Pith Number

pith:QIJ43PKY

pith:2021:QIJ43PKYOB2TKQLY5K3LZS6HUU

not attested not anchored not stored refs pending

Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Clement Delcamp, Frank Verstraete, Gerardo Ortiz, Laurens Lootens

arxiv:2112.09091 v4 · 2021-12-16 · quant-ph · cond-mat.str-el · math-ph · math.MP

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\usepackage{pith}
\pithnumber{QIJ43PKYOB2TKQLY5K3LZS6HUU}

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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

9 papers in Pith

Lattice non-invertible symmetry from non-commuting transfer matrices

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Lattice Models for Phases and Transitions with Non-Invertible Symmetries

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries

Receipt and verification

First computed	2026-07-05T06:28:30.331188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8213cdbd587075354178eab6bccbc7a51dd1a1d40f9ed9b091262ae68d8ea112

Aliases

arxiv: 2112.09091 · arxiv_version: 2112.09091v4 · doi: 10.48550/arxiv.2112.09091 · pith_short_12: QIJ43PKYOB2T · pith_short_16: QIJ43PKYOB2TKQLY · pith_short_8: QIJ43PKY

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/QIJ43PKYOB2TKQLY5K3LZS6HUU \
  | 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: 8213cdbd587075354178eab6bccbc7a51dd1a1d40f9ed9b091262ae68d8ea112

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d41785d0cc4a9b155270e2425c87643d3f78ff0bbf8ff437d37e392f4594cfd",
    "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": "2021-12-16T18:22:49Z",
    "title_canon_sha256": "3ced774b9944573bc18bc8ab9759e549ebb7db14bd43734ac9864585048996a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.09091",
    "kind": "arxiv",
    "version": 4
  }
}