Pith Number

pith:OE5WKMH5

pith:2010:OE5WKMH5MYD53BFJOVKJMJM72M

not attested not anchored not stored refs pending

Fractional variational calculus in terms of a combined Caputo derivative

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1007.0743 v1 · 2010-07-05 · 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{OE5WKMH5MYD53BFJOVKJMJM72M}

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	2026-05-18T04:04:43.795101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713b6530fd6607dd84a9755496259fd30659b87b41142c6ec8de75eb19c9b1cd

Aliases

arxiv: 1007.0743 · arxiv_version: 1007.0743v1 · doi: 10.48550/arxiv.1007.0743 · pith_short_12: OE5WKMH5MYD5 · pith_short_16: OE5WKMH5MYD53BFJ · pith_short_8: OE5WKMH5

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/OE5WKMH5MYD53BFJOVKJMJM72M \
  | 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: 713b6530fd6607dd84a9755496259fd30659b87b41142c6ec8de75eb19c9b1cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "952dee81306bfb538832cb643ad96ad6854f1d49c2bbd01b66d43ff820278702",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-07-05T18:46:54Z",
    "title_canon_sha256": "1cc09db94ae2d1d58db5cc08a3e337a1e20ed1ef8fea7ffe924b9989a921d656"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0743",
    "kind": "arxiv",
    "version": 1
  }
}