Pith Number

pith:DSZL2R4W

pith:2007:DSZL2R4WVW4QY7WFPMPCVLRX5S

not attested not anchored not stored refs pending

The breakdown of the mean-field description of the Nagaoka phase

Alvaro Ferraz, Evgueny Kochetov, Fabio L. Braghin

arxiv:0712.3431 v2 · 2007-12-20 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DSZL2R4WVW4QY7WFPMPCVLRX5S}

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	2026-05-18T03:24:43.154394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cb2bd4796adb90c7ec57b1e2aae37ecbb5eb4953e00c317826ad22c4dbfcb63

Aliases

arxiv: 0712.3431 · arxiv_version: 0712.3431v2 · doi: 10.48550/arxiv.0712.3431 · pith_short_12: DSZL2R4WVW4Q · pith_short_16: DSZL2R4WVW4QY7WF · pith_short_8: DSZL2R4W

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/DSZL2R4WVW4QY7WFPMPCVLRX5S \
  | 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: 1cb2bd4796adb90c7ec57b1e2aae37ecbb5eb4953e00c317826ad22c4dbfcb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2cfa799c9dd4241dad9181762b6db516fcff1096f56e8da25061399956ff832e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2007-12-20T20:58:07Z",
    "title_canon_sha256": "8f947da873211fc8b40186d02fcc0dab3fa4bb37e2e81e823b4a02eb0633b294"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3431",
    "kind": "arxiv",
    "version": 2
  }
}