Pith Number

pith:X4RQBCIE

pith:2014:X4RQBCIEIYN3V6TIN3CVHRHVKU

not attested not anchored not stored refs pending

Explosive Percolation: Unusual Transitions of a Simple Model

Kosmas Kosmidis, Michael Maragakis, Nikolaos Bastas, Paraskevas Giazitzidis

arxiv:1405.0388 v1 · 2014-05-02 · 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{X4RQBCIEIYN3V6TIN3CVHRHVKU}

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	2026-05-18T02:28:40.652481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf23008904461bbafa686ec553c4f555038607744284650f55b9d86757900459

Aliases

arxiv: 1405.0388 · arxiv_version: 1405.0388v1 · doi: 10.48550/arxiv.1405.0388 · pith_short_12: X4RQBCIEIYN3 · pith_short_16: X4RQBCIEIYN3V6TI · pith_short_8: X4RQBCIE

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/X4RQBCIEIYN3V6TIN3CVHRHVKU \
  | 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: bf23008904461bbafa686ec553c4f555038607744284650f55b9d86757900459

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1725447db4c78f3b3ef1d7cce09758aae0914c3cdc7f70da2511ff70bc7292fa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2014-05-02T12:03:37Z",
    "title_canon_sha256": "8c027497e923a7a659efba4980d76123c9b70945b97781e9f13c33529ca356ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0388",
    "kind": "arxiv",
    "version": 1
  }
}