Pith Number

pith:SDQMN66J

pith:2025:SDQMN66J3ZMBYPJ254ZIYCAYO3

not attested not anchored not stored refs pending

About Fractional Calculus and its Applications in Physics

C.F.L. Godinho, J.J.A. de Oliveira

arxiv:2507.04186 v1 · 2025-07-05 · 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{SDQMN66J3ZMBYPJ254ZIYCAYO3}

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	2026-07-05T11:32:43.436842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90e0c6fbc9de581c3d3aef328c081876ec01b39758bfe725a939e3cabbdc19b1

Aliases

arxiv: 2507.04186 · arxiv_version: 2507.04186v1 · doi: 10.48550/arxiv.2507.04186 · pith_short_12: SDQMN66J3ZMB · pith_short_16: SDQMN66J3ZMBYPJ2 · pith_short_8: SDQMN66J

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/SDQMN66J3ZMBYPJ254ZIYCAYO3 \
  | 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: 90e0c6fbc9de581c3d3aef328c081876ec01b39758bfe725a939e3cabbdc19b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ba2e0695668bf13ff04531c2a2436d053bea5eb7f2f4f1ff91aefbf21af2378",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-07-05T23:40:07Z",
    "title_canon_sha256": "0d80bc600325a20895e2b3c909706c84c2a73096f94fef5f36511950df105a77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04186",
    "kind": "arxiv",
    "version": 1
  }
}