Pith Number

pith:VALNJBXO

pith:1999:VALNJBXOT3HNWFB7TGGZO3KKVM

not attested not anchored not stored refs pending

Erratum: Asymptotic entanglement manipulations can be genuinely irreversible. [Phys. Rev. Lett. {\bf 84}, 4260 (2000)]

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

arxiv:quant-ph/9912076 v4 · 1999-12-15 · 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{VALNJBXOT3HNWFB7TGGZO3KKVM}

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	2026-07-04T14:47:30.607464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a816d486ee9ecedb143f998d976d4aab29f9dc10a56055db6ea1cbd25b7b0951

Aliases

arxiv: quant-ph/9912076 · arxiv_version: quant-ph/9912076v4 · doi: 10.48550/arxiv.quant-ph/9912076 · pith_short_12: VALNJBXOT3HN · pith_short_16: VALNJBXOT3HNWFB7 · pith_short_8: VALNJBXO

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/VALNJBXOT3HNWFB7TGGZO3KKVM \
  | 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: a816d486ee9ecedb143f998d976d4aab29f9dc10a56055db6ea1cbd25b7b0951

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b3803c18dafbaee76b9440b21f66a9ba2d2ac79e3e171d9ce8a3ee1eb6cc033",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-12-15T20:44:15Z",
    "title_canon_sha256": "9a0bbdcfe4da6db304907c30201bb1ca8fb298234bb2ae7954e3d623b60c26e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9912076",
    "kind": "arxiv",
    "version": 4
  }
}