Pith Number

pith:J3YZAMQL

pith:2017:J3YZAMQLGWNIHO3JKI3T6WENRQ

not attested not anchored not stored refs pending

Convexity of parameter extensions of some relative operator entropies with a perspective approach

Ismail Nikoufar

arxiv:1706.08047 v1 · 2017-06-25 · 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{J3YZAMQLGWNIHO3JKI3T6WENRQ}

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	2026-05-18T00:41:43.727059Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ef190320b359a83bb6952373f588d8c3103b501ac7cb4cba6c8aa0f642d0547

Aliases

arxiv: 1706.08047 · arxiv_version: 1706.08047v1 · doi: 10.48550/arxiv.1706.08047 · pith_short_12: J3YZAMQLGWNI · pith_short_16: J3YZAMQLGWNIHO3J · pith_short_8: J3YZAMQL

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/J3YZAMQLGWNIHO3JKI3T6WENRQ \
  | 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: 4ef190320b359a83bb6952373f588d8c3103b501ac7cb4cba6c8aa0f642d0547

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a709ef8ddafe75889448f408489fc7abddb4230692cc1a8f8d1450cd0eeef722",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-06-25T07:40:14Z",
    "title_canon_sha256": "cd74c3c98f0181a8264db6723ba2b3848259f0fcb42d77909fe2d25d6b57f839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08047",
    "kind": "arxiv",
    "version": 1
  }
}