Pith Number

pith:CLKI2WYG

pith:2011:CLKI2WYGEBW23TCXGL2DWHDYUY

not attested not anchored not stored refs pending

Tricritical point in heterogeneous k-core percolation

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

arxiv:1106.1565 v2 · 2011-06-08 · cond-mat.dis-nn · 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{CLKI2WYGEBW23TCXGL2DWHDYUY}

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	2026-05-18T03:45:23.290594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d48d5b06206dadcc5732f43b1c78a6227ac34074f3c22eb73875df191a5682

Aliases

arxiv: 1106.1565 · arxiv_version: 1106.1565v2 · doi: 10.48550/arxiv.1106.1565 · pith_short_12: CLKI2WYGEBW2 · pith_short_16: CLKI2WYGEBW23TCX · pith_short_8: CLKI2WYG

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/CLKI2WYGEBW23TCXGL2DWHDYUY \
  | 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: 12d48d5b06206dadcc5732f43b1c78a6227ac34074f3c22eb73875df191a5682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72ecdee5674041bdcbe2dcd6e6bb4fd5626f9e7d94d09e688a073fe26e7b4e14",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2011-06-08T14:11:51Z",
    "title_canon_sha256": "5afbccd57fd8d684d079cd89afe7d11a66e4a0a5a85251acf364973c37c8c4ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1565",
    "kind": "arxiv",
    "version": 2
  }
}