Pith Number

pith:G2IL75Y6

pith:2013:G2IL75Y6VLTDXBBDTXSJBPFVWY

not attested not anchored not stored refs pending

Limiting Approach to Generalized Gamma Bessel Model via Fractional Calculus and its Applications in Various Disciplines

Nicy Sebastian

arxiv:1307.7949 v1 · 2013-07-30 · math-ph · math.MP · math.ST · physics.data-an · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2IL75Y6VLTDXBBDTXSJBPFVWY}

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	2026-05-18T03:17:12.883274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3690bff71eaae63b84239de490bcb5b602aac4ae7b669ed6d68d2cd75330d128

Aliases

arxiv: 1307.7949 · arxiv_version: 1307.7949v1 · doi: 10.48550/arxiv.1307.7949 · pith_short_12: G2IL75Y6VLTD · pith_short_16: G2IL75Y6VLTDXBBD · pith_short_8: G2IL75Y6

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/G2IL75Y6VLTDXBBDTXSJBPFVWY \
  | 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: 3690bff71eaae63b84239de490bcb5b602aac4ae7b669ed6d68d2cd75330d128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eeaadd7a21823abf1e56dc4737f2c8131623321bab832b1d8dad76cb81e86bf",
    "cross_cats_sorted": [
      "math.MP",
      "math.ST",
      "physics.data-an",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-30T12:45:41Z",
    "title_canon_sha256": "fe452c0981aa09d0f5c9847d2d79309f18a17f80f4952424330027a5a7a2b439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7949",
    "kind": "arxiv",
    "version": 1
  }
}