Pith Number

pith:ZDSK2VZI

pith:2013:ZDSK2VZI6VBFLJ3VTEAWU6DGMN

not attested not anchored not stored refs pending

Variational Methods for the Fractional Sturm--Liouville Problem

Agnieszka B. Malinowska, Malgorzata Klimek, Tatiana Odzijewicz

arxiv:1304.6258 v1 · 2013-04-23 · 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{ZDSK2VZI6VBFLJ3VTEAWU6DGMN}

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	2026-05-18T02:50:34.149013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8e4ad5728f54255a77599016a786663733a1eb6bd3fe1bd40e97fb41163891a

Aliases

arxiv: 1304.6258 · arxiv_version: 1304.6258v1 · doi: 10.48550/arxiv.1304.6258 · pith_short_12: ZDSK2VZI6VBF · pith_short_16: ZDSK2VZI6VBFLJ3V · pith_short_8: ZDSK2VZI

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/ZDSK2VZI6VBFLJ3VTEAWU6DGMN \
  | 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: c8e4ad5728f54255a77599016a786663733a1eb6bd3fe1bd40e97fb41163891a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7adda6c3e54f6d168344beb0a44788a8b781328a39591723cd2ce76a37ad3a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-04-23T12:26:07Z",
    "title_canon_sha256": "d71a6fd3e78ea6cd2d1cebe72c7507fef55f29f0d79c89738277b75fc3e1e31b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6258",
    "kind": "arxiv",
    "version": 1
  }
}