Pith Number

pith:4L7V6MAA

pith:1999:4L7V6MAA5Y7RKHJCOPFJ5SUGYS

not attested not anchored not stored refs pending

Continuity of Relative Entropy of Entanglement

Matthew J. Donald, Michal Horodecki

arxiv:quant-ph/9910002 v1 · 1999-10-01 · 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{4L7V6MAA5Y7RKHJCOPFJ5SUGYS}

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	2026-07-04T14:47:28.542815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2ff5f3000ee3f151d2273ca9eca86c4ba7df9d3f00e05e46f7bc797827461d1

Aliases

arxiv: quant-ph/9910002 · arxiv_version: quant-ph/9910002v1 · doi: 10.48550/arxiv.quant-ph/9910002 · pith_short_12: 4L7V6MAA5Y7R · pith_short_16: 4L7V6MAA5Y7RKHJC · pith_short_8: 4L7V6MAA

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/4L7V6MAA5Y7RKHJCOPFJ5SUGYS \
  | 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: e2ff5f3000ee3f151d2273ca9eca86c4ba7df9d3f00e05e46f7bc797827461d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dbf55712f823d1b15b95bf44ca5b39bca39b77bd25f79ac97b16642119e6533",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-10-01T10:45:56Z",
    "title_canon_sha256": "14413c52d882fe3b68fe7ba14cd9baa5f4b7d8ea413d7d2a46979a6fdf0fdf73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9910002",
    "kind": "arxiv",
    "version": 1
  }
}