Pith Number

pith:SYNNCLH2

pith:2015:SYNNCLH2LPJC2M3B66RU2UEOSH

not attested not anchored not stored refs pending

Inverting the Achlioptas rule for explosive percolation

A. V. Goltsev, J. F. F. Mendes, R. A. da Costa, S. N. Dorogovtsev

arxiv:1503.00727 v2 · 2015-03-02 · cond-mat.dis-nn · cond-mat.stat-mech · math-ph · math.MP · 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{SYNNCLH2LPJC2M3B66RU2UEOSH}

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	2026-05-18T02:17:54.139091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

961ad12cfa5bd22d3361f7a34d508e91d1897879c8ba670f4e8585902b00a995

Aliases

arxiv: 1503.00727 · arxiv_version: 1503.00727v2 · doi: 10.48550/arxiv.1503.00727 · pith_short_12: SYNNCLH2LPJC · pith_short_16: SYNNCLH2LPJC2M3B · pith_short_8: SYNNCLH2

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/SYNNCLH2LPJC2M3B66RU2UEOSH \
  | 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: 961ad12cfa5bd22d3361f7a34d508e91d1897879c8ba670f4e8585902b00a995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2422647ccaa18d4da9c4e00864bfaa8ffdbf5b33d14a630739d0f2b32099a35a",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2015-03-02T21:00:13Z",
    "title_canon_sha256": "929ac9c143045d29d64cd85c27e7f43e03d305ee70778970b4014cc6478f06b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00727",
    "kind": "arxiv",
    "version": 2
  }
}