Pith Number

pith:65TQNUBY

pith:2007:65TQNUBYJUIJR6GVDWPCPI3ER2

not attested not anchored not stored refs pending

Percolation in the Sherrington-Kirkpatrick Spin Glass

C.M. Newman, D.L. Stein, J. Machta

arxiv:0710.1399 v2 · 2007-10-08 · cond-mat.dis-nn · cond-mat.stat-mech · 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{65TQNUBYJUIJR6GVDWPCPI3ER2}

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	2026-05-18T04:09:14.180529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f76706d0384d1098f8d51d9e27a3648e9ab16f5984af4aee55d69a26f4768a07

Aliases

arxiv: 0710.1399 · arxiv_version: 0710.1399v2 · doi: 10.48550/arxiv.0710.1399 · pith_short_12: 65TQNUBYJUIJ · pith_short_16: 65TQNUBYJUIJR6GV · pith_short_8: 65TQNUBY

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/65TQNUBYJUIJR6GVDWPCPI3ER2 \
  | 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: f76706d0384d1098f8d51d9e27a3648e9ab16f5984af4aee55d69a26f4768a07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8a2ca0ecf0d724accd55350da2f406f4d29c1d3e00569d33ced250350cf5fa",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cond-mat.dis-nn",
    "submitted_at": "2007-10-08T19:53:04Z",
    "title_canon_sha256": "fedec8916ad63288448bc9309f6014050da052e481f7bf7c30ad37264c52193b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.1399",
    "kind": "arxiv",
    "version": 2
  }
}