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Pith Number

pith:ZBPRWU3T

pith:2011:ZBPRWU3TXE4ZLTYKOO4HWXFB5V
not attested not anchored not stored refs pending

Spin-guides and spin-splitters: Waveguide analogies in one-dimensional spin chains

Andrew D. Greentree, Charles D. Hill, Jared H. Cole, Melissa I. Makin

arxiv:1109.4456 v1 · 2011-09-21 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZBPRWU3TXE4ZLTYKOO4HWXFB5V}

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.
Receipt and verification
First computed 2026-05-18T02:00:27.368568Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c85f1b5373b93995cf0a73b87b5ca1ed50738f41d6dd0c6fd1b2c6f33ccb1cca

Aliases

arxiv: 1109.4456 · arxiv_version: 1109.4456v1 · doi: 10.48550/arxiv.1109.4456 · pith_short_12: ZBPRWU3TXE4Z · pith_short_16: ZBPRWU3TXE4ZLTYK · pith_short_8: ZBPRWU3T
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZBPRWU3TXE4ZLTYKOO4HWXFB5V \
  | 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: c85f1b5373b93995cf0a73b87b5ca1ed50738f41d6dd0c6fd1b2c6f33ccb1cca
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f129425103a9814b0a7c33c54a1c3ec4278b0339805d42732b44e9e4d1789f59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-21T01:54:05Z",
    "title_canon_sha256": "693a5a9da5808fb06d9dd2a5db624b9e172b4294e5a20eec667844472d186fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4456",
    "kind": "arxiv",
    "version": 1
  }
}