Pith Number

pith:FIZ7PEPD

pith:2010:FIZ7PEPD2DJI4RH3IHDZMOHIOE

not attested not anchored not stored refs pending

The Quantum Double Model with Boundary: Condensations and Symmetries

Daniel Whalen, Peter W. Shor, Salman Beigi

arxiv:1006.5479 v5 · 2010-06-28 · quant-ph · cond-mat.str-el · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FIZ7PEPD2DJI4RH3IHDZMOHIOE}

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

Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions

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

Receipt and verification

First computed	2026-05-17T23:44:23.359930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a33f791e3d0d28e44fb41c79638e871020964cf313a6075188da376422614db

Aliases

arxiv: 1006.5479 · arxiv_version: 1006.5479v5 · doi: 10.48550/arxiv.1006.5479 · pith_short_12: FIZ7PEPD2DJI · pith_short_16: FIZ7PEPD2DJI4RH3 · pith_short_8: FIZ7PEPD

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/FIZ7PEPD2DJI4RH3IHDZMOHIOE \
  | 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: 2a33f791e3d0d28e44fb41c79638e871020964cf313a6075188da376422614db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71f7c2f599b33403516a4b4e07d71b526d3662f3a5bb9c967812c8c5fa8df71",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-06-28T22:56:28Z",
    "title_canon_sha256": "a5a949b56122faa5dc55fcb5e77b6d367a9701366f90da32731f2bb32af426fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.5479",
    "kind": "arxiv",
    "version": 5
  }
}