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Pith Number

pith:NFJFNXP3

pith:2014:NFJFNXP3WWGN5CQDZ6MQP4AS5T
not attested not anchored not stored refs pending

Modified Dini functions: monotonicity patterns and functional inequalities

\'A. Baricz, S. Ponnusamy, S. Singh

arxiv:1405.4712 v1 · 2014-05-19 · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NFJFNXP3WWGN5CQDZ6MQP4AS5T}

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 2026-05-18T00:40:24.644601Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

695256ddfbb58cde8a03cf9907f012eccc957605bec136b25ea2c9871f47299e

Aliases

arxiv: 1405.4712 · arxiv_version: 1405.4712v1 · doi: 10.48550/arxiv.1405.4712 · pith_short_12: NFJFNXP3WWGN · pith_short_16: NFJFNXP3WWGN5CQD · pith_short_8: NFJFNXP3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NFJFNXP3WWGN5CQDZ6MQP4AS5T \
  | 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: 695256ddfbb58cde8a03cf9907f012eccc957605bec136b25ea2c9871f47299e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "92554953461d5bc09411f3a542d9f1987a0afea451c4216530a1fd77f52fb7b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-05-19T13:17:22Z",
    "title_canon_sha256": "6d287f41d90be9ac8ee88ead1381751356af1b45169cf4162b5d73eb452f4574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4712",
    "kind": "arxiv",
    "version": 1
  }
}