Pith Number

pith:WPODW47O

pith:2012:WPODW47OLPLL6NFIYYMIEWVGWO

not attested not anchored not stored refs pending

Critical phenomena in heterogeneous k-core percolation

Aonghus Lawlor, Davide Cellai, James P. Gleeson, Kenneth A. Dawson

arxiv:1209.2928 v3 · 2012-09-13 · cond-mat.dis-nn · 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{WPODW47OLPLL6NFIYYMIEWVGWO}

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	2026-05-18T03:32:58.798485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3dc3b73ee5bd6bf34a8c618825aa6b3abe63a3c5a690d0e0f067a4f1d978bab

Aliases

arxiv: 1209.2928 · arxiv_version: 1209.2928v3 · doi: 10.48550/arxiv.1209.2928 · pith_short_12: WPODW47OLPLL · pith_short_16: WPODW47OLPLL6NFI · pith_short_8: WPODW47O

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/WPODW47OLPLL6NFIYYMIEWVGWO \
  | 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: b3dc3b73ee5bd6bf34a8c618825aa6b3abe63a3c5a690d0e0f067a4f1d978bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08c2fddcb7c45a9d1d1b90006bef1f47e87aac886fc916d537cbfc3e66a8344e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2012-09-13T15:22:56Z",
    "title_canon_sha256": "c5e2d5f3997fab42fc28060d32e58aab5598a73a4009e16a27358ea44d099ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2928",
    "kind": "arxiv",
    "version": 3
  }
}