Pith Number

pith:TAGLEXRU

pith:2016:TAGLEXRUT7V5H352M6CUBUR2EI

not attested not anchored not stored refs pending

A monotonicity result for the $q-$fractional operator

Bahaaeldin Abdalla, Juan J. Nieto, Thabet Abdeljawad

arxiv:1602.07713 v1 · 2016-02-24 · 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{TAGLEXRUT7V5H352M6CUBUR2EI}

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	2026-05-18T01:04:28.041626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

980cb25e349febd3efba678540d23a220790f9c8193dea83abec85c24c02219c

Aliases

arxiv: 1602.07713 · arxiv_version: 1602.07713v1 · doi: 10.48550/arxiv.1602.07713 · pith_short_12: TAGLEXRUT7V5 · pith_short_16: TAGLEXRUT7V5H352 · pith_short_8: TAGLEXRU

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/TAGLEXRUT7V5H352M6CUBUR2EI \
  | 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: 980cb25e349febd3efba678540d23a220790f9c8193dea83abec85c24c02219c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2dd5d0f1aa97172fbe1d608a6f1c43f37f61b2a8fa06325eeaaeebd2d25f304",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-02-24T21:12:06Z",
    "title_canon_sha256": "8ce3e4bee46b43ed258b75d3c96dd3af1ff461cac2a5aa7d23d325e59671301f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07713",
    "kind": "arxiv",
    "version": 1
  }
}