Pith Number

pith:OW4SYVLJ

pith:2026:OW4SYVLJFVHYXH26S242WFCMFA

not attested not anchored not stored refs pending

A Unified Critical Scaling Theory for Macroscopic Lightning and Quantum Avalanches: From Three-Dimensional Directed Percolation to Testable Predictions

Zhe Li

arxiv:2605.16368 v1 · 2026-05-10 · cond-mat.stat-mech · physics.ao-ph · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OW4SYVLJFVHYXH26S242WFCMFA}

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	2026-05-20T00:02:18.744250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75b92c55692d4f8b9f5e96b9ab144c282a3370c1f2187ce8ec90a60721084bb0

Aliases

arxiv: 2605.16368 · arxiv_version: 2605.16368v1 · doi: 10.48550/arxiv.2605.16368 · pith_short_12: OW4SYVLJFVHY · pith_short_16: OW4SYVLJFVHYXH26 · pith_short_8: OW4SYVLJ

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/OW4SYVLJFVHYXH26S242WFCMFA \
  | 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: 75b92c55692d4f8b9f5e96b9ab144c282a3370c1f2187ce8ec90a60721084bb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5174e3e7f03292134fbeccbbc502ae53e58c968bc27493f240c91bc4f1ae246a",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.comp-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-10T04:12:50Z",
    "title_canon_sha256": "7404bc63cc472c3068bac6bb65c2c7c4f4e471befcfbe6aab4ca0d55dd915e8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16368",
    "kind": "arxiv",
    "version": 1
  }
}