Pith Number

pith:NLMQKVE7

pith:2018:NLMQKVE77EQMHU5WPU7PYPUB6X

not attested not anchored not stored refs pending

An Application of the $S$-Functional Calculus to Fractional Diffusion Processes

Fabrizio Colombo, Jonathan Gantner

arxiv:1803.10528 v1 · 2018-03-28 · math.SP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NLMQKVE77EQMHU5WPU7PYPUB6X}

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	2026-05-18T00:19:48.797909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad905549ff920c3d3b67d3efc3e81f5f8fbdddda5aef7a6038fc59c8556ffae

Aliases

arxiv: 1803.10528 · arxiv_version: 1803.10528v1 · doi: 10.48550/arxiv.1803.10528 · pith_short_12: NLMQKVE77EQM · pith_short_16: NLMQKVE77EQMHU5W · pith_short_8: NLMQKVE7

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/NLMQKVE77EQMHU5WPU7PYPUB6X \
  | 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: 6ad905549ff920c3d3b67d3efc3e81f5f8fbdddda5aef7a6038fc59c8556ffae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a98bf3cf7ec3538672d9416bd61346fc81f4228e1c659d9d5ac2e1fc0569cac2",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-28T11:13:21Z",
    "title_canon_sha256": "fbc4caba9a2516abd9e044ba99bbbdcaaa22f407936fb13f0d2824341f871af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10528",
    "kind": "arxiv",
    "version": 1
  }
}