Pith Number

pith:DNDC5BPO

pith:2010:DNDC5BPOJLDOAOZMQMM6FVYYS5

not attested not anchored not stored refs pending

Integral Inequalities and their Applications to the Calculus of Variations on Time Scales

Delfim F. M. Torres, Martin J. Bohner, Rui A. C. Ferreira

arxiv:1001.3762 v1 · 2010-01-21 · math.OC · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DNDC5BPOJLDOAOZMQMM6FVYYS5}

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	2026-05-18T03:41:42.389721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b462e85ee4ac6e03b2c8319e2d718974189755e1c81071990d1040811bd681b

Aliases

arxiv: 1001.3762 · arxiv_version: 1001.3762v1 · doi: 10.48550/arxiv.1001.3762 · pith_short_12: DNDC5BPOJLDO · pith_short_16: DNDC5BPOJLDOAOZM · pith_short_8: DNDC5BPO

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/DNDC5BPOJLDOAOZMQMM6FVYYS5 \
  | 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: 1b462e85ee4ac6e03b2c8319e2d718974189755e1c81071990d1040811bd681b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2a06d39ec9d1d4b66d4c2e891b37b010e129aab925f563bc172aa52d21f3fa5",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-21T10:33:21Z",
    "title_canon_sha256": "c599746b9ae4a93164a2a4694df77be5ab7ce92704bcc0f32c15bf6d44ca39e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3762",
    "kind": "arxiv",
    "version": 1
  }
}