Pith Number

pith:UDHLS4YS

pith:2005:UDHLS4YSVNV7MEKJ6FQIHDCZXK

not attested not anchored not stored refs pending

Spectral Gap and Exponential Decay of Correlations

Matthew B. Hastings, Tohru Koma

arxiv:math-ph/0507008 v3 · 2005-07-04 · math-ph · cond-mat.stat-mech · hep-th · 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{UDHLS4YSVNV7MEKJ6FQIHDCZXK}

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.

Cited by

4 papers in Pith

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model

Static features from mixing in short- and long-range Lindbladians: Markov property and correlations

Conditional Independence of 1D Gibbs States with Applications to Efficient Learning

Photonic Exceptional Points in Holography and QCD

Receipt and verification

First computed	2026-07-04T16:56:35.956271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ceb97312ab6bf61149f160838c59baa02906122f81221b5609ffa2b945da3f

Aliases

arxiv: math-ph/0507008 · arxiv_version: math-ph/0507008v3 · doi: 10.48550/arxiv.math-ph/0507008 · pith_short_12: UDHLS4YSVNV7 · pith_short_16: UDHLS4YSVNV7MEKJ · pith_short_8: UDHLS4YS

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/UDHLS4YSVNV7MEKJ6FQIHDCZXK \
  | 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: a0ceb97312ab6bf61149f160838c59baa02906122f81221b5609ffa2b945da3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34bf70b1536479ea80ebc6a5ded065e5b13096434a7dba996f243563408da8bf",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-07-04T06:53:10Z",
    "title_canon_sha256": "0450f3fdb7a771120c00d42392b01e9a163d7e484d030f17feb81328bb33a75e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0507008",
    "kind": "arxiv",
    "version": 3
  }
}