Pith Number

pith:CO3PI6UG

pith:2001:CO3PI6UGHXKJ3LVKBSF72ZVEHN

not attested not anchored not stored refs pending

Entanglement Measures with Asymptotic Weak-Monotonicity as Lower (Upper) Bound for the Entanglement of Cost (Distillation)

Keiji Matsumoto, W.-Y. Hwang

arxiv:quant-ph/0110080 v2 · 2001-10-12 · 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{CO3PI6UGHXKJ3LVKBSF72ZVEHN}

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	2026-05-18T01:38:02.423713Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13b6f47a863dd49daeaa0c8bfd66a43b74d4c036dc91c32acb3b40259d16ceca

Aliases

arxiv: quant-ph/0110080 · arxiv_version: quant-ph/0110080v2 · doi: 10.48550/arxiv.quant-ph/0110080 · pith_short_12: CO3PI6UGHXKJ · pith_short_16: CO3PI6UGHXKJ3LVK · pith_short_8: CO3PI6UG

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/CO3PI6UGHXKJ3LVKBSF72ZVEHN \
  | 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: 13b6f47a863dd49daeaa0c8bfd66a43b74d4c036dc91c32acb3b40259d16ceca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa2a988a061c8d8bdc48bc070c868d2bc868ef4a45156b63518d99ec769cbc7e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-10-12T13:17:14Z",
    "title_canon_sha256": "dfeef8b0670a32a0add725523648bca231e60c07f08c062d21cc9411435c321f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0110080",
    "kind": "arxiv",
    "version": 2
  }
}