Pith Number

pith:NYUFR3PK

pith:2026:NYUFR3PKQ26GOJVUMWR2TDN73E

not attested not anchored not stored refs pending

From Kreweras walks to branching perimeter processes of percolated triangulations

Emmanuel Kammerer, Frederik Ravn Klausen, Renan Gross

arxiv:2607.28566 v1 · 2026-07-30 · math.CO · math-ph · 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{NYUFR3PKQ26GOJVUMWR2TDN73E}

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	2026-07-31T01:38:34.113838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

6e2858edea86bc6726b465a3a98dbfd91c577dd80812be19b7cd55d2b1480920

Aliases

arxiv: 2607.28566 · arxiv_version: 2607.28566v1 · doi: 10.48550/arxiv.2607.28566 · pith_short_12: NYUFR3PKQ26G · pith_short_16: NYUFR3PKQ26GOJVU · pith_short_8: NYUFR3PK

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/NYUFR3PKQ26GOJVUMWR2TDN73E \
  | 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: 6e2858edea86bc6726b465a3a98dbfd91c577dd80812be19b7cd55d2b1480920

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29a2611f5a8da87883e221f3fcf1ceba2f3ef15fe6bb5c6e1582a556212b55f6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-07-30T17:32:25Z",
    "title_canon_sha256": "b6fdca8369e660e30bebe9606724aca7da123f6895eb85970b5a9c1775789d74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.28566",
    "kind": "arxiv",
    "version": 1
  }
}