Pith Number

pith:JU53DXBT

pith:2012:JU53DXBTISUYE2UP7HRDTOXZDH

not attested not anchored not stored refs pending

The Delta-nabla Calculus of Variations for Composition Functionals on Time Scales

Delfim F. M. Torres, Monika Dryl

arxiv:1211.4368 v1 · 2012-11-19 · 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{JU53DXBTISUYE2UP7HRDTOXZDH}

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	2026-05-18T03:21:10.468881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d3bb1dc3344a9826a8ff9e239baf919e22b69746b63f58f40a0f1d4f4a9b024

Aliases

arxiv: 1211.4368 · arxiv_version: 1211.4368v1 · doi: 10.48550/arxiv.1211.4368 · pith_short_12: JU53DXBTISUY · pith_short_16: JU53DXBTISUYE2UP · pith_short_8: JU53DXBT

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/JU53DXBTISUYE2UP7HRDTOXZDH \
  | 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: 4d3bb1dc3344a9826a8ff9e239baf919e22b69746b63f58f40a0f1d4f4a9b024

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c32afd38b005ecd918a9821ba0d4fcde13eda5bfee6f4f35f9f66cc56cf5ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-11-19T11:41:01Z",
    "title_canon_sha256": "cc549ae99b3ecbec04aa1a35be777972a2628533ed564c1d958e9d49c59210a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4368",
    "kind": "arxiv",
    "version": 1
  }
}