Pith Number

pith:6YLRIF76

pith:2024:6YLRIF76TFC5P36QMWDXVYFRXV

not attested not anchored not stored refs pending

Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Hao-Ran Zhang, Jian-Hao Zhang, Shuo Yang, Yuchen Guo, Zhen Bi

arxiv:2403.16978 v3 · 2024-03-25 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6YLRIF76TFC5P36QMWDXVYFRXV}

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

2 papers in Pith

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

Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model

Receipt and verification

First computed	2026-07-05T11:05:32.532922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6171417fe9945d7efd065877ae0b1bd758a726397c777afa96c81eb8523e0e5

Aliases

arxiv: 2403.16978 · arxiv_version: 2403.16978v3 · doi: 10.48550/arxiv.2403.16978 · pith_short_12: 6YLRIF76TFC5 · pith_short_16: 6YLRIF76TFC5P36Q · pith_short_8: 6YLRIF76

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/6YLRIF76TFC5P36QMWDXVYFRXV \
  | 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: f6171417fe9945d7efd065877ae0b1bd758a726397c777afa96c81eb8523e0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0268fc68a63fbbc582e219d674af58fc22945304678d48585d9ed1640309a93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2024-03-25T17:41:27Z",
    "title_canon_sha256": "c069920e99e7e13e14e8ecce26335a80af98ddc7b0862f10f6c20eada45b597c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.16978",
    "kind": "arxiv",
    "version": 3
  }
}