Pith Number

pith:WVQKXFXH

pith:2013:WVQKXFXHWZ72N2TIFASC6AN3Q3

not attested not anchored not stored refs pending

Zeros of the partition function and dynamical singularities in spin-glass systems

Kazutaka Takahashi, Tomoyuki Obuchi

arxiv:1309.0076 v1 · 2013-08-31 · 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{WVQKXFXHWZ72N2TIFASC6AN3Q3}

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	2026-05-18T03:04:23.939179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b560ab96e7b67fa6ea6828242f01bb86c86630ef170f0cdf19bcd11dfd70090f

Aliases

arxiv: 1309.0076 · arxiv_version: 1309.0076v1 · doi: 10.48550/arxiv.1309.0076 · pith_short_12: WVQKXFXHWZ72 · pith_short_16: WVQKXFXHWZ72N2TI · pith_short_8: WVQKXFXH

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/WVQKXFXHWZ72N2TIFASC6AN3Q3 \
  | 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: b560ab96e7b67fa6ea6828242f01bb86c86630ef170f0cdf19bcd11dfd70090f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4af382fbfef71da17bb931f532f4fece635e6fe111c6499e8c0e166a07a4377b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2013-08-31T08:43:34Z",
    "title_canon_sha256": "12ef0d6f2b6ad169e9884744f2c3cc0dd0c5dc7cc45fd3d19f30a7c04942bff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0076",
    "kind": "arxiv",
    "version": 1
  }
}