Pith Number

pith:IQE6OWO4

pith:2010:IQE6OWO4MBCMRHO67JEWNGYVWF

not attested not anchored not stored refs pending

Composition Functionals in Fractional Calculus of Variations

Agnieszka B. Malinowska, Delfim F. M. Torres, Moulay Rchid Sidi Ammi

arxiv:1009.2671 v2 · 2010-09-14 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQE6OWO4MBCMRHO67JEWNGYVWF}

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	2026-05-18T04:40:46.097890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4409e759dc6044c89ddefa49669b15b17c0c808ed4c315d3f79e903888127ed8

Aliases

arxiv: 1009.2671 · arxiv_version: 1009.2671v2 · doi: 10.48550/arxiv.1009.2671 · pith_short_12: IQE6OWO4MBCM · pith_short_16: IQE6OWO4MBCMRHO6 · pith_short_8: IQE6OWO4

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/IQE6OWO4MBCMRHO67JEWNGYVWF \
  | 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: 4409e759dc6044c89ddefa49669b15b17c0c808ed4c315d3f79e903888127ed8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b0234e5b0684014961ed94cab69ca8e843c55ce110771f5936f2c4cf83cfa62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-09-14T14:02:36Z",
    "title_canon_sha256": "3d66e97280eeb623c9aed1387180428e64598cdfae2f5de1ac6ba961f4642a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2671",
    "kind": "arxiv",
    "version": 2
  }
}