Pith Number

pith:HFMZA3J5

pith:2004:HFMZA3J5L5WYHUIXVYSPXJYKNG

not attested not anchored not stored refs pending

A Quantum Langevin Formulation of Risk-Sensitive Optimal Control

M.R. James

arxiv:quant-ph/0412091 v2 · 2004-12-13 · 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{HFMZA3J5L5WYHUIXVYSPXJYKNG}

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	2026-05-18T01:05:03.142720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3959906d3d5f6d83d117ae24fba70a69aa4047dc8d19d65ca80504f4bddd43ea

Aliases

arxiv: quant-ph/0412091 · arxiv_version: quant-ph/0412091v2 · doi: 10.48550/arxiv.quant-ph/0412091 · pith_short_12: HFMZA3J5L5WY · pith_short_16: HFMZA3J5L5WYHUIX · pith_short_8: HFMZA3J5

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/HFMZA3J5L5WYHUIXVYSPXJYKNG \
  | 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: 3959906d3d5f6d83d117ae24fba70a69aa4047dc8d19d65ca80504f4bddd43ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1dcdd00dfc64c3ef3395d13b7b6f2ea98fc13e557d9f35a30166d1a98c2fabf4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-13T05:51:43Z",
    "title_canon_sha256": "f9a4c2b9e5c740a72f5f8ebf5a6ff11b744b3a87bdee7e46cddcd1a2f1b117b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412091",
    "kind": "arxiv",
    "version": 2
  }
}