Pith Number

pith:K42TZNW7

pith:2012:K42TZNW74SAU2MVHZQLQNR52SF

not attested not anchored not stored refs pending

Simultaneous first and second order percolation transitions in interdependent networks

Amir Bashan, Dong Zhou, Nadav Shnerb, Reuven Cohen, Shlomo Havlin, Yehiel Berezin

arxiv:1211.2330 v3 · 2012-11-10 · cond-mat.stat-mech · physics.soc-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{K42TZNW74SAU2MVHZQLQNR52SF}

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	2026-05-18T02:50:43.276359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57353cb6dfe4814d32a7cc1706c7ba915a9b3a085eded7f44bb18a831d27d1f1

Aliases

arxiv: 1211.2330 · arxiv_version: 1211.2330v3 · doi: 10.48550/arxiv.1211.2330 · pith_short_12: K42TZNW74SAU · pith_short_16: K42TZNW74SAU2MVH · pith_short_8: K42TZNW7

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/K42TZNW74SAU2MVHZQLQNR52SF \
  | 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: 57353cb6dfe4814d32a7cc1706c7ba915a9b3a085eded7f44bb18a831d27d1f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3394ccf1bca2b62bd37ca2118ef0a085834af2a08bd73a116effe1c466273c1d",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-11-10T14:40:35Z",
    "title_canon_sha256": "fd9b388f1b51f13e1e309c094e2cc59ae84d19604c9e25b557baee607e12da96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2330",
    "kind": "arxiv",
    "version": 3
  }
}