Pith Number

pith:BH4KNMP3

pith:2010:BH4KNMP3X3ANLTKRFOFIUJTMEP

not attested not anchored not stored refs pending

Heterogeneous-k-core versus Bootstrap Percolation on Complex Networks

A. V. Goltsev, G. J. Baxter, J. F. F. Mendes, S. N. Dorogovtsev

arxiv:1012.4336 v1 · 2010-12-20 · cond-mat.stat-mech · math-ph · math.MP · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BH4KNMP3X3ANLTKRFOFIUJTMEP}

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	2026-05-18T04:19:03.234094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09f8a6b1fbbec0d5cd512b8a8a266c23eddd7ddbc01db386983402c2d9630b6f

Aliases

arxiv: 1012.4336 · arxiv_version: 1012.4336v1 · doi: 10.48550/arxiv.1012.4336 · pith_short_12: BH4KNMP3X3AN · pith_short_16: BH4KNMP3X3ANLTKR · pith_short_8: BH4KNMP3

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/BH4KNMP3X3ANLTKRFOFIUJTMEP \
  | 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: 09f8a6b1fbbec0d5cd512b8a8a266c23eddd7ddbc01db386983402c2d9630b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69531f7364eb1001c474e99f7fb123e96529ebd96163e02b06cb0afaeccf2fb2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-20T14:08:43Z",
    "title_canon_sha256": "b85c14bdb23204e6019bafc32a2d50c24ab248d57d90037e1ebe298e6477f6f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4336",
    "kind": "arxiv",
    "version": 1
  }
}