Pith Number

pith:LXYYSZ23

pith:2013:LXYYSZ23NTRP453JE4DWQGTUME

not attested not anchored not stored refs pending

Phase Transitions in the Quadratic Contact Process on Complex Networks

Chris Varghese, Rick Durrett

arxiv:1303.6623 v2 · 2013-03-26 · physics.soc-ph · 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{LXYYSZ23NTRP453JE4DWQGTUME}

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	2026-05-18T03:19:45.468985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5df189675b6ce2fe77692707681a74612127e6a6a717ba1810ea2bf653490194

Aliases

arxiv: 1303.6623 · arxiv_version: 1303.6623v2 · doi: 10.48550/arxiv.1303.6623 · pith_short_12: LXYYSZ23NTRP · pith_short_16: LXYYSZ23NTRP453J · pith_short_8: LXYYSZ23

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/LXYYSZ23NTRP453JE4DWQGTUME \
  | 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: 5df189675b6ce2fe77692707681a74612127e6a6a717ba1810ea2bf653490194

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "037ae67ea94958f4c705f06cb3539b3f6deec5666d5ee354f0b9b0f36c73c368",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-03-26T19:52:44Z",
    "title_canon_sha256": "87e0967af39dbbf3b859f75dddd54c24ebe03ee8978d4262c81e06a33dca0f04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6623",
    "kind": "arxiv",
    "version": 2
  }
}