Pith Number

pith:ZLV7MANI

pith:2025:ZLV7MANIWB4PSGL2STTQX7FHWV

not attested not anchored not stored refs pending

Mixed state topological order: operator algebraic approach

Yoshiko Ogata

arxiv:2501.02398 v1 · 2025-01-04 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZLV7MANIWB4PSGL2STTQX7FHWV}

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

Measures of Chirality in Mixed-State Topological Phases

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models

Receipt and verification

First computed	2026-07-05T09:57:06.825063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caebf601a8b078f9197a94e70bfca7b5790090f03f41d8e5201774e7fc861af1

Aliases

arxiv: 2501.02398 · arxiv_version: 2501.02398v1 · doi: 10.48550/arxiv.2501.02398 · pith_short_12: ZLV7MANIWB4P · pith_short_16: ZLV7MANIWB4PSGL2 · pith_short_8: ZLV7MANI

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/ZLV7MANIWB4PSGL2STTQX7FHWV \
  | 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: caebf601a8b078f9197a94e70bfca7b5790090f03f41d8e5201774e7fc861af1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f15e0b41fe827f8f38942c3e6819da972373adb60994bf1e3207e58ba29db411",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-04T22:45:00Z",
    "title_canon_sha256": "c973fef26c7b78ca84f9a4598b9a003f926d9226ca1d5230ffd40054b5d7e10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.02398",
    "kind": "arxiv",
    "version": 1
  }
}