Pith Number

pith:4OOSDVEX

pith:2001:4OOSDVEXUZCNOOQDDI5LK6I7NF

not attested not anchored not stored refs pending

Optimizing Completely Positive Maps using Semidefinite Programming

B. De Moor, K. Audenaert

arxiv:quant-ph/0109155 v2 · 2001-09-28 · 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{4OOSDVEXUZCNOOQDDI5LK6I7NF}

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	2026-05-18T03:27:12.263658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39d21d497a644d73a031a3ab5791f696928cc3023bd42aed11ed7ef0c15c4e3

Aliases

arxiv: quant-ph/0109155 · arxiv_version: quant-ph/0109155v2 · doi: 10.48550/arxiv.quant-ph/0109155 · pith_short_12: 4OOSDVEXUZCN · pith_short_16: 4OOSDVEXUZCNOOQD · pith_short_8: 4OOSDVEX

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/4OOSDVEXUZCNOOQDDI5LK6I7NF \
  | 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: e39d21d497a644d73a031a3ab5791f696928cc3023bd42aed11ed7ef0c15c4e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43c7e9741eb60825b385187ffc7e923d1ed214505d8a229efff389cfdb0a2f9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-09-28T13:54:56Z",
    "title_canon_sha256": "3d76b66f79d64383d825a485a489d678bd9d378b0c1ae5065e4af6ff754bccb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0109155",
    "kind": "arxiv",
    "version": 2
  }
}