Pith Number

pith:W2BTC4SV

pith:2018:W2BTC4SVRSFQECKEPGZHAS7QYA

not attested not anchored not stored refs pending

Topological phase transition and $\mathbb{Z}_2$ index for $S=1$ quantum spin chains

Hal Tasaki

arxiv:1804.04337 v5 · 2018-04-12 · cond-mat.stat-mech · math-ph · 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{W2BTC4SVRSFQECKEPGZHAS7QYA}

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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

1 paper in Pith

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

Receipt and verification

First computed	2026-05-18T00:03:49.150857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6833172558c8b02094479b2704bf0c02c92fe59f1e85090c8ae897a97523ded

Aliases

arxiv: 1804.04337 · arxiv_version: 1804.04337v5 · doi: 10.48550/arxiv.1804.04337 · pith_short_12: W2BTC4SVRSFQ · pith_short_16: W2BTC4SVRSFQECKE · pith_short_8: W2BTC4SV

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/W2BTC4SVRSFQECKEPGZHAS7QYA \
  | 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: b6833172558c8b02094479b2704bf0c02c92fe59f1e85090c8ae897a97523ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d721cd3e94793e72f57f7eb8746cc2cd956e17709f3414089f32132a49f83948",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2018-04-12T06:15:35Z",
    "title_canon_sha256": "00fc15beb5cd0d757c803f34f651a746ebacb3a96ddfb01f9016944d2ade47c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04337",
    "kind": "arxiv",
    "version": 5
  }
}