Pith Number

pith:VD7UFQYP

pith:2010:VD7UFQYPA4YC4WQMHZQBJ35EDF

not attested not anchored not stored refs pending

A unified approach to the calculus of variations on time scales

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

arxiv:1005.4581 v1 · 2010-05-25 · 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{VD7UFQYPA4YC4WQMHZQBJ35EDF}

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	2026-05-18T04:41:44.760120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ff42c30f07302e5a0c3e6014efa4197f9df1ddaf24658e998e11294341e984

Aliases

arxiv: 1005.4581 · arxiv_version: 1005.4581v1 · doi: 10.48550/arxiv.1005.4581 · pith_short_12: VD7UFQYPA4YC · pith_short_16: VD7UFQYPA4YC4WQM · pith_short_8: VD7UFQYP

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/VD7UFQYPA4YC4WQMHZQBJ35EDF \
  | 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: a8ff42c30f07302e5a0c3e6014efa4197f9df1ddaf24658e998e11294341e984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f528b4b786a653e38b2587e6aafdaa533ba414b489040a715cb7c52b183c968c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-05-25T14:11:38Z",
    "title_canon_sha256": "2a0e6f4f958a126cade642de8ccc14ac0979aac8aa8a097e5d187bf62f172c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4581",
    "kind": "arxiv",
    "version": 1
  }
}