Pith Number

pith:427ANXLN

pith:2012:427ANXLNMWMMZ6QUTB3T3SMGBV

not attested not anchored not stored refs pending

A new generalization of some integral inequalities and their applications

Imdat Iscan

arxiv:1207.1828 v2 · 2012-07-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{427ANXLNMWMMZ6QUTB3T3SMGBV}

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	2026-05-18T03:49:57.753979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6be06dd6d6598ccfa1498773dc9860d453793783963438bf9725f8c5da2cfae

Aliases

arxiv: 1207.1828 · arxiv_version: 1207.1828v2 · doi: 10.48550/arxiv.1207.1828 · pith_short_12: 427ANXLNMWMM · pith_short_16: 427ANXLNMWMMZ6QU · pith_short_8: 427ANXLN

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/427ANXLNMWMMZ6QUTB3T3SMGBV \
  | 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: e6be06dd6d6598ccfa1498773dc9860d453793783963438bf9725f8c5da2cfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92708c63679082c6b8ce751a771cc3cb97a6aa7bbaf373f3105c952ab679a541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-07-07T20:46:33Z",
    "title_canon_sha256": "27c76146beff0160a15f6bddd80a9d6381dcdc13e9d7ce5b26c2a99c43c538f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1828",
    "kind": "arxiv",
    "version": 2
  }
}