Pith Number

pith:S2GOSHIG

pith:2011:S2GOSHIGFYZBFVUGIDH3D54KXT

not attested not anchored not stored refs pending

Fractional variational calculus of variable order

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

arxiv:1110.4141 v2 · 2011-10-18 · 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{S2GOSHIGFYZBFVUGIDH3D54KXT}

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	2026-05-18T03:34:25.653913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

968ce91d062e3212d68640cfb1f78abcdc5e62dfb179ac6935c1563af78f280f

Aliases

arxiv: 1110.4141 · arxiv_version: 1110.4141v2 · doi: 10.48550/arxiv.1110.4141 · pith_short_12: S2GOSHIGFYZB · pith_short_16: S2GOSHIGFYZBFVUG · pith_short_8: S2GOSHIG

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/S2GOSHIGFYZBFVUGIDH3D54KXT \
  | 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: 968ce91d062e3212d68640cfb1f78abcdc5e62dfb179ac6935c1563af78f280f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11e37fc4dd5774224529bb9eeb325681666c4d40820691101fa76d34f024c8d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2011-10-18T23:04:58Z",
    "title_canon_sha256": "916d437a49ee629413b8602fcf734369614c601863f7b0be72bb9b294c3eb0ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4141",
    "kind": "arxiv",
    "version": 2
  }
}