Pith Number

pith:LMQZ5ASR

pith:2001:LMQZ5ASRZBMKZS6XFJMXBO7S7P

not attested not anchored not stored refs pending

Quantum Encodings in Spin Systems and Harmonic Oscillators

Barry C. Sanders, Hubert de Guise, Stephen D. Bartlett

arxiv:quant-ph/0109066 v2 · 2001-09-14 · 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{LMQZ5ASRZBMKZS6XFJMXBO7S7P}

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	2026-07-04T14:45:41.985123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b219e8251c858accbd72a5970bbf2fbd21253bfc46a242829ece2b408015617

Aliases

arxiv: quant-ph/0109066 · arxiv_version: quant-ph/0109066v2 · doi: 10.48550/arxiv.quant-ph/0109066 · pith_short_12: LMQZ5ASRZBMK · pith_short_16: LMQZ5ASRZBMKZS6X · pith_short_8: LMQZ5ASR

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/LMQZ5ASRZBMKZS6XFJMXBO7S7P \
  | 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: 5b219e8251c858accbd72a5970bbf2fbd21253bfc46a242829ece2b408015617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cda3e8c810db1363bb1c53e77093974f55a69a336300bc0fb2cddae6d4d96c9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-14T06:46:47Z",
    "title_canon_sha256": "226430cba2cc55b5fc174e6cb08b2e4a4c5c9e37f8ba44a63f6ca125944e23c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109066",
    "kind": "arxiv",
    "version": 2
  }
}