Pith Number

pith:TK64KAOC

pith:2022:TK64KAOC4G7RJD4OOU4JE3FBU4

not attested not anchored not stored refs pending

Symmetry protected topological phases under decoherence

Cenke Xu, Jong Yeon Lee, Yi-Zhuang You

arxiv:2210.16323 v6 · 2022-10-28 · cond-mat.str-el · 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{TK64KAOC4G7RJD4OOU4JE3FBU4}

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

Fast mixing of all-to-all quantum systems at high temperatures

Strong-to-Weak Spontaneous Symmetry Breaking

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

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

Receipt and verification

First computed	2026-07-05T10:06:26.841592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abdc501c2e1bf148f8e7538926ca1a70747123460172acecf8c009ecd17a0b3

Aliases

arxiv: 2210.16323 · arxiv_version: 2210.16323v6 · doi: 10.48550/arxiv.2210.16323 · pith_short_12: TK64KAOC4G7R · pith_short_16: TK64KAOC4G7RJD4O · pith_short_8: TK64KAOC

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/TK64KAOC4G7RJD4OOU4JE3FBU4 \
  | 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: 9abdc501c2e1bf148f8e7538926ca1a70747123460172acecf8c009ecd17a0b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b8d9de65bf4c1d35962fdc233f4ab9635ca245765dc715b6cb6e36dac7cc3f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2022-10-28T18:00:00Z",
    "title_canon_sha256": "ef446f3dcbdd57494b6e1bf6a7b6abebeb0195856733de00988a6046cb4f1dd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16323",
    "kind": "arxiv",
    "version": 6
  }
}