Pith Number

pith:XOW7YTZF

pith:2013:XOW7YTZFMZP3W7RIULBAUWVGWB

not attested not anchored not stored refs pending

Representation of Solutions of Linear Homogeneous Caputo Fractional Differential Equations with Continuous Variable Coefficients

Hyong-Chol O, Myong-Ha Kim, Sun-Ae Pak

arxiv:1305.3193 v1 · 2013-05-14 · 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{XOW7YTZFMZP3W7RIULBAUWVGWB}

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	2026-05-18T03:25:44.527743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbadfc4f25665fbb7e28a2c20a5aa6b0661d61d8cb552a1123deece0c23908d1

Aliases

arxiv: 1305.3193 · arxiv_version: 1305.3193v1 · doi: 10.48550/arxiv.1305.3193 · pith_short_12: XOW7YTZFMZP3 · pith_short_16: XOW7YTZFMZP3W7RI · pith_short_8: XOW7YTZF

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/XOW7YTZFMZP3W7RIULBAUWVGWB \
  | 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: bbadfc4f25665fbb7e28a2c20a5aa6b0661d61d8cb552a1123deece0c23908d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d39d63992d50304b0fedb4df9ffd963b975e8ac6b009352705e6aa51348dec3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-05-14T16:03:07Z",
    "title_canon_sha256": "a85b587b4630f38d6fd012ec52677877f6ec49a90cb4071efbfe4490ad934470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3193",
    "kind": "arxiv",
    "version": 1
  }
}