Pith Number

pith:UHHI5GGT

pith:2002:UHHI5GGTH33GMYAVM7CTUIV3SU

not attested not anchored not stored refs pending

Asymptotic Relative Entropy of Entanglement for Orthogonally Invariant States

B. De Moor, K. Audenaert, K.G. H. Vollbrecht, R.F. Werner

arxiv:quant-ph/0204143 v1 · 2002-04-24 · 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{UHHI5GGTH33GMYAVM7CTUIV3SU}

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	2026-07-04T16:36:02.932958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ce8e98d33ef666601567c53a22bb953835764f5012694ad4112b796a5bb10c

Aliases

arxiv: quant-ph/0204143 · arxiv_version: quant-ph/0204143v1 · doi: 10.48550/arxiv.quant-ph/0204143 · pith_short_12: UHHI5GGTH33G · pith_short_16: UHHI5GGTH33GMYAV · pith_short_8: UHHI5GGT

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/UHHI5GGTH33GMYAVM7CTUIV3SU \
  | 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: a1ce8e98d33ef666601567c53a22bb953835764f5012694ad4112b796a5bb10c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dc6015ee2885556f4b439754ab897ceffb42fb3a8009a7ed0cfd2e88d26fc3f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-04-24T18:33:04Z",
    "title_canon_sha256": "cdf34aa68f2d7c6ce13d55eb266ca4371ea617b5428b4059a3778efd2e88682e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0204143",
    "kind": "arxiv",
    "version": 1
  }
}