Pith Number

pith:6HQTQ26F

pith:2011:6HQTQ26F7X5TTZPZRLUPIHXJO4

not attested not anchored not stored refs pending

Isoperimetric problems of the calculus of variations with fractional derivatives

Delfim F. M. Torres, Ricardo Almeida, Rui A. C. Ferreira

arxiv:1105.2078 v1 · 2011-05-11 · 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{6HQTQ26F7X5TTZPZRLUPIHXJO4}

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	2026-05-18T04:00:28.433820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f1e1386bc5fdfb39e5f98ae8f41ee9770e7af4d82fc814b6d892ed38db71dc49

Aliases

arxiv: 1105.2078 · arxiv_version: 1105.2078v1 · doi: 10.48550/arxiv.1105.2078 · pith_short_12: 6HQTQ26F7X5T · pith_short_16: 6HQTQ26F7X5TTZPZ · pith_short_8: 6HQTQ26F

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/6HQTQ26F7X5TTZPZRLUPIHXJO4 \
  | 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: f1e1386bc5fdfb39e5f98ae8f41ee9770e7af4d82fc814b6d892ed38db71dc49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63c24936baf1fd9d9ba6fcd012467d7b756ecff90b060db784e353ededd62d52",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-05-11T00:11:46Z",
    "title_canon_sha256": "761d192c963f513766e97ca441089be163b8c32e112e58a9bd547db243a372a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2078",
    "kind": "arxiv",
    "version": 1
  }
}