Pith Number

pith:AFDLY2KB

pith:2003:AFDLY2KB22LFAHQQNRUI5C55OL

not attested not anchored not stored refs pending

Optimum Probe Parameters for Entangling Probe in Quantum Key Distribution

Howard E. Brandt

arxiv:quant-ph/0302033 v2 · 2003-02-04 · 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{AFDLY2KB22LFAHQQNRUI5C55OL}

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	2026-05-18T01:05:04.100726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0146bc6941d696501e106c688e8bbd72f4f8841a1edef0152995643219ac7cef

Aliases

arxiv: quant-ph/0302033 · arxiv_version: quant-ph/0302033v2 · doi: 10.48550/arxiv.quant-ph/0302033 · pith_short_12: AFDLY2KB22LF · pith_short_16: AFDLY2KB22LFAHQQ · pith_short_8: AFDLY2KB

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/AFDLY2KB22LFAHQQNRUI5C55OL \
  | 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: 0146bc6941d696501e106c688e8bbd72f4f8841a1edef0152995643219ac7cef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "641a0c1cddf4caea73a6c651728bdbdbd38381c72fd2a2d1050d690a76014da1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2003-02-04T20:19:59Z",
    "title_canon_sha256": "c3bc8319b93c783e7ebd99494e9fb8957abd8a25159663954f4d5e2c691ebd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0302033",
    "kind": "arxiv",
    "version": 2
  }
}