Pith Number

pith:ZS3G2ZYR

pith:2011:ZS3G2ZYRFHQVQJNBEGTFNO5E4V

not attested not anchored not stored refs pending

Variational Problems with Fractional Derivatives: Euler-Lagrange Equations

Sanja Konjik, Stevan Pilipovic, Teodor M. Atanackovic

arxiv:1101.2961 v1 · 2011-01-15 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS3G2ZYRFHQVQJNBEGTFNO5E4V}

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	2026-05-18T02:03:39.713917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb66d671129e15825a121a656bba4e57d47efe52f42dfda7f3ce4d31028242e

Aliases

arxiv: 1101.2961 · arxiv_version: 1101.2961v1 · doi: 10.48550/arxiv.1101.2961 · pith_short_12: ZS3G2ZYRFHQV · pith_short_16: ZS3G2ZYRFHQVQJNB · pith_short_8: ZS3G2ZYR

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/ZS3G2ZYRFHQVQJNBEGTFNO5E4V \
  | 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: ccb66d671129e15825a121a656bba4e57d47efe52f42dfda7f3ce4d31028242e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31d7944201a25892d050a647c94468a1f8181ffa06d3104716ad3d6559690b7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-01-15T10:14:51Z",
    "title_canon_sha256": "7389562b56000825b454bdaf13deabbc8e86b975ff6806e361a29d7528af88d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2961",
    "kind": "arxiv",
    "version": 1
  }
}