Pith Number

pith:354FDTCQ

pith:2013:354FDTCQHDZFGAM6H6KHQMSP7I

not attested not anchored not stored refs pending

Attainment of the multiple quantum Chernoff bound for certain ensembles of mixed states

Michael Nussbaum

arxiv:1308.6563 v1 · 2013-08-29 · 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{354FDTCQHDZFGAM6H6KHQMSP7I}

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	2026-05-18T03:14:39.580634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df7851cc5038f253019e3f9478324ffa2106f48f32b1f762f50d5296b13c3684

Aliases

arxiv: 1308.6563 · arxiv_version: 1308.6563v1 · doi: 10.48550/arxiv.1308.6563 · pith_short_12: 354FDTCQHDZF · pith_short_16: 354FDTCQHDZFGAM6 · pith_short_8: 354FDTCQ

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/354FDTCQHDZFGAM6H6KHQMSP7I \
  | 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: df7851cc5038f253019e3f9478324ffa2106f48f32b1f762f50d5296b13c3684

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8725d3683d0ad3b2137a5eb1c4991b56d0249ac26191a749b704db8c146b0b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-08-29T19:13:12Z",
    "title_canon_sha256": "e0dcdaa87baebf493cc2172e2c2a2f6428e519c2e43c8ca280b78cd4d6b93b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6563",
    "kind": "arxiv",
    "version": 1
  }
}