Pith Number

pith:3EXG4C7M

pith:2005:3EXG4C7MZXZQGDKSBWZQJ46JN2

not attested not anchored not stored refs pending

On the mean-field spherical model

Michael Kastner, Oliver Schnetz

arxiv:cond-mat/0503046 v3 · 2005-03-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3EXG4C7MZXZQGDKSBWZQJ46JN2}

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	2026-07-04T14:49:03.712344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d92e6e0beccdf3030d520db304f3c96ea13c2efa384c696021713121566325b4

Aliases

arxiv: cond-mat/0503046 · arxiv_version: cond-mat/0503046v3 · doi: 10.48550/arxiv.cond-mat/0503046 · pith_short_12: 3EXG4C7MZXZQ · pith_short_16: 3EXG4C7MZXZQGDKS · pith_short_8: 3EXG4C7M

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/3EXG4C7MZXZQGDKSBWZQJ46JN2 \
  | 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: d92e6e0beccdf3030d520db304f3c96ea13c2efa384c696021713121566325b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d55a079b5541daf16a987a5b021eb7aa1232d57939960b2ef78ff9c7bf4580d1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2005-03-02T11:42:15Z",
    "title_canon_sha256": "075d03834504afae007a1a72834b98c647fe8097b1bcd8e04fe95baff7f3e122"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0503046",
    "kind": "arxiv",
    "version": 3
  }
}