Pith Number

pith:RAHYOS2Z

pith:2026:RAHYOS2ZMCMDKZWOQ6VCXB3KS2

not attested not anchored not stored refs pending

Quantum statistical functions

Haruki Emori

arxiv:2602.05821 v2 · 2026-02-05 · quant-ph · cond-mat.stat-mech · math-ph · 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{RAHYOS2ZMCMDKZWOQ6VCXB3KS2}

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

3 papers in Pith

Cumulant-based quantum relative R\'enyi functional

Quantum Tilted Loss in Variational Optimization: Theory and Applications

Map-Dependent Quantum Characteristic Functions and CP-Divisibility in Non-Markovian Quantum Dynamics

Receipt and verification

First computed	2026-06-19T16:09:54.488480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

880f874b5960983566ce87aa2b876a96a6c7a714d679181a021cc7bd7429f53e

Aliases

arxiv: 2602.05821 · arxiv_version: 2602.05821v2 · doi: 10.48550/arxiv.2602.05821 · pith_short_12: RAHYOS2ZMCMD · pith_short_16: RAHYOS2ZMCMDKZWO · pith_short_8: RAHYOS2Z

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/RAHYOS2ZMCMDKZWOQ6VCXB3KS2 \
  | 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: 880f874b5960983566ce87aa2b876a96a6c7a714d679181a021cc7bd7429f53e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5229dfc74d99057ef16b046af67558ed4af3480e3eb9088378a5c5fdd5674f43",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-02-05T16:12:50Z",
    "title_canon_sha256": "9263311524b4c2ffe2e527d5e82d819e9ff16172ba109f03bc15b14c3a29f624"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.05821",
    "kind": "arxiv",
    "version": 2
  }
}