Pith Number

pith:3PU44DY4

pith:2026:3PU44DY4IDO5NOZMKF6E6ZSFDV

not attested not anchored not stored refs pending

A canonical two-scale Sonine fractional calculus induced by the Tricomi function

Ivano Colombaro, Marc Tudela-Pi

arxiv:2607.12534 v1 · 2026-07-14 · 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{3PU44DY4IDO5NOZMKF6E6ZSFDV}

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	2026-07-15T01:21:40.454014Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe9ce0f1c40ddd6bb2c517c4f66451d5b0f6b675d122084f2587bb7be25b0ae

Aliases

arxiv: 2607.12534 · arxiv_version: 2607.12534v1 · doi: 10.48550/arxiv.2607.12534 · pith_short_12: 3PU44DY4IDO5 · pith_short_16: 3PU44DY4IDO5NOZM · pith_short_8: 3PU44DY4

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/3PU44DY4IDO5NOZMKF6E6ZSFDV \
  | 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: dbe9ce0f1c40ddd6bb2c517c4f66451d5b0f6b675d122084f2587bb7be25b0ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54cfc4f961634cada7957e01ecdb9ecdc389c562cc1fdebbf736caa227c451c0",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-14T09:08:22Z",
    "title_canon_sha256": "c46052556ac8e0d86b29a378d596702d74861077dd671237f1505f407fdbe573"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12534",
    "kind": "arxiv",
    "version": 1
  }
}