Pith Number

pith:IFIWVSQV

pith:2013:IFIWVSQVUCP3B22ZH2ZSHRLFEP

not attested not anchored not stored refs pending

Fractional Calculus of Variations of Several Independent Variables

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

arxiv:1308.4585 v1 · 2013-08-21 · math-ph · math.MP · 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{IFIWVSQVUCP3B22ZH2ZSHRLFEP}

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	2026-05-18T03:10:45.574502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41516aca15a09fb0eb593eb323c56523e31bffec6082b57e9b5ac2b34add8658

Aliases

arxiv: 1308.4585 · arxiv_version: 1308.4585v1 · doi: 10.48550/arxiv.1308.4585 · pith_short_12: IFIWVSQVUCP3 · pith_short_16: IFIWVSQVUCP3B22Z · pith_short_8: IFIWVSQV

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/IFIWVSQVUCP3B22ZH2ZSHRLFEP \
  | 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: 41516aca15a09fb0eb593eb323c56523e31bffec6082b57e9b5ac2b34add8658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05a913461585f1815283aefea51b05947e918258543078719bb26274a69d0663",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-21T14:07:21Z",
    "title_canon_sha256": "d812a9c826d295497cb07d14983e8f3c4034f64a4fb79588d3d1a3fd2da2649b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4585",
    "kind": "arxiv",
    "version": 1
  }
}