Pith Number

pith:P63WCROB

pith:2011:P63WCROBDT7WWZD3STDHUVRU7V

not attested not anchored not stored refs pending

Are Percolation Transitions always Sharpened by Making Networks Interdependent?

Maya Paczuski, Peter Grassberger, Seung-Woo Son

arxiv:1108.3863 v3 · 2011-08-18 · physics.data-an · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P63WCROBDT7WWZD3STDHUVRU7V}

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	2026-05-18T02:00:50.642050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb76145c11cff6b647b94c67a5634fd437b722a9cb76b312c6b71e17b613ec6

Aliases

arxiv: 1108.3863 · arxiv_version: 1108.3863v3 · doi: 10.48550/arxiv.1108.3863 · pith_short_12: P63WCROBDT7W · pith_short_16: P63WCROBDT7WWZD3 · pith_short_8: P63WCROB

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/P63WCROBDT7WWZD3STDHUVRU7V \
  | 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: 7fb76145c11cff6b647b94c67a5634fd437b722a9cb76b312c6b71e17b613ec6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d7356bb726c67f8499eac6e17e2259ca7fa067eb3d41042404294abf165d79c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2011-08-18T21:49:10Z",
    "title_canon_sha256": "ff18bfd4eff5ff2112ed071d23d2d8e01fe5af9ab522fb3afd6f867559b4ed7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3863",
    "kind": "arxiv",
    "version": 3
  }
}