18T17:46:26Z",
    "title_canon_sha256": "627eed31f677ed4848896fa30a320d9e726e8ff6299df660885c126aa131520b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05510",
    "kind": "arxiv",
    "version": 1
  }
}