Pith Number

pith:LPPEZV65

pith:2011:LPPEZV65QXFQ6DUYNYVOEIXAAK

not attested not anchored not stored refs pending

Fractional Calculus of Variations for Double Integrals

Delfim F. M. Torres, Tatiana Odzijewicz

arxiv:1102.1337 v1 · 2011-02-07 · 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{LPPEZV65QXFQ6DUYNYVOEIXAAK}

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	2026-05-18T04:25:10.761910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bde4cd7dd85cb0f0e986e2ae222e002a40e252741c5488ef6c76129c0246009

Aliases

arxiv: 1102.1337 · arxiv_version: 1102.1337v1 · doi: 10.48550/arxiv.1102.1337 · pith_short_12: LPPEZV65QXFQ · pith_short_16: LPPEZV65QXFQ6DUY · pith_short_8: LPPEZV65

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/LPPEZV65QXFQ6DUYNYVOEIXAAK \
  | 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: 5bde4cd7dd85cb0f0e986e2ae222e002a40e252741c5488ef6c76129c0246009

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2767589ef19796fa9919a4ed0ad065f93e13cab8a4779805187729a245c757a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-02-07T15:38:21Z",
    "title_canon_sha256": "9828924645af1375807a97e41c3dd106141195b40860e929fcc962ed22cc6e75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1337",
    "kind": "arxiv",
    "version": 1
  }
}