Pith Number

pith:Y3SYVYYO

pith:2013:Y3SYVYYOOQE2XX7SPG6I7LQUV4

not attested not anchored not stored refs pending

A Generalized Fractional Calculus of Variations

Agnieszka B. Malinowska, Delfim F. M. Torres, Tatiana Odzijewicz

arxiv:1304.5282 v1 · 2013-04-18 · math.OC · 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{Y3SYVYYOOQE2XX7SPG6I7LQUV4}

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	2026-05-18T03:11:35.748173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6e58ae30e7409abdff279bc8fae14af326fe875d4d20c18f99a94df6fb02261

Aliases

arxiv: 1304.5282 · arxiv_version: 1304.5282v1 · doi: 10.48550/arxiv.1304.5282 · pith_short_12: Y3SYVYYOOQE2 · pith_short_16: Y3SYVYYOOQE2XX7S · pith_short_8: Y3SYVYYO

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/Y3SYVYYOOQE2XX7SPG6I7LQUV4 \
  | 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: c6e58ae30e7409abdff279bc8fae14af326fe875d4d20c18f99a94df6fb02261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5657b75e4549b2e18442906f3a2bb72e9d7dff8a97b80366d111f8c1f9ddfd44",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-18T23:32:38Z",
    "title_canon_sha256": "7dc159447930680d467b2f2872a7d78530a0a7ed405f9841cfe861c9b7fffeff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5282",
    "kind": "arxiv",
    "version": 1
  }
}