Pith Number

pith:4CRHBTWA

pith:2024:4CRHBTWA3AJGXAVKSCK2J2ZVWH

not attested not anchored not stored refs pending

On estimates of trace-norm distance between quantum Gaussian states

A.S. Holevo

arxiv:2408.11400 v6 · 2024-08-21 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4CRHBTWA3AJGXAVKSCK2J2ZVWH}

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.

Cited by

1 paper in Pith

Advances in quantum learning theory with bosonic systems

Receipt and verification

First computed	2026-07-05T12:01:18.864731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0a270cec0d8126b82aa9095a4eb35b1e46f6503e16fe46a59458008774a113d

Aliases

arxiv: 2408.11400 · arxiv_version: 2408.11400v6 · doi: 10.48550/arxiv.2408.11400 · pith_short_12: 4CRHBTWA3AJG · pith_short_16: 4CRHBTWA3AJGXAVK · pith_short_8: 4CRHBTWA

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/4CRHBTWA3AJGXAVKSCK2J2ZVWH \
  | 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: e0a270cec0d8126b82aa9095a4eb35b1e46f6503e16fe46a59458008774a113d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1235daa91b82d8c19251ac39afe4b59b90b815b6ad5eb1d118de4b877f4444db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-08-21T07:51:49Z",
    "title_canon_sha256": "3909950fdfa0efa04ebef819443d4b678372f966dc950e30d90546b898816c77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.11400",
    "kind": "arxiv",
    "version": 6
  }
}