Pith Number

pith:VBG7IPBB

pith:2010:VBG7IPBBN3QZ5FVNIXUMDNQFA4

not attested not anchored not stored refs pending

The contingent epiderivative and the calculus of variations on time scales

Agnieszka B. Malinowska, Delfim F. M. Torres, Ewa Girejko

arxiv:1007.0509 v1 · 2010-07-03 · 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{VBG7IPBBN3QZ5FVNIXUMDNQFA4}

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	2026-05-18T04:03:19.548692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a84df43c216ee19e96ad45e8c1b605070adaa358ecbb1c819d2903b99f1585c6

Aliases

arxiv: 1007.0509 · arxiv_version: 1007.0509v1 · doi: 10.48550/arxiv.1007.0509 · pith_short_12: VBG7IPBBN3QZ · pith_short_16: VBG7IPBBN3QZ5FVN · pith_short_8: VBG7IPBB

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/VBG7IPBBN3QZ5FVNIXUMDNQFA4 \
  | 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: a84df43c216ee19e96ad45e8c1b605070adaa358ecbb1c819d2903b99f1585c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69eee4217b273ac114905184f4f9b30f29c043cd3c8ab09a72e82babb0ee9ae8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-07-03T19:02:26Z",
    "title_canon_sha256": "24bc1aae455105c212bc384865a1017a648e8d07fc5427c7ecc97994fa5aa79f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0509",
    "kind": "arxiv",
    "version": 1
  }
}