Pith Number

pith:TC6QI2OC

pith:2017:TC6QI2OC2QZXPFH2LFOWHPRPSK

not attested not anchored not stored refs pending

Maps on positive operators preserving R\'enyi type relative entropies and maximal $f$-divergences

Gerg\H{o} Nagy, Marcell Ga\'al

arxiv:1703.05244 v1 · 2017-03-15 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TC6QI2OC2QZXPFH2LFOWHPRPSK}

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	2026-05-18T00:30:05.325225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450

Aliases

arxiv: 1703.05244 · arxiv_version: 1703.05244v1 · doi: 10.48550/arxiv.1703.05244 · pith_short_12: TC6QI2OC2QZX · pith_short_16: TC6QI2OC2QZXPFH2 · pith_short_8: TC6QI2OC

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/TC6QI2OC2QZXPFH2LFOWHPRPSK \
  | 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: 98bd0469c2d4337794fa595d63be2f92ace848e1172fbca47abff66296021450

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a8bf66b1121fc6f41dd03d4ec72b3583abd1223fb0d203f1e20415edcbc2d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-03-15T16:35:39Z",
    "title_canon_sha256": "6713550cba5a13da33001e3fae9e6baa52bc50bda5d16bf3996259e067f7a30f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05244",
    "kind": "arxiv",
    "version": 1
  }
}