Pith Number

pith:Y56ADDUV

pith:2022:Y56ADDUV5MLYOOO26P5VGTXBP7

not attested not anchored not stored refs pending

Matrix Product Operator Algebras II: Phases of Matter for 1D Mixed States

Alberto Ruiz-de-Alarc\'on, Andr\'as Moln\'ar, David P\'erez-Garc\'ia, Jos\'e Garre-Rubio

arxiv:2204.06295 v2 · 2022-04-13 · 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{Y56ADDUV5MLYOOO26P5VGTXBP7}

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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

1 paper in Pith

Renormalization flows for 1D mixed states and a quantum Goursat lemma

Receipt and verification

First computed	2026-07-05T07:55:43.668591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77c018e95eb178739daf3fb534ee17fe9e9b5e2e078b75c006d094c85fcd42f

Aliases

arxiv: 2204.06295 · arxiv_version: 2204.06295v2 · doi: 10.48550/arxiv.2204.06295 · pith_short_12: Y56ADDUV5MLY · pith_short_16: Y56ADDUV5MLYOOO2 · pith_short_8: Y56ADDUV

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/Y56ADDUV5MLYOOO26P5VGTXBP7 \
  | 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: c77c018e95eb178739daf3fb534ee17fe9e9b5e2e078b75c006d094c85fcd42f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5ab9d7a079fa21e63e9cc4a685e0645ed072c12e3de1aa5e4337854899bded0",
    "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": "2022-04-13T10:48:04Z",
    "title_canon_sha256": "ebcb72840e3bb4e7cb5e10ccfc8c0a43aaf8a33e3f3980e4e8382f0869c238f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.06295",
    "kind": "arxiv",
    "version": 2
  }
}