Pith Number

pith:DUIP55QN

pith:2019:DUIP55QN6RDZQRVQW2KYPVFKYH

not attested not anchored not stored refs pending

Incomplete Riemann-Liouville fractional derivative operators and incomplete hypergeometric functions

Ceren Ustao\u{g}lu, Mehmet Ali \"Ozarslan

arxiv:1901.04825 v1 · 2019-01-15 · 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{DUIP55QN6RDZQRVQW2KYPVFKYH}

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	2026-05-17T23:56:21.626180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1d10fef60df4479846b0b69587d4aac1df836b2a10e6b2a1f9bb692144677a31

Aliases

arxiv: 1901.04825 · arxiv_version: 1901.04825v1 · doi: 10.48550/arxiv.1901.04825 · pith_short_12: DUIP55QN6RDZ · pith_short_16: DUIP55QN6RDZQRVQ · pith_short_8: DUIP55QN

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/DUIP55QN6RDZQRVQW2KYPVFKYH \
  | 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: 1d10fef60df4479846b0b69587d4aac1df836b2a10e6b2a1f9bb692144677a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4762fdb23e432b371dfbf5d4ff2a16474bb125e8b807a96a8129fbf0b11101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-15T14:01:56Z",
    "title_canon_sha256": "561e38e8b2dabd126cbb788cebecb603badc55b89129b6868a8531e0580a10ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04825",
    "kind": "arxiv",
    "version": 1
  }
}