Pith Number

pith:K23KWHCY

pith:2016:K23KWHCY42XNUH2GP3PA25GE2F

not attested not anchored not stored refs pending

On the limit relation for the quantum relative entropy

A. B. Frigyik, J. Z. Bern\'ad

arxiv:1612.01179 v2 · 2016-12-04 · math-ph · math.MP · 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{K23KWHCY42XNUH2GP3PA25GE2F}

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	2026-05-18T00:42:23.685510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b6ab1c58e6aeda1f467ede0d74c4d17b609acf0277fbe4a32db94de95ad372

Aliases

arxiv: 1612.01179 · arxiv_version: 1612.01179v2 · doi: 10.48550/arxiv.1612.01179 · pith_short_12: K23KWHCY42XN · pith_short_16: K23KWHCY42XNUH2G · pith_short_8: K23KWHCY

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/K23KWHCY42XNUH2GP3PA25GE2F \
  | 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: 56b6ab1c58e6aeda1f467ede0d74c4d17b609acf0277fbe4a32db94de95ad372

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1419ea34776df2a374dd4a018bdcdd6a31e1d47fd3985fcc5d57e02a68c80668",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-04T21:06:32Z",
    "title_canon_sha256": "c61148876902762b1097bbc5c2d5b78a3385d86841dc5fe4e47592780a9462b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01179",
    "kind": "arxiv",
    "version": 2
  }
}