Pith Number

pith:YUYSZS2R

pith:2009:YUYSZS2RTSDHF2UEZTQ3LEDYO3

not attested not anchored not stored refs pending

Symmetry protection of topological order in one-dimensional quantum spin systems

Ari M. Turner, Erez Berg, Frank Pollmann, Masaki Oshikawa

arxiv:0909.4059 v3 · 2009-09-22 · cond-mat.str-el · cond-mat.stat-mech

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YUYSZS2RTSDHF2UEZTQ3LEDYO3}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

8 papers in Pith

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

The Ground State of the S=1 Antiferromagnetic Heisenberg Chain is Topologically Nontrivial if Gapped

Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering

When Symmetries Twist: Anomaly Inflow on Monodromy Defects

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

Receipt and verification

First computed	2026-05-18T03:59:38.648432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5312ccb519c8672ea84cce1b5907876ca1643cd95fb87f9f5b82875aa1e7df2

Aliases

arxiv: 0909.4059 · arxiv_version: 0909.4059v3 · doi: 10.48550/arxiv.0909.4059 · pith_short_12: YUYSZS2RTSDH · pith_short_16: YUYSZS2RTSDHF2UE · pith_short_8: YUYSZS2R

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/YUYSZS2RTSDHF2UEZTQ3LEDYO3 \
  | 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: c5312ccb519c8672ea84cce1b5907876ca1643cd95fb87f9f5b82875aa1e7df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eca4b38130fbb3f21a0dac22fa0583659d8406356194e5585b3d8975eb79c844",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2009-09-22T19:27:18Z",
    "title_canon_sha256": "82596f8d96fbe3e772c95235e4c4bd524e813763965b78393a0ff57dc89205c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4059",
    "kind": "arxiv",
    "version": 3
  }
}