Pith Number

pith:JVJVPYBY

pith:2003:JVJVPYBYUFVM3ZV5Q7BLD57PVA

not attested not anchored not stored refs pending

A complete family of separability criteria

Andrew C. Doherty, Federico M. Spedalieri, Pablo A. Parrilo

arxiv:quant-ph/0308032 v3 · 2003-08-05 · 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{JVJVPYBYUFVM3ZV5Q7BLD57PVA}

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.

Cited by

2 papers in Pith

Hankel and Multiplication Tensor Completions for Cactus Rank

The Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems

Receipt and verification

First computed	2026-07-04T14:46:22.928050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d5357e038a16acde6bd87c2b1f7efa816d2249183a2267e7779eb1716bc6655

Aliases

arxiv: quant-ph/0308032 · arxiv_version: quant-ph/0308032v3 · doi: 10.48550/arxiv.quant-ph/0308032 · pith_short_12: JVJVPYBYUFVM · pith_short_16: JVJVPYBYUFVM3ZV5 · pith_short_8: JVJVPYBY

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/JVJVPYBYUFVM3ZV5Q7BLD57PVA \
  | 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: 4d5357e038a16acde6bd87c2b1f7efa816d2249183a2267e7779eb1716bc6655

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "782fc7f43bbf7ecc4a70b7881cc05db5748e95009709d6da8a1c6befcbeda4e0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-08-05T22:15:04Z",
    "title_canon_sha256": "44f3043b437b795b7800b9d7ca8295960da782fee211dc932fad3b6dfaa40929"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0308032",
    "kind": "arxiv",
    "version": 3
  }
}