Pith Number

pith:WQNUMSEV

pith:2010:WQNUMSEV6UP5TXVF5Q4WDBYWIS

not attested not anchored not stored refs pending

Optimality conditions for the calculus of variations with higher-order delta derivatives

Agnieszka B. Malinowska, Delfim F. M. Torres, Rui A. C. Ferreira

arxiv:1008.1504 v1 · 2010-08-09 · 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{WQNUMSEV6UP5TXVF5Q4WDBYWIS}

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	2026-05-18T04:39:59.030808Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41b464895f51fd9dea5ec3961871644979bdddb22e8ce204a03de16d90efb2d

Aliases

arxiv: 1008.1504 · arxiv_version: 1008.1504v1 · doi: 10.48550/arxiv.1008.1504 · pith_short_12: WQNUMSEV6UP5 · pith_short_16: WQNUMSEV6UP5TXVF · pith_short_8: WQNUMSEV

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/WQNUMSEV6UP5TXVF5Q4WDBYWIS \
  | 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: b41b464895f51fd9dea5ec3961871644979bdddb22e8ce204a03de16d90efb2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6f044f477e1cfd1af62ce492333f66d79d101633ad79678a35c5c09a2347e57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-08-09T13:51:27Z",
    "title_canon_sha256": "0f101a624e0be3485924b330027515e0959376a4c863a6d0bfcaf91d90107a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1504",
    "kind": "arxiv",
    "version": 1
  }
}