Pith Number

pith:YZCZVWKD

pith:2026:YZCZVWKDYV4KU2PYWBPVY23ALN

not attested not anchored not stored refs pending

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

Johanna M\"uller, Matthias Schmidt

arxiv:2605.26650 v1 · 2026-05-26 · 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{YZCZVWKDYV4KU2PYWBPVY23ALN}

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	2026-05-27T01:06:04.103753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6459ad943c578aa69f8b05f5c6b605b7ae961c6db4e89e42dff050a990feb60

Aliases

arxiv: 2605.26650 · arxiv_version: 2605.26650v1 · doi: 10.48550/arxiv.2605.26650 · pith_short_12: YZCZVWKDYV4K · pith_short_16: YZCZVWKDYV4KU2PY · pith_short_8: YZCZVWKD

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/YZCZVWKDYV4KU2PYWBPVY23ALN \
  | 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: c6459ad943c578aa69f8b05f5c6b605b7ae961c6db4e89e42dff050a990feb60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47e7a369e246db1e261bd521c23770588744d5a674ef5ef8e56b1609bea80cc0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-26T07:32:43Z",
    "title_canon_sha256": "968056385c7fc8231fa4f485bf35182e9a52de2d1ac1b0f8d7e827017fc58027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26650",
    "kind": "arxiv",
    "version": 1
  }
}