Pith Number

pith:PJORZNEI

pith:2014:PJORZNEITW4S4Y7RKNYKVPEGSO

not attested not anchored not stored refs pending

Counting With Irrational Tiles

Igor Pak, Scott Garrabrant

arxiv:1407.8222 v1 · 2014-07-30 · 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{PJORZNEITW4S4Y7RKNYKVPEGSO}

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	2026-05-18T02:46:05.595943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a5d1cb4889db92e63f15370aabc8693ab95de04a6cea8bd937e1615852f9684

Aliases

arxiv: 1407.8222 · arxiv_version: 1407.8222v1 · doi: 10.48550/arxiv.1407.8222 · pith_short_12: PJORZNEITW4S · pith_short_16: PJORZNEITW4S4Y7R · pith_short_8: PJORZNEI

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/PJORZNEITW4S4Y7RKNYKVPEGSO \
  | 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: 7a5d1cb4889db92e63f15370aabc8693ab95de04a6cea8bd937e1615852f9684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "194e3e59bff7881f3250abdad821897e225655b4fe872289fc45f0ef7ad2c71b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-07-30T21:36:29Z",
    "title_canon_sha256": "8e8b87e521f28c4db36445dd72ccbde2eb02383dda87022a46e8da31070a4169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8222",
    "kind": "arxiv",
    "version": 1
  }
}