Pith Number

pith:XF6GJCJA

pith:2017:XF6GJCJA6HW32VICHXNGS2KD6H

not attested not anchored not stored refs pending

Peierls-Bogolyubov's inequality for deformed exponentials

Frank Hansen, Guanghua Shi, Jin Liang

arxiv:1704.00426 v2 · 2017-04-03 · 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{XF6GJCJA6HW32VICHXNGS2KD6H}

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	2026-05-18T00:38:55.983280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97c648920f1edbd55023dda696943f1ca010d52dc24aeb671f4155a3ade0cec

Aliases

arxiv: 1704.00426 · arxiv_version: 1704.00426v2 · doi: 10.48550/arxiv.1704.00426 · pith_short_12: XF6GJCJA6HW3 · pith_short_16: XF6GJCJA6HW32VIC · pith_short_8: XF6GJCJA

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/XF6GJCJA6HW32VICHXNGS2KD6H \
  | 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: b97c648920f1edbd55023dda696943f1ca010d52dc24aeb671f4155a3ade0cec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897843efa7c1d843a4835c9586e73eeac9d28fae39fc19669bf00a665edd5a36",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-04-03T05:29:02Z",
    "title_canon_sha256": "bc40452d8e96dfa930eb410797539c661fb9c8868ed47c506d2b08358bc717e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00426",
    "kind": "arxiv",
    "version": 2
  }
}