Pith Number

pith:CCY25PJK

pith:2016:CCY25PJKTZF3LRIPM4BYXXGYSK

not attested not anchored not stored refs pending

Confluent Hypergeometric Equation via Fractional Calculus Approach

Edmundo C. Oliveira, Fabio G. Rodrigues

arxiv:1612.07573 v1 · 2016-12-22 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCY25PJKTZF3LRIPM4BYXXGYSK}

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	2026-05-18T00:54:09.718535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10b1aebd2a9e4bb5c50f67038bdcd892a777c359969052aaa3eeb533bc2d9d2a

Aliases

arxiv: 1612.07573 · arxiv_version: 1612.07573v1 · doi: 10.48550/arxiv.1612.07573 · pith_short_12: CCY25PJKTZF3 · pith_short_16: CCY25PJKTZF3LRIP · pith_short_8: CCY25PJK

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/CCY25PJKTZF3LRIPM4BYXXGYSK \
  | 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: 10b1aebd2a9e4bb5c50f67038bdcd892a777c359969052aaa3eeb533bc2d9d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e7523827d075a31d436f36f5c0a189fe124d888b85c8caa4540a7e9d8e5aff1",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-12-22T12:27:54Z",
    "title_canon_sha256": "a3001ab47df304efc60c37bd6043a3113426e0707303f9a82fcf039a72e46386"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07573",
    "kind": "arxiv",
    "version": 1
  }
}