Pith Number

pith:UDFKVQO5

pith:2026:UDFKVQO5X5VQ2YOINO72J3C7GU

not attested not anchored not stored refs pending

Sharp continuity of quantum conditional entropy

Gereon Kossmann, Julius A. Zeiss, Ludovico Lami, Mario Berta, Pablo Costa Rico

arxiv:2607.24687 v1 · 2026-07-27 · 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{UDFKVQO5X5VQ2YOINO72J3C7GU}

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	2026-07-28T02:24:22.501627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0caaac1ddbf6b0d61c86bbfa4ec5f351f0e9f1626c44fddf4faf7ee91ca10a1

Aliases

arxiv: 2607.24687 · arxiv_version: 2607.24687v1 · doi: 10.48550/arxiv.2607.24687 · pith_short_12: UDFKVQO5X5VQ · pith_short_16: UDFKVQO5X5VQ2YOI · pith_short_8: UDFKVQO5

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/UDFKVQO5X5VQ2YOINO72J3C7GU \
  | 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: a0caaac1ddbf6b0d61c86bbfa4ec5f351f0e9f1626c44fddf4faf7ee91ca10a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66bae3b76b6a49c72a8f5cb9c9b565e2269294a7d24576abbba976420be456ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-27T17:26:52Z",
    "title_canon_sha256": "0700fa984c4ef36bb612ee3e4cb8c177e8c2a3906c97d4aab1844e73166cd1c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.24687",
    "kind": "arxiv",
    "version": 1
  }
}