Pith Number

pith:75PH2SWG

pith:2026:75PH2SWG3MCPZMNQHKGWOXAV4Z

not attested not anchored not stored refs pending

Matrix Product States for Modulated Symmetries: SPT, LSM, and Beyond

Amogh Anakru, Linhao Li, Sarvesh Srinivasan, Zhen Bi

arxiv:2603.19189 v2 · 2026-03-19 · cond-mat.str-el · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{75PH2SWG3MCPZMNQHKGWOXAV4Z}

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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

4 papers in Pith

Translationally Covariant Modulated Symmetries: Classification and Goldstone

Matrix Product States for Modulated Topological Phases: Crystalline Equivalence Principle and Lieb-Schultz-Mattis Constraints

Lieb-Schultz-Mattis Anomalies and Anomaly Matching

Projector, Neural, and Tensor-Network Representations of $\mathbb{Z}_N$ Cluster and Dipolar-cluster SPT States

Receipt and verification

First computed	2026-06-19T16:09:57.002722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff5e7d4ac6db04fcb1b03a8d675c15e65d5d9b4680f1e7d57566cc995e454be9

Aliases

arxiv: 2603.19189 · arxiv_version: 2603.19189v2 · doi: 10.48550/arxiv.2603.19189 · pith_short_12: 75PH2SWG3MCP · pith_short_16: 75PH2SWG3MCPZMNQ · pith_short_8: 75PH2SWG

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/75PH2SWG3MCPZMNQHKGWOXAV4Z \
  | 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: ff5e7d4ac6db04fcb1b03a8d675c15e65d5d9b4680f1e7d57566cc995e454be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1004003cd4a91d0f64429130df26f80ba782e54bf2beb058cfd5c6458e28620f",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-03-19T17:44:13Z",
    "title_canon_sha256": "2ddf3c8655a2ecb1d7d7fc219859287a55054c3b20a116e7da5fc4da98ac8690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.19189",
    "kind": "arxiv",
    "version": 2
  }
}