Pith Number

pith:PFFO4TA7

pith:2023:PFFO4TA7S2JTT2CNMSL57WPRHI

not attested not anchored not stored refs pending

Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Chong Wang, Jian-Hao Zhang, Meng Cheng, Ruochen Ma, Zhen Bi

arxiv:2305.16399 v4 · 2023-05-25 · cond-mat.str-el · cond-mat.mes-hall · math-ph · 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{PFFO4TA7S2JTT2CNMSL57WPRHI}

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

6 papers in Pith

Microscopic universal theory of symmetry-enriched topological quantum spin liquids

Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak

Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond

Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective

Receipt and verification

First computed	2026-07-05T11:07:55.411188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

794aee4c1f969339e84d6497dfd9f13a0d727c30b8315eb0b7cb2e036978a7d0

Aliases

arxiv: 2305.16399 · arxiv_version: 2305.16399v4 · doi: 10.48550/arxiv.2305.16399 · pith_short_12: PFFO4TA7S2JT · pith_short_16: PFFO4TA7S2JTT2CN · pith_short_8: PFFO4TA7

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/PFFO4TA7S2JTT2CNMSL57WPRHI \
  | 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: 794aee4c1f969339e84d6497dfd9f13a0d727c30b8315eb0b7cb2e036978a7d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed017605590bb9bb331ec924aad3b8de87c650ba0eaf535b7dac07974627c99e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2023-05-25T18:04:22Z",
    "title_canon_sha256": "57107ec9598ae2623fe86abcbb938dfd8d74a07e2257de4cbf10c8137ce35b88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.16399",
    "kind": "arxiv",
    "version": 4
  }
}