Pith Number

pith:VJY6HIXS

pith:2016:VJY6HIXSMIA3V6APWW6DPC77C2

not attested not anchored not stored refs pending

Generalized Fractional Kinetic Equations Involving the generalized modified $k$-Bessel function

J. Choi, K. S. Nisar

arxiv:1612.03267 v2 · 2016-12-10 · 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{VJY6HIXSMIA3V6APWW6DPC77C2}

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	2026-05-18T00:54:47.089932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa71e3a2f26201baf80fb5bc378bff168541e604f0550ad684b1f0247fe7b05b

Aliases

arxiv: 1612.03267 · arxiv_version: 1612.03267v2 · doi: 10.48550/arxiv.1612.03267 · pith_short_12: VJY6HIXSMIA3 · pith_short_16: VJY6HIXSMIA3V6AP · pith_short_8: VJY6HIXS

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/VJY6HIXSMIA3V6APWW6DPC77C2 \
  | 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: aa71e3a2f26201baf80fb5bc378bff168541e604f0550ad684b1f0247fe7b05b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb77733a388650b26d65af1368a1c8486ff5425c15a9c88cc479997296eb546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-10T08:21:58Z",
    "title_canon_sha256": "9a38849dc5e584a95f2e776b732e2242145a5ce4a862b28a6dedb65461c11e71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03267",
    "kind": "arxiv",
    "version": 2
  }
}