Pith Number

pith:QU4WCQBQ

pith:2019:QU4WCQBQZ6NMRJKNKCBXJSYPMR

not attested not anchored not stored refs pending

A ${\mathbb Z}_2$-index of symmetry protected topological phases with reflection symmetry for quantum spin chains

Yoshiko Ogata

arxiv:1904.01669 v1 · 2019-04-02 · math-ph · cond-mat.stat-mech · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QU4WCQBQZ6NMRJKNKCBXJSYPMR}

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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

3 papers in Pith

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

Local Topological Quantum Order and Spectral Gap Stability for the AKLT Models on the Hexagonal and Lieb Lattices

Receipt and verification

First computed	2026-05-17T23:49:30.259336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8539614030cf9ac8a54d508374cb0f647751e2d993124672c18a21e30cb77229

Aliases

arxiv: 1904.01669 · arxiv_version: 1904.01669v1 · doi: 10.48550/arxiv.1904.01669 · pith_short_12: QU4WCQBQZ6NM · pith_short_16: QU4WCQBQZ6NMRJKN · pith_short_8: QU4WCQBQ

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/QU4WCQBQZ6NMRJKNKCBXJSYPMR \
  | 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: 8539614030cf9ac8a54d508374cb0f647751e2d993124672c18a21e30cb77229

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbef135d7f7c7a197f34ef71385cb7b5aa1ad29553f256521d352ff8d2f7d1d3",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-04-02T21:09:14Z",
    "title_canon_sha256": "e9e53c5c1f8e5f80101172197e0e0f3d736f15df26abe48d37fb8ac1abc16fd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.01669",
    "kind": "arxiv",
    "version": 1
  }
}