Pith Number

pith:6M4WXFRE

pith:2012:6M4WXFREGZGF2OM25DWR4BGMW7

not attested not anchored not stored refs pending

Percolation in the canonical ensemble

Hao Hu, Henk W. J. Bl\"ote, Youjin Deng

arxiv:1210.3463 v2 · 2012-10-12 · cond-mat.stat-mech · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6M4WXFREGZGF2OM25DWR4BGMW7}

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	2026-05-18T03:37:28.830731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3396b9624364c5d399ae8ed1e04ccb7e758fb84fc081cf39cf2767863879de4

Aliases

arxiv: 1210.3463 · arxiv_version: 1210.3463v2 · doi: 10.48550/arxiv.1210.3463 · pith_short_12: 6M4WXFREGZGF · pith_short_16: 6M4WXFREGZGF2OM2 · pith_short_8: 6M4WXFRE

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/6M4WXFREGZGF2OM25DWR4BGMW7 \
  | 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: f3396b9624364c5d399ae8ed1e04ccb7e758fb84fc081cf39cf2767863879de4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be762481f2624e1b41e7eb9e5abd45bc400a76cbe4308be3b416fcfcabfb8bd0",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-10-12T09:59:20Z",
    "title_canon_sha256": "bc83de85fedf5f23029d6b826e0e7e9552e7d0714fa3d679c44f407cde7f7917"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3463",
    "kind": "arxiv",
    "version": 2
  }
}