Pith Number

pith:IPVNUVFQ

pith:2010:IPVNUVFQ3UPK3DFWU6TF4XNV6I

not attested not anchored not stored refs pending

Fractional Derivatives and Integrals on Time Scales via the Inverse Generalized Laplace Transform

Delfim F. M. Torres, Dorota Mozyrska, Nuno R. O. Bastos

arxiv:1012.1555 v1 · 2010-12-07 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPVNUVFQ3UPK3DFWU6TF4XNV6I}

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	2026-05-18T04:34:00.947735Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43eada54b0dd1ead8cb6a7a65e5db5f21a78b7c7477c9d085931124293df5794

Aliases

arxiv: 1012.1555 · arxiv_version: 1012.1555v1 · doi: 10.48550/arxiv.1012.1555 · pith_short_12: IPVNUVFQ3UPK · pith_short_16: IPVNUVFQ3UPK3DFW · pith_short_8: IPVNUVFQ

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/IPVNUVFQ3UPK3DFWU6TF4XNV6I \
  | 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: 43eada54b0dd1ead8cb6a7a65e5db5f21a78b7c7477c9d085931124293df5794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3420f568b9afa85d93743ad0985509926841e4d79d40d58408b7b00058bde765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-07T17:13:28Z",
    "title_canon_sha256": "c8e82ad1799a3dfb4bc07e837d11da7817e3b206a11cbcecd2bd395eb2570d0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1555",
    "kind": "arxiv",
    "version": 1
  }
}