Pith Number

pith:VBXLUF3B

pith:2006:VBXLUF3BEN4TV2NBO4XY72F7VS

not attested not anchored not stored refs pending

The Quantum Chernoff Bound

A. Acin, E. Bagan, F. Verstraete, J. Calsamiglia, K.M.R. Audenaert, Ll. Masanes, R. Munoz-Tapia

arxiv:quant-ph/0610027 v1 · 2006-10-04 · 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{VBXLUF3BEN4TV2NBO4XY72F7VS}

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	2026-07-04T15:00:54.562157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a86eba176123793ae9a1772f8fe8bfac84ae7bdd41f955201f76d602c8928fc6

Aliases

arxiv: quant-ph/0610027 · arxiv_version: quant-ph/0610027v1 · doi: 10.48550/arxiv.quant-ph/0610027 · pith_short_12: VBXLUF3BEN4T · pith_short_16: VBXLUF3BEN4TV2NB · pith_short_8: VBXLUF3B

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/VBXLUF3BEN4TV2NBO4XY72F7VS \
  | 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: a86eba176123793ae9a1772f8fe8bfac84ae7bdd41f955201f76d602c8928fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114a9adc96b4596c897ff08a10e716f6c7079dbdc18664b69a8dd32f6aab781d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-10-04T19:34:24Z",
    "title_canon_sha256": "18fee7f5eaff9ebdd379e661987116a25d0fd01904e9fada45b026efaf9c2f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0610027",
    "kind": "arxiv",
    "version": 1
  }
}