Pith Number

pith:J5AFO37B

pith:2019:J5AFO37B32VO2RLVSB4BBBT5Y6

not attested not anchored not stored refs pending

Analytical Development of Incomplete Riemann-Liouville Fractional Calculus

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

arxiv:1904.02577 v1 · 2019-04-04 · 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{J5AFO37B32VO2RLVSB4BBBT5Y6}

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	2026-05-17T23:49:23.259574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f40576fe1deaaed4575907810867dc7b073afb9446fe3a2e003f13489ab7dff

Aliases

arxiv: 1904.02577 · arxiv_version: 1904.02577v1 · doi: 10.48550/arxiv.1904.02577 · pith_short_12: J5AFO37B32VO · pith_short_16: J5AFO37B32VO2RLV · pith_short_8: J5AFO37B

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/J5AFO37B32VO2RLVSB4BBBT5Y6 \
  | 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: 4f40576fe1deaaed4575907810867dc7b073afb9446fe3a2e003f13489ab7dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3863c724aa752d33d0df57ff4e159816d0a40f5604b273d96e11ff6d1ef34139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-04-04T14:28:56Z",
    "title_canon_sha256": "fda954ba7788bccb24618417740b3341473f7190fba21ae8d09a8dbf20cf9741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.02577",
    "kind": "arxiv",
    "version": 1
  }
}