Pith Number

pith:WMGFDRJR

pith:2013:WMGFDRJRZMHMK4I4VLZXV7OD3O

not attested not anchored not stored refs pending

Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with p-Laplacian operator

Erdo\u{g}an \c{S}en, Jong Jin Seo, Kamil Oru\c{c}o\u{g}lu, Mehmet Acikgoz, Serkan Araci

arxiv:1303.0150 v2 · 2013-03-01 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMGFDRJRZMHMK4I4VLZXV7OD3O}

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	2026-05-18T03:11:35.885040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64

Aliases

arxiv: 1303.0150 · arxiv_version: 1303.0150v2 · doi: 10.48550/arxiv.1303.0150 · pith_short_12: WMGFDRJRZMHM · pith_short_16: WMGFDRJRZMHMK4I4 · pith_short_8: WMGFDRJR

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/WMGFDRJRZMHMK4I4VLZXV7OD3O \
  | 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: b30c51c531cb0ec5711caaf37afdc3dba36c5c064ec51fd72053b7daab26cc64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e88f6fce07fb110c6731fc8a2a5e8a9f7f9f98786215f52bb78813baec42e3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-03-01T11:39:46Z",
    "title_canon_sha256": "a40c525a61f6e65c4a61151d12b525e4dd2f9bc231288fe3b3f6d41cc2e2c8b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.0150",
    "kind": "arxiv",
    "version": 2
  }
}