Pith Number

pith:67DWQPBL

pith:2003:67DWQPBLLSKKGBWXZOR5GSILE7

not attested not anchored not stored refs pending

On the Location of the 1-particle Branch of the Spectrum of the Disordered Stochastic Ising Model

M. Gianfelice, M. Isopi

arxiv:math/0311108 v3 · 2003-11-07 · math.PR · math-ph · 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{67DWQPBLLSKKGBWXZOR5GSILE7}

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	2026-05-18T04:24:44.269679Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c7683c2b5c94a306d7cba3d3490b27e39cc8cdc26112259baa1c5dad6d810c

Aliases

arxiv: math/0311108 · arxiv_version: math/0311108v3 · doi: 10.48550/arxiv.math/0311108 · pith_short_12: 67DWQPBLLSKK · pith_short_16: 67DWQPBLLSKKGBWX · pith_short_8: 67DWQPBL

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/67DWQPBLLSKKGBWXZOR5GSILE7 \
  | 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: f7c7683c2b5c94a306d7cba3d3490b27e39cc8cdc26112259baa1c5dad6d810c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4b9d020c45a5db75f75fbb884c457b6b1d26f4b3a75f5ff8cd815cff82ad947",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2003-11-07T12:01:31Z",
    "title_canon_sha256": "71b8ba2603ed0d2153d9c513433c1c6e2d7b1acce4b8d7e60bfd116bce398e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311108",
    "kind": "arxiv",
    "version": 3
  }
}