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Pith Number

pith:F4NZWTX4

pith:2014:F4NZWTX42PVGPRUXC3YYGAVVTY
not attested not anchored not stored refs pending

$C^1$-classification of gapped parent Hamiltonians of quantum spin chains

Sven Bachmann, Yoshiko Ogata

arxiv:1407.3924 v2 · 2014-07-15 · math-ph · math.MP · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{F4NZWTX42PVGPRUXC3YYGAVVTY}

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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.
Receipt and verification
First computed 2026-05-18T01:42:36.715806Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2f1b9b4efcd3ea67c69716f18302b59e2d8a0cfd8ffb70358ef023c877348320

Aliases

arxiv: 1407.3924 · arxiv_version: 1407.3924v2 · doi: 10.48550/arxiv.1407.3924 · pith_short_12: F4NZWTX42PVG · pith_short_16: F4NZWTX42PVGPRUX · pith_short_8: F4NZWTX4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4NZWTX42PVGPRUXC3YYGAVVTY \
  | 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: 2f1b9b4efcd3ea67c69716f18302b59e2d8a0cfd8ffb70358ef023c877348320
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "feeb342ee52fe0b3f6dede025e28697c1a38193424262b766a32974e22a3b5dc",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-07-15T09:49:31Z",
    "title_canon_sha256": "7b06031e9d10688b9e5fe6c7371c52e897ac11d2b32ef7dc4b9a0958fdc6a258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3924",
    "kind": "arxiv",
    "version": 2
  }
}