Pith Number

pith:4ZSPY5PN

pith:1998:4ZSPY5PNU5OBWCL4FZDV4GHJJM

not attested not anchored not stored refs pending

On Quantum Fidelities and Channel Capacities

E. Knill, H. Barnum, M. A. Nielsen

arxiv:quant-ph/9809010 v1 · 1998-09-04 · 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{4ZSPY5PNU5OBWCL4FZDV4GHJJM}

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	2026-05-18T00:57:44.644405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e664fc75eda75c1b097c2e475e18e94b2931df523dcdcd0709622da2edd2716f

Aliases

arxiv: quant-ph/9809010 · arxiv_version: quant-ph/9809010v1 · doi: 10.48550/arxiv.quant-ph/9809010 · pith_short_12: 4ZSPY5PNU5OB · pith_short_16: 4ZSPY5PNU5OBWCL4 · pith_short_8: 4ZSPY5PN

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/4ZSPY5PNU5OBWCL4FZDV4GHJJM \
  | 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: e664fc75eda75c1b097c2e475e18e94b2931df523dcdcd0709622da2edd2716f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e15fbb053baf3dbdde196adb5e57b3b9c1ae29054b997997fb0e02d3f19ba5d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1998-09-04T20:49:43Z",
    "title_canon_sha256": "65e90630b165e87229d5bf62a7bbf6bd1affa4552918fee69d4fdf4df7fa45b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9809010",
    "kind": "arxiv",
    "version": 1
  }
}