Pith Number

pith:PX4WBC6K

pith:2010:PX4WBC6KT6264T3ZVAPELGNI6V

not attested not anchored not stored refs pending

Classification of Gapped Symmetric Phases in 1D Spin Systems

Xiao-Gang Wen, Xie Chen, Zheng-Cheng Gu

arxiv:1008.3745 v2 · 2010-08-23 · cond-mat.str-el · quant-ph

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\usepackage{pith}
\pithnumber{PX4WBC6KT6264T3ZVAPELGNI6V}

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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

5 papers in Pith

Self-$G$-ality in 1+1 dimensions

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders

Tori, Klein Bottles, and Modulo 8 Parity/Time-reversal Anomalies of 2+1d Staggered Fermions

Symmetry Spans and Enforced Gaplessness

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

Receipt and verification

First computed	2026-05-18T02:05:43.904561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7df9608bca9fb5ee4f79a81e4599a8f54a11e9d36cf7cec6ad2b46f7eb003542

Aliases

arxiv: 1008.3745 · arxiv_version: 1008.3745v2 · doi: 10.48550/arxiv.1008.3745 · pith_short_12: PX4WBC6KT626 · pith_short_16: PX4WBC6KT6264T3Z · pith_short_8: PX4WBC6K

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/PX4WBC6KT6264T3ZVAPELGNI6V \
  | 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: 7df9608bca9fb5ee4f79a81e4599a8f54a11e9d36cf7cec6ad2b46f7eb003542

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4981cf2c7436199be05771b19d6cc8f5ba6b0b8de65ffc2c19c98e514b4fae9",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-08-23T04:08:40Z",
    "title_canon_sha256": "4eaf57c59c1d4b18ccf814e073a8a9c2996ce5f93c8819f574909d0b9614b739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3745",
    "kind": "arxiv",
    "version": 2
  }
}