Pith Number

pith:WESPG5FH

pith:2010:WESPG5FHMP6HFQV3JAJA2C7GAH

not attested not anchored not stored refs pending

Direct and inverse conversion formulas associated with Khabibullin's conjecture for integral inequalities

Ruslan Sharipov

arxiv:1008.1572 v1 · 2010-08-09 · math.CA · 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{WESPG5FHMP6HFQV3JAJA2C7GAH}

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	2026-05-18T04:42:24.029058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b124f374a763fc72c2bb48120d0be601e21aeefb72493a98e8e337318adc29e0

Aliases

arxiv: 1008.1572 · arxiv_version: 1008.1572v1 · doi: 10.48550/arxiv.1008.1572 · pith_short_12: WESPG5FHMP6H · pith_short_16: WESPG5FHMP6HFQV3 · pith_short_8: WESPG5FH

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/WESPG5FHMP6HFQV3JAJA2C7GAH \
  | 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: b124f374a763fc72c2bb48120d0be601e21aeefb72493a98e8e337318adc29e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "982c3467ce3a08e3dbb98823b51fb923fc8d482a114fadfa7083d04f3a858c7c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-08-09T19:35:36Z",
    "title_canon_sha256": "204c9708524b8b271847c496deb2e9fbb3e99b46b72b09adfcc858def2ceeb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1572",
    "kind": "arxiv",
    "version": 1
  }
}