Pith Number

pith:Q7BH4GWA

pith:1999:Q7BH4GWAIZ5NR5KLO2BBZAR5WR

not attested not anchored not stored refs pending

Exact and Asymptotic Measures of Multipartite Pure State Entanglement

Ashish V. Thapliyal, Charles H. Bennett, Daniel Rohrlich, John A. Smolin, Sandu Popescu

arxiv:quant-ph/9908073 v3 · 1999-08-24 · 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{Q7BH4GWAIZ5NR5KLO2BBZAR5WR}

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	2026-07-05T02:43:00.214842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87c27e1ac0467ad8f54b76821c823db4554e25ad74ab62e36d7d6fbb53d08ea9

Aliases

arxiv: quant-ph/9908073 · arxiv_version: quant-ph/9908073v3 · doi: 10.48550/arxiv.quant-ph/9908073 · pith_short_12: Q7BH4GWAIZ5N · pith_short_16: Q7BH4GWAIZ5NR5KL · pith_short_8: Q7BH4GWA

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/Q7BH4GWAIZ5NR5KLO2BBZAR5WR \
  | 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: 87c27e1ac0467ad8f54b76821c823db4554e25ad74ab62e36d7d6fbb53d08ea9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229f5b41875605595424c15b6e11bdab19ef067d43106a1469974f03eefdcf6d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-08-24T03:24:32Z",
    "title_canon_sha256": "3976fd3280f41d577e38c188118b9245f3545df63a93e2455a9579409d0a143d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9908073",
    "kind": "arxiv",
    "version": 3
  }
}