Pith Number

pith:TGQGCWX6

pith:2001:TGQGCWX6BIJ6GKVUB54ZLPFIG3

not attested not anchored not stored refs pending

Measuring quantum entanglement without prior state reconstruction

Pawel Horodecki

arxiv:quant-ph/0111082 v2 · 2001-11-14 · 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{TGQGCWX6BIJ6GKVUB54ZLPFIG3}

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	2026-07-04T14:45:43.966762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a0615afe0a13e32ab40f7995bca836e8fb55077234a75ac065376d80a6f152

Aliases

arxiv: quant-ph/0111082 · arxiv_version: quant-ph/0111082v2 · doi: 10.48550/arxiv.quant-ph/0111082 · pith_short_12: TGQGCWX6BIJ6 · pith_short_16: TGQGCWX6BIJ6GKVU · pith_short_8: TGQGCWX6

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/TGQGCWX6BIJ6GKVUB54ZLPFIG3 \
  | 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: 99a0615afe0a13e32ab40f7995bca836e8fb55077234a75ac065376d80a6f152

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7fb6bba602c32b6a50c2657c6d57cba5a760b61ea00aadac28ea0029aa17f5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-11-14T20:41:21Z",
    "title_canon_sha256": "8b347b70156ff386bba45ee4421b6841848a695a808f35ea06e92e9e8100f68f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0111082",
    "kind": "arxiv",
    "version": 2
  }
}