Pith Number

pith:W3FYSV7V

pith:2019:W3FYSV7VZNJ5DLCEZU5UOOZ325

not attested not anchored not stored refs pending

A classification of pure states on quantum spin chains satisfying the split property with on-site finite group symmetries

Yoshiko Ogata

arxiv:1908.08621 v1 · 2019-08-22 · math.OA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W3FYSV7VZNJ5DLCEZU5UOOZ325}

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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

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems

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

Receipt and verification

First computed	2026-07-04T23:59:16.117080Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6cb8957f5cb53d1ac44cd3b473b3bd7706d546aaf1a7c7bcc10187ac4e35e8b

Aliases

arxiv: 1908.08621 · arxiv_version: 1908.08621v1 · doi: 10.48550/arxiv.1908.08621 · pith_short_12: W3FYSV7VZNJ5 · pith_short_16: W3FYSV7VZNJ5DLCE · pith_short_8: W3FYSV7V

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/W3FYSV7VZNJ5DLCEZU5UOOZ325 \
  | 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: b6cb8957f5cb53d1ac44cd3b473b3bd7706d546aaf1a7c7bcc10187ac4e35e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b122f83a506e9fe6a13517f76477f29b8ca44e5b658894a322bc8a4c0a8c9a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2019-08-22T23:26:45Z",
    "title_canon_sha256": "bdc0ff71167213717eb6f6b53d3179afe4c6cab574f065e956e5962380fe2edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08621",
    "kind": "arxiv",
    "version": 1
  }
}