Pith Number

pith:BFJN7U5U

pith:2025:BFJN7U5UJP4UQOFWMU3HYZGR33

not attested not anchored not stored refs pending

Accelerated optimization of measured relative entropies

Mark M. Wilde, Zixin Huang

arxiv:2511.17976 v2 · 2025-11-22 · quant-ph · cs.IT · math-ph · math.IT · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BFJN7U5UJP4UQOFWMU3HYZGR33}

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	2026-07-31T01:32:57.630933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

0952dfd3b44bf94838b665367c64d1ded8c48126621e8f94c4dfae559b26eacf

Aliases

arxiv: 2511.17976 · arxiv_version: 2511.17976v2 · doi: 10.48550/arxiv.2511.17976 · pith_short_12: BFJN7U5UJP4U · pith_short_16: BFJN7U5UJP4UQOFW · pith_short_8: BFJN7U5U

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/BFJN7U5UJP4UQOFWMU3HYZGR33 \
  | 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: 0952dfd3b44bf94838b665367c64d1ded8c48126621e8f94c4dfae559b26eacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e191ab89524bb7a2af4f2941685a74462ce1547da517b5dfdec23b641bc802",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-11-22T08:35:40Z",
    "title_canon_sha256": "510224b3a94ce70b834f74abe4c4d2c6655f6df706ee9ef820dc8f738f97ea13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2511.17976",
    "kind": "arxiv",
    "version": 2
  }
}