Pith Number

pith:CJJCAGRP

pith:2011:CJJCAGRP5UQ2YY3WYRTBG5RANW

not attested not anchored not stored refs pending

Symmetry protected topological orders and the group cohomology of their symmetry group

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

arxiv:1106.4772 v6 · 2011-06-23 · cond-mat.str-el · quant-ph

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJJCAGRP5UQ2YY3WYRTBG5RANW}

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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

13 papers in Pith

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

Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement--Deconfinement Transition

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

Twisted quantum doubles are sign problem-free

Automorphism in Gauge Theories: Higher Symmetries and Transversal Non-Clifford Logical Gates

Receipt and verification

First computed	2026-05-18T03:14:30.611260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1252201a2fed21ac6376c4661376206da066c37b068118c27e50103853dca3f6

Aliases

arxiv: 1106.4772 · arxiv_version: 1106.4772v6 · doi: 10.48550/arxiv.1106.4772 · pith_short_12: CJJCAGRP5UQ2 · pith_short_16: CJJCAGRP5UQ2YY3W · pith_short_8: CJJCAGRP

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/CJJCAGRP5UQ2YY3WYRTBG5RANW \
  | 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: 1252201a2fed21ac6376c4661376206da066c37b068118c27e50103853dca3f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76b6d6b8805e4c4258a0d396bc856054e03cd13b05d8c43bb4011641981cb1c5",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2011-06-23T16:50:29Z",
    "title_canon_sha256": "287be055068217008244bf2970dc30dfd2ca8cebc8be2f689e0123dee6f0d758"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4772",
    "kind": "arxiv",
    "version": 6
  }
}