Pith Number

pith:7YTNLR4K

pith:2000:7YTNLR4KTBQ73QU5VXUZS3P32W

not attested not anchored not stored refs pending

Quantum Computation with Harmonic Oscillators

Barry C. Sanders, Benjamin T. H. Varcoe, Hubert de Guise, Stephen D. Bartlett

arxiv:quant-ph/0011080 v3 · 2000-11-20 · 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{7YTNLR4KTBQ73QU5VXUZS3P32W}

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	2026-07-04T14:45:33.410564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe26d5c78a9861fdc29dade9996dfbd58b555096e0f107f780f07dcd6eb6ef9b

Aliases

arxiv: quant-ph/0011080 · arxiv_version: quant-ph/0011080v3 · doi: 10.48550/arxiv.quant-ph/0011080 · pith_short_12: 7YTNLR4KTBQ7 · pith_short_16: 7YTNLR4KTBQ73QU5 · pith_short_8: 7YTNLR4K

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/7YTNLR4KTBQ73QU5VXUZS3P32W \
  | 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: fe26d5c78a9861fdc29dade9996dfbd58b555096e0f107f780f07dcd6eb6ef9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfd416aa41df02d2c0226e67f78c1b69636805434a2dfbc0a7d8808a3c12266d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-11-20T04:58:27Z",
    "title_canon_sha256": "49f4d8d88e3f0fc2dbd90e1de34cbd3040a0876fef1211079623114fbfded615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0011080",
    "kind": "arxiv",
    "version": 3
  }
}