Pith Number

pith:P7X4JKGG

pith:2000:P7X4JKGGZGXZULO7FBLVINOIX3

not attested not anchored not stored refs pending

Upper Bound on the region of Separable States near the Maximally Mixed State

K. Nemoto, P. Deuar, W. J. Munro

arxiv:quant-ph/0002002 v1 · 2000-02-01 · 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{P7X4JKGGZGXZULO7FBLVINOIX3}

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	2026-07-04T16:22:17.217107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fefc4a8c6c9af9a2ddf28575435c8beccf8bec582f8b34a3a13e146088b2717

Aliases

arxiv: quant-ph/0002002 · arxiv_version: quant-ph/0002002v1 · doi: 10.48550/arxiv.quant-ph/0002002 · pith_short_12: P7X4JKGGZGXZ · pith_short_16: P7X4JKGGZGXZULO7 · pith_short_8: P7X4JKGG

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/P7X4JKGGZGXZULO7FBLVINOIX3 \
  | 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: 7fefc4a8c6c9af9a2ddf28575435c8beccf8bec582f8b34a3a13e146088b2717

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "425bb31d8468dc338af37cf15aeca99acbb375c8f1e7df8624252e959b09b47a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2000-02-01T03:49:19Z",
    "title_canon_sha256": "5ad072a9e9cf22c4abd07a673084beec8c122a4913445949f355ec71de7be7f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0002002",
    "kind": "arxiv",
    "version": 1
  }
}