Pith Number

pith:7DWWJMYB

pith:2010:7DWWJMYBLZP2A5WS5LNVK6ZKLL

not attested not anchored not stored refs pending

Interdependent networks: Reducing the coupling strength leads to a change from a first to second order percolation transition

Roni Parshani, Sergey V. Buldyrev, Shlomo Havlin

arxiv:1004.3989 v1 · 2010-04-22 · physics.data-an · cond-mat.dis-nn · 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{7DWWJMYBLZP2A5WS5LNVK6ZKLL}

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	2026-05-18T02:07:54.911397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8ed64b3015e5fa076d2eadb557b2a5acdccd49acdb065128b8d76350efa092d

Aliases

arxiv: 1004.3989 · arxiv_version: 1004.3989v1 · doi: 10.48550/arxiv.1004.3989 · pith_short_12: 7DWWJMYBLZP2 · pith_short_16: 7DWWJMYBLZP2A5WS · pith_short_8: 7DWWJMYB

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/7DWWJMYBLZP2A5WS5LNVK6ZKLL \
  | 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: f8ed64b3015e5fa076d2eadb557b2a5acdccd49acdb065128b8d76350efa092d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2450e675a22b13c260bd38cf57c320ef63de19c93d23fd4ae5a8f2a46c005e6c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2010-04-22T19:18:51Z",
    "title_canon_sha256": "6fbc791234254ac8538ebd584e5392aa1b3f4525f412e22a162250cbcc85a60c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3989",
    "kind": "arxiv",
    "version": 1
  }
}