Pith Number

pith:OEPNVZP2

pith:2011:OEPNVZP2PR4FXCRGZMDZTREIMB

not attested not anchored not stored refs pending

Fractional Variational Calculus with Classical and Combined Caputo Derivatives

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

arxiv:1101.2932 v1 · 2011-01-15 · 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{OEPNVZP2PR4FXCRGZMDZTREIMB}

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	2026-05-18T04:08:34.793665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

711edae5fa7c785b8a26cb0799c48860541b8fbc660ee7464ed30aa4f819ac0b

Aliases

arxiv: 1101.2932 · arxiv_version: 1101.2932v1 · doi: 10.48550/arxiv.1101.2932 · pith_short_12: OEPNVZP2PR4F · pith_short_16: OEPNVZP2PR4FXCRG · pith_short_8: OEPNVZP2

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/OEPNVZP2PR4FXCRGZMDZTREIMB \
  | 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: 711edae5fa7c785b8a26cb0799c48860541b8fbc660ee7464ed30aa4f819ac0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d994623fa12e20fd3fb8cff3e67309381cf51e88b5e5446566c26b9514e1009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-01-15T00:35:23Z",
    "title_canon_sha256": "531f0b8b5d3c7a2fe8d0ac6de1898c8517a836499d01cd968ba669d576e0d9b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2932",
    "kind": "arxiv",
    "version": 1
  }
}