Pith Number

pith:SN5DJBYM

pith:2007:SN5DJBYM6KMEJNDARXJCVDMMER

not attested not anchored not stored refs pending

Quantum Brachistochrone for Mixed States

A. Carlini, A. Hosoya, T. Koike, Y. Okudaira

arxiv:quant-ph/0703047 v1 · 2007-03-06 · 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{SN5DJBYM6KMEJNDARXJCVDMMER}

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	2026-05-18T02:32:31.809431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

937a34870cf29844b4608dd22a8d8c244e4514c5647e3bdcf78d2a8952cc552d

Aliases

arxiv: quant-ph/0703047 · arxiv_version: quant-ph/0703047v1 · doi: 10.48550/arxiv.quant-ph/0703047 · pith_short_12: SN5DJBYM6KME · pith_short_16: SN5DJBYM6KMEJNDA · pith_short_8: SN5DJBYM

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/SN5DJBYM6KMEJNDARXJCVDMMER \
  | 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: 937a34870cf29844b4608dd22a8d8c244e4514c5647e3bdcf78d2a8952cc552d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b15c1c1c496f498ce124eb21d8f07ca70d59f77f692ff32024abe20a32dbcea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-03-06T23:33:19Z",
    "title_canon_sha256": "144574e91a1aa71d79e07bee2eda1411253fe28b22ca858ac4ecb0be2f17ea14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0703047",
    "kind": "arxiv",
    "version": 1
  }
}