Pith Number

pith:I4X6MX6Q

pith:2014:I4X6MX6QKIZ76RCF6U5SODK4GU

not attested not anchored not stored refs pending

Operator theoretic approach to the Caputo derivative and the fractional diffusion equations

Masahiro Yamamoto, Rudolf Gorenflo, Yuri Luchko

arxiv:1411.7289 v1 · 2014-11-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I4X6MX6QKIZ76RCF6U5SODK4GU}

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	2026-05-18T02:32:44.765058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

472fe65fd05233ff4445f53b270d5c351e774e890330397589cdd4da56cbf9fe

Aliases

arxiv: 1411.7289 · arxiv_version: 1411.7289v1 · doi: 10.48550/arxiv.1411.7289 · pith_short_12: I4X6MX6QKIZ7 · pith_short_16: I4X6MX6QKIZ76RCF · pith_short_8: I4X6MX6Q

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/I4X6MX6QKIZ76RCF6U5SODK4GU \
  | 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: 472fe65fd05233ff4445f53b270d5c351e774e890330397589cdd4da56cbf9fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4f9a7bdc8d0ee314d02b5cbc2de755c18daa74e9c0109b62152b72d9e5f2175",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-26T16:28:31Z",
    "title_canon_sha256": "406de05981627d6919a55e21067dc8053de1038d24fdd6d25c9d8fb6f82b4b9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7289",
    "kind": "arxiv",
    "version": 1
  }
}