Pith Number

pith:NPSFP3QL

pith:2015:NPSFP3QLBODYHHHGGLI7TEJS4C

not attested not anchored not stored refs pending

Note on a Family of Monotone Quantum Relative Entropies

Andreas Deuchert, Christian Hainzl, Robert Seiringer

arxiv:1502.07205 v3 · 2015-02-25 · math-ph · math.FA · 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{NPSFP3QLBODYHHHGGLI7TEJS4C}

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	2026-05-18T00:54:48.312087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6be457ee0b0b87839ce632d1f99132e09a6b8f7bd9fc5f811d88371f22bb7dc9

Aliases

arxiv: 1502.07205 · arxiv_version: 1502.07205v3 · doi: 10.48550/arxiv.1502.07205 · pith_short_12: NPSFP3QLBODY · pith_short_16: NPSFP3QLBODYHHHG · pith_short_8: NPSFP3QL

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/NPSFP3QLBODYHHHGGLI7TEJS4C \
  | 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: 6be457ee0b0b87839ce632d1f99132e09a6b8f7bd9fc5f811d88371f22bb7dc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49780c48041562743e630b3aea71c584a8cfa0af2875fe2f92329fb20b98966b",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-02-25T15:39:32Z",
    "title_canon_sha256": "b03def87c9540bc7dba5f9a854012d02c2f557b0acf2b8abd13ccc72b58a6a79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07205",
    "kind": "arxiv",
    "version": 3
  }
}