Pith Number

pith:RFCYY5ZP

pith:2018:RFCYY5ZPJP4SFK5XJFBUUI2RQL

not attested not anchored not stored refs pending

Algorithmic Pirogov-Sinai theory

Guus Regts, Tyler Helmuth, Will Perkins

arxiv:1806.11548 v4 · 2018-06-29 · cs.DS · math-ph · math.CO · math.MP · 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{RFCYY5ZPJP4SFK5XJFBUUI2RQL}

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	2026-07-05T06:21:11.342781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89458c772f4bf922abb749434a235182d70c1daa11c2105c37e2155318fe149d

Aliases

arxiv: 1806.11548 · arxiv_version: 1806.11548v4 · doi: 10.48550/arxiv.1806.11548 · pith_short_12: RFCYY5ZPJP4S · pith_short_16: RFCYY5ZPJP4SFK5X · pith_short_8: RFCYY5ZP

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/RFCYY5ZPJP4SFK5XJFBUUI2RQL \
  | 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: 89458c772f4bf922abb749434a235182d70c1daa11c2105c37e2155318fe149d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0685f567d3096ace40e765e1f6831c1568c92cb681bcef91bc4be412bf87d884",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2018-06-29T17:32:10Z",
    "title_canon_sha256": "d62059fffd2691998ff63e82d9515e34a3230d7d9b7955674e97fc7d5f1cc5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.11548",
    "kind": "arxiv",
    "version": 4
  }
}