Pith Number

pith:JBDRQM3S

pith:2012:JBDRQM3SBSTS4QJKGH7OQBUYJQ

not attested not anchored not stored refs pending

Fractional Calculus of Variations in Terms of a Generalized Fractional Integral with Applications to Physics

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

arxiv:1203.1961 v1 · 2012-03-08 · 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{JBDRQM3SBSTS4QJKGH7OQBUYJQ}

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	2026-05-18T03:55:46.434413Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48471833720ca72e412a31fee806984c3250aed27e568be4cb45ac168bb1aa4d

Aliases

arxiv: 1203.1961 · arxiv_version: 1203.1961v1 · doi: 10.48550/arxiv.1203.1961 · pith_short_12: JBDRQM3SBSTS · pith_short_16: JBDRQM3SBSTS4QJK · pith_short_8: JBDRQM3S

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/JBDRQM3SBSTS4QJKGH7OQBUYJQ \
  | 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: 48471833720ca72e412a31fee806984c3250aed27e568be4cb45ac168bb1aa4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da810a0a8bef89150ceec1a51e8bb9490b70cf7dd5af164dae002f0a72bf85c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-08T23:32:09Z",
    "title_canon_sha256": "7647cc3f96cf83fc00c21958e7cc3f513338b28c65c070a7e042c724b54182b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1961",
    "kind": "arxiv",
    "version": 1
  }
}