Pith Number

pith:VXD4LYOM

pith:2025:VXD4LYOMWGAJEGL7BTVWWHGEHA

not attested not anchored not stored refs pending

Quantum statistical mechanical gauge invariance

Johanna M\"uller, Matthias Schmidt

arxiv:2509.20494 v2 · 2025-09-24 · quant-ph · cond-mat.soft · 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{VXD4LYOMWGAJEGL7BTVWWHGEHA}

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

1 paper in Pith

Quantum statistical mechanics: Gauge invariance, operator shifting, hyperdensity functionals, and nonequilibrium sum rules

Receipt and verification

First computed	2026-05-26T01:03:15.985979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adc7c5e1ccb18092197f0ceb6b1cc438200d495f4fd368b8bd9b223fbbc7997d

Aliases

arxiv: 2509.20494 · arxiv_version: 2509.20494v2 · doi: 10.48550/arxiv.2509.20494 · pith_short_12: VXD4LYOMWGAJ · pith_short_16: VXD4LYOMWGAJEGL7 · pith_short_8: VXD4LYOM

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/VXD4LYOMWGAJEGL7BTVWWHGEHA \
  | 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: adc7c5e1ccb18092197f0ceb6b1cc438200d495f4fd368b8bd9b223fbbc7997d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a82db947c529f203b5f0ceefde9cd5f3805ea52241e869346f51098fcac46a0",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-09-24T19:10:56Z",
    "title_canon_sha256": "c6413a7ca23ca17840f896890435f92fdc920886b13a2e528b72915bcc4f49ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.20494",
    "kind": "arxiv",
    "version": 2
  }
}