Pith Number

pith:5O63XZ6Y

pith:2021:5O63XZ6YNTIW5YKJJMJRCGS3NB

not attested not anchored not stored refs pending

High-dimensional percolation criticality and hints of mean-field-like caging of the random Lorentz gas

Benoit Charbonneau, Patrick Charbonneau, Yi Hu, Zhen Yang

arxiv:2105.04711 v1 · 2021-05-10 · cond-mat.dis-nn · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5O63XZ6YNTIW5YKJJMJRCGS3NB}

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	2026-07-05T03:09:29.994556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebbdbbe7d86cd16ee1494b13111a5b6852fe69bf32b6d7aec6cd3359a7d2d9df

Aliases

arxiv: 2105.04711 · arxiv_version: 2105.04711v1 · doi: 10.48550/arxiv.2105.04711 · pith_short_12: 5O63XZ6YNTIW · pith_short_16: 5O63XZ6YNTIW5YKJ · pith_short_8: 5O63XZ6Y

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/5O63XZ6YNTIW5YKJJMJRCGS3NB \
  | 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: ebbdbbe7d86cd16ee1494b13111a5b6852fe69bf32b6d7aec6cd3359a7d2d9df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b14f28d327329c02aa34ae5e1333b43a0fab1d0190e1be9e57efa233e49bfacd",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2021-05-10T23:49:03Z",
    "title_canon_sha256": "1c830f35880f5625bfed959d959566ac4ff28829b4210ea3ea0d3c2e0e32bcf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04711",
    "kind": "arxiv",
    "version": 1
  }
}