Pith Number

pith:OTCTC7SW

pith:2026:OTCTC7SWOGFAF2ZDHAPXK3UCOL

not attested not anchored not stored refs pending

Percolation on hierarchical lattices

Augusto Teixeira, Caio Alves, Carlos Gustavo Moreira, Rangel Baldasso

arxiv:2606.11503 v1 · 2026-06-09 · 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{OTCTC7SWOGFAF2ZDHAPXK3UCOL}

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	2026-06-11T01:09:52.714188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74c5317e56718a02eb23381f756e8272d10f2596cc44942ce8349096a2d7484c

Aliases

arxiv: 2606.11503 · arxiv_version: 2606.11503v1 · doi: 10.48550/arxiv.2606.11503 · pith_short_12: OTCTC7SWOGFA · pith_short_16: OTCTC7SWOGFAF2ZD · pith_short_8: OTCTC7SW

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/OTCTC7SWOGFAF2ZDHAPXK3UCOL \
  | 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: 74c5317e56718a02eb23381f756e8272d10f2596cc44942ce8349096a2d7484c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebaa3b69bf702eb53cbbe1e261617feb1e4c5327a7953e7b498721da5d00841e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-09T22:52:43Z",
    "title_canon_sha256": "4feb9315dbfc071c16b1350d5ab2396f1a555bc22628f6dbf2f1443d7d382aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11503",
    "kind": "arxiv",
    "version": 1
  }
}