Pith Number

pith:UUWVHGZR

pith:2013:UUWVHGZRKBQI2T3HHO7RDUSS6W

not attested not anchored not stored refs pending

Fractal patterns related to dividing coins

Ken Yamamoto

arxiv:1307.0911 v2 · 2013-07-03 · 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{UUWVHGZRKBQI2T3HHO7RDUSS6W}

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	2026-05-18T02:49:46.009633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a52d539b3150608d4f673bbf11d252f58ac0eb0d279ae34fd6c0aae1054a9ded

Aliases

arxiv: 1307.0911 · arxiv_version: 1307.0911v2 · doi: 10.48550/arxiv.1307.0911 · pith_short_12: UUWVHGZRKBQI · pith_short_16: UUWVHGZRKBQI2T3H · pith_short_8: UUWVHGZR

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/UUWVHGZRKBQI2T3HHO7RDUSS6W \
  | 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: a52d539b3150608d4f673bbf11d252f58ac0eb0d279ae34fd6c0aae1054a9ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5dacbe4c8c695dae0e16a78c28f40bb1bfa8ce72b1b945792f25309565ee8a28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-07-03T04:12:27Z",
    "title_canon_sha256": "0a5450aaae2318b672d64f826d1b289575e9739de969b3b7ef45f33774998e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0911",
    "kind": "arxiv",
    "version": 2
  }
}