Pith Number

pith:O6IOJMXT

pith:2023:O6IOJMXTDOFDFAYXJGA2BH4W4D

not attested not anchored not stored refs pending

Backbone exponent for two-dimensional percolation

Pierre Nolin, Wei Qian, Xin Sun, Zijie Zhuang

arxiv:2309.05050 v2 · 2023-09-10 · math.PR · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O6IOJMXTDOFDFAYXJGA2BH4W4D}

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.

Cited by

3 papers in Pith

Percolation transition of strongly connected clusters in finite dimensions and on complete graphs

Three-point functions in critical loop models

Exact solution of three-point functions in critical loop models

Receipt and verification

First computed	2026-07-05T07:33:19.636871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7790e4b2f31b8a3283174981a09f96e0dbb79cf6513363caf45e79359f35ff3e

Aliases

arxiv: 2309.05050 · arxiv_version: 2309.05050v2 · doi: 10.48550/arxiv.2309.05050 · pith_short_12: O6IOJMXTDOFD · pith_short_16: O6IOJMXTDOFDFAYX · pith_short_8: O6IOJMXT

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/O6IOJMXTDOFDFAYXJGA2BH4W4D \
  | 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: 7790e4b2f31b8a3283174981a09f96e0dbb79cf6513363caf45e79359f35ff3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b6bf259fbd0a7ed846309f6f8e11745a21717f1b423dcb5c3393c96913edcb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-09-10T14:55:44Z",
    "title_canon_sha256": "61e78bc7e0708b524dc6ff778b4fbaec0554dd35df507df64b558463bb597878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05050",
    "kind": "arxiv",
    "version": 2
  }
}