Pith Number

pith:NTZWUZQE

pith:2017:NTZWUZQEUEK47E24PFASQNCRCM

not attested not anchored not stored refs pending

A note on the equivalence of fractional relaxation equations to differential equations with varying coefficients

Francesco Mainardi

arxiv:1712.10330 v2 · 2017-12-18 · math.CA · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTZWUZQEUEK47E24PFASQNCRCM}

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	2026-05-18T00:23:20.840721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf36a6604a115cf935c7941283451132dc531b7b708df94d353f6dc9a7d6352

Aliases

arxiv: 1712.10330 · arxiv_version: 1712.10330v2 · doi: 10.48550/arxiv.1712.10330 · pith_short_12: NTZWUZQEUEK4 · pith_short_16: NTZWUZQEUEK47E24 · pith_short_8: NTZWUZQE

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/NTZWUZQEUEK47E24PFASQNCRCM \
  | 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: 6cf36a6604a115cf935c7941283451132dc531b7b708df94d353f6dc9a7d6352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f965263679b54919dba657e3128e632a8d310c4f937b7a81833394537479927",
    "cross_cats_sorted": [
      "math.CV",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-12-18T17:19:55Z",
    "title_canon_sha256": "596cbee7ec8c45be5c08e1b02d1b3f59c5659a5a85e6059a76f670adf4b69336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10330",
    "kind": "arxiv",
    "version": 2
  }
}