Pith Number

pith:YPSU6KKI

pith:2004:YPSU6KKIMH57LMGAJ2EZZOR4KT

not attested not anchored not stored refs pending

Nonisotropic 3-level Quantum Systems: Complete Solutions for Minimum Time and Minimum Energy

Gregoire Charlot, Thomas Chambrion, Ugo Boscain

arxiv:quant-ph/0409022 v2 · 2004-09-03 · 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{YPSU6KKIMH57LMGAJ2EZZOR4KT}

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	2026-05-18T01:05:03.262075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3e54f294861fbf5b0c04e899cba3c54c95397a88827976638bcd8139948af17

Aliases

arxiv: quant-ph/0409022 · arxiv_version: quant-ph/0409022v2 · doi: 10.48550/arxiv.quant-ph/0409022 · pith_short_12: YPSU6KKIMH57 · pith_short_16: YPSU6KKIMH57LMGA · pith_short_8: YPSU6KKI

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/YPSU6KKIMH57LMGAJ2EZZOR4KT \
  | 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: c3e54f294861fbf5b0c04e899cba3c54c95397a88827976638bcd8139948af17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c13dab08cbf9b8344c083827f43685f33bf03ab8eea80d4bbf916b7f69ac886",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-09-03T16:30:50Z",
    "title_canon_sha256": "89c6da7b0564e3d264766773b3c1a37297a8268f291b6bf5cb645bbfd63d09e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0409022",
    "kind": "arxiv",
    "version": 2
  }
}