Pith Number

pith:UIZ4DINQ

pith:2012:UIZ4DINQ6MYNHKDFPXMOL6KBTU

not attested not anchored not stored refs pending

Variable Order Fractional Variational Calculus for Double Integrals

Agnieszka B. Malinowska, Delfim F. M. Torres, Tatiana Odzijewicz

arxiv:1209.1345 v1 · 2012-09-06 · 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{UIZ4DINQ6MYNHKDFPXMOL6KBTU}

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	2026-05-18T03:34:02.954754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a233c1a1b0f330d3a8657dd8e5f9419d27d5aba0909b90d0d70407e8e89db333

Aliases

arxiv: 1209.1345 · arxiv_version: 1209.1345v1 · doi: 10.48550/arxiv.1209.1345 · pith_short_12: UIZ4DINQ6MYN · pith_short_16: UIZ4DINQ6MYNHKDF · pith_short_8: UIZ4DINQ

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/UIZ4DINQ6MYNHKDFPXMOL6KBTU \
  | 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: a233c1a1b0f330d3a8657dd8e5f9419d27d5aba0909b90d0d70407e8e89db333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b26d19873c1d64df0a425e38abd9eb32317f01309769a60d6fe6acacbe6d0e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-09-06T17:14:28Z",
    "title_canon_sha256": "fbd639f69780f11bd18db2b5816c0d1c08577d7cd1b20c50735b10839745c192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1345",
    "kind": "arxiv",
    "version": 1
  }
}