Pith Number

pith:7AFJWXJF

pith:2013:7AFJWXJF5CBCONTRARQQTKPSR3

not attested not anchored not stored refs pending

New Integral Inequalities through generalized convex functions

Ahsan Ali, Muhammad Muddassar

arxiv:1308.3954 v1 · 2013-08-19 · 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{7AFJWXJF5CBCONTRARQQTKPSR3}

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	2026-05-18T03:15:35.194673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80a9b5d25e882273671046109a9f28eed5f4951a4dc39c172ed3dd2f5baa4b5

Aliases

arxiv: 1308.3954 · arxiv_version: 1308.3954v1 · doi: 10.48550/arxiv.1308.3954 · pith_short_12: 7AFJWXJF5CBC · pith_short_16: 7AFJWXJF5CBCONTR · pith_short_8: 7AFJWXJF

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/7AFJWXJF5CBCONTRARQQTKPSR3 \
  | 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: f80a9b5d25e882273671046109a9f28eed5f4951a4dc39c172ed3dd2f5baa4b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deadcf7dad664ea5f18095d134ed4659535b6a1cfb85f7fec5c014ae2ac9b8a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-19T08:23:37Z",
    "title_canon_sha256": "0e5f11c2c64d07b9d144e68da6679943f43ce84f53b9b10725b6118bebe31384"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3954",
    "kind": "arxiv",
    "version": 1
  }
}