Pith Number

pith:4M4J6OTQ

pith:2015:4M4J6OTQNRRYCULW7OJONYGRVC

not attested not anchored not stored refs pending

Emergence of strongly connected giant components in continuum disk-spin percolation

Fabio Caccioli, Francesco Caravelli, Marco Bardoscia

arxiv:1511.06512 v2 · 2015-11-20 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4M4J6OTQNRRYCULW7OJONYGRVC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:13:16.227768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3389f3a706c63815176fb92e6e0d1a8a8aa786f83d706da5b615fb14c2a1ed2

Aliases

arxiv: 1511.06512 · arxiv_version: 1511.06512v2 · doi: 10.48550/arxiv.1511.06512 · pith_short_12: 4M4J6OTQNRRY · pith_short_16: 4M4J6OTQNRRYCULW · pith_short_8: 4M4J6OTQ

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/4M4J6OTQNRRYCULW7OJONYGRVC \
  | 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: e3389f3a706c63815176fb92e6e0d1a8a8aa786f83d706da5b615fb14c2a1ed2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a0fc9fb4734cd46654d6cc8a5279607f1204101a5978c62f786fea84ee5742e",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-11-20T07:44:58Z",
    "title_canon_sha256": "032d572882f49b852e8522af30731e56a7c315b9d95a2ccd3e81ab3bce4b7486"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.06512",
    "kind": "arxiv",
    "version": 2
  }
}