Pith Number

pith:U5ZSDCEV

pith:1999:U5ZSDCEVDUWLQIZV4XAQP3J7PR

not attested not anchored not stored refs pending

The Rate of Optimal Purification procedures

M. Keyl, R. F. Werner

arxiv:quant-ph/9910124 v1 · 1999-11-01 · 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{U5ZSDCEVDUWLQIZV4XAQP3J7PR}

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	2026-07-04T14:47:29.371581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7732188951d2cb82335e5c107ed3f7c6d9d9b385778bc64d9ce67ca322cd930

Aliases

arxiv: quant-ph/9910124 · arxiv_version: quant-ph/9910124v1 · doi: 10.48550/arxiv.quant-ph/9910124 · pith_short_12: U5ZSDCEVDUWL · pith_short_16: U5ZSDCEVDUWLQIZV · pith_short_8: U5ZSDCEV

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/U5ZSDCEVDUWLQIZV4XAQP3J7PR \
  | 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: a7732188951d2cb82335e5c107ed3f7c6d9d9b385778bc64d9ce67ca322cd930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1518787d79b43e05f9fabc4aa3a33dbb63abbce635bde706d10e86d6de6ae48",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1999-11-01T18:37:36Z",
    "title_canon_sha256": "e34df38c3a31e24f454ae37c3a2feef93c6dde461c31ce9a895ccd36a04dbb1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9910124",
    "kind": "arxiv",
    "version": 1
  }
}