Pith Number

pith:AF6CRJSO

pith:2021:AF6CRJSOMOKCAKIIP55V773CY6

not attested not anchored not stored refs pending

Symmetry Protected Topological Order in Open Quantum Systems

Alex Turzillo, Caroline de Groot, Norbert Schuch

arxiv:2112.04483 v3 · 2021-12-08 · quant-ph · 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{AF6CRJSOMOKCAKIIP55V773CY6}

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

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

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

Receipt and verification

First computed	2026-07-05T05:16:17.528424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017c28a64e63942029087f7b5fff62c794f8da2863a842a5a9ac9a6a67bd2209

Aliases

arxiv: 2112.04483 · arxiv_version: 2112.04483v3 · doi: 10.48550/arxiv.2112.04483 · pith_short_12: AF6CRJSOMOKC · pith_short_16: AF6CRJSOMOKCAKII · pith_short_8: AF6CRJSO

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/AF6CRJSOMOKCAKIIP55V773CY6 \
  | 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: 017c28a64e63942029087f7b5fff62c794f8da2863a842a5a9ac9a6a67bd2209

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eedaf1986d7ed30b63c843e48d8c76fe8867faa4fda34ce84326a0b5ef3ae5f3",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2021-12-08T18:59:26Z",
    "title_canon_sha256": "5033542789c4d39dd258aa9f04fb75ab377abad0c946647384e5255bb58b1066"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.04483",
    "kind": "arxiv",
    "version": 3
  }
}