Pith Number

pith:5YV47DGD

pith:2011:5YV47DGDAVYVR3LVNABGVGELUO

not attested not anchored not stored refs pending

Multiobjective fractional variational calculus in terms of a combined Caputo derivative

Agnieszka B. Malinowska, Delfim F. M. Torres

arxiv:1110.6666 v1 · 2011-10-31 · 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{5YV47DGDAVYVR3LVNABGVGELUO}

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	2026-05-18T04:06:18.875681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee2bcf8cc3057158ed7568026a988ba3a58e628c8e90d756117da850cc3410f1

Aliases

arxiv: 1110.6666 · arxiv_version: 1110.6666v1 · doi: 10.48550/arxiv.1110.6666 · pith_short_12: 5YV47DGDAVYV · pith_short_16: 5YV47DGDAVYVR3LV · pith_short_8: 5YV47DGD

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/5YV47DGDAVYVR3LVNABGVGELUO \
  | 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: ee2bcf8cc3057158ed7568026a988ba3a58e628c8e90d756117da850cc3410f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5db3453c337a5c64737076af56f12b30c725d8fd5bec9eb001e059c3a5406297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-31T00:05:04Z",
    "title_canon_sha256": "1aaf452b59c971cd58fc60fb15e96239cd38932432148a8b8a2d439a5ea216bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6666",
    "kind": "arxiv",
    "version": 1
  }
}