Pith Number

pith:GGPOO2MS

pith:2012:GGPOO2MSBW7RH2B6P3YB2EK66H

not attested not anchored not stored refs pending

Analysis on the evolution process of BFW-like model with explosive percolation of multiple giant components

Binghui Guo, Renquan Zhang, Wei Wei, Yang Zhang, Zhiming Zheng

arxiv:1206.2726 v1 · 2012-06-13 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GGPOO2MSBW7RH2B6P3YB2EK66H}

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	2026-05-18T02:31:09.180103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

319ee769920dbf13e83e7ef01d115ef1c2a3ceff8dbd0b6b48d4c1e8b6e9a701

Aliases

arxiv: 1206.2726 · arxiv_version: 1206.2726v1 · doi: 10.48550/arxiv.1206.2726 · pith_short_12: GGPOO2MSBW7R · pith_short_16: GGPOO2MSBW7RH2B6 · pith_short_8: GGPOO2MS

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/GGPOO2MSBW7RH2B6P3YB2EK66H \
  | 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: 319ee769920dbf13e83e7ef01d115ef1c2a3ceff8dbd0b6b48d4c1e8b6e9a701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ab768ba14dcc8694117c7012b1923b27447faf7d7372ec4db37070c1dafce01",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-13T06:32:27Z",
    "title_canon_sha256": "f6085915e52e3de8490ae850f59ebd30cbbe938bd1611c0cf3079fd122554504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2726",
    "kind": "arxiv",
    "version": 1
  }
}