Pith Number

pith:N4YFT26Q

pith:2006:N4YFT26QLO7BBQ2XQ44ULP2WAS

not attested not anchored not stored refs pending

The Necessary and Sufficient Conditions of Separability for Multipartite Pure States

D. Li, H. Huang, X. Li

arxiv:quant-ph/0604147 v1 · 2006-04-20 · 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{N4YFT26QLO7BBQ2XQ44ULP2WAS}

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	2026-05-18T03:56:10.933161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3059ebd05bbe10c357873945bf5604ae8acaef229eed07f9ad3eec3a814ea2

Aliases

arxiv: quant-ph/0604147 · arxiv_version: quant-ph/0604147v1 · doi: 10.48550/arxiv.quant-ph/0604147 · pith_short_12: N4YFT26QLO7B · pith_short_16: N4YFT26QLO7BBQ2X · pith_short_8: N4YFT26Q

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/N4YFT26QLO7BBQ2XQ44ULP2WAS \
  | 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: 6f3059ebd05bbe10c357873945bf5604ae8acaef229eed07f9ad3eec3a814ea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c6ffaff603e0b4024fa006a38c7ac7ac8a76f98d0d1183871a232f6b97f4fd4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-04-20T08:37:54Z",
    "title_canon_sha256": "03d689df7cb4cd9a2d7b13d468f7f74ce0990a3427a6a5934e4fd3c8f20b196c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0604147",
    "kind": "arxiv",
    "version": 1
  }
}