Pith Number

pith:AB6IGGPS

pith:2012:AB6IGGPS2VCKJECE3IHFIFRWHS

not attested not anchored not stored refs pending

Continuous Percolation Phase Transitions of Two-dimensional Lattice Networks under a Generalized Achlioptas Process

Jingfang Fan, Liangsheng Li, Maoxin Liu, Xiaosong Chen

arxiv:1203.0141 v1 · 2012-03-01 · 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{AB6IGGPS2VCKJECE3IHFIFRWHS}

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	2026-05-18T04:01:03.039606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

007c8319f2d544a49044da0e5416363cadd2d587a8bd8cb489e176ac27a758a0

Aliases

arxiv: 1203.0141 · arxiv_version: 1203.0141v1 · doi: 10.48550/arxiv.1203.0141 · pith_short_12: AB6IGGPS2VCK · pith_short_16: AB6IGGPS2VCKJECE · pith_short_8: AB6IGGPS

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/AB6IGGPS2VCKJECE3IHFIFRWHS \
  | 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: 007c8319f2d544a49044da0e5416363cadd2d587a8bd8cb489e176ac27a758a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec23fdb1048f5ca87efd5fd2aa3be67aa13f62cd1fa15f700d2182b6a8f24538",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-03-01T10:50:20Z",
    "title_canon_sha256": "41957f8830fd69db68658cfb4bf776370b16b5a9bf816125c6a6bfbdbeb2ca21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0141",
    "kind": "arxiv",
    "version": 1
  }
}