Pith Number

pith:QNAANIFA

pith:2019:QNAANIFATTC6NA7SMVWWZOOB2U

not attested not anchored not stored refs pending

Mild and classical solutions for fractional evolution differential equation

D. S. Oliveira, J. Vanterler da C. Sousa, Thabet Abdeljawad

arxiv:1908.04948 v2 · 2019-08-14 · 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{QNAANIFATTC6NA7SMVWWZOOB2U}

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	2026-07-05T00:03:00.497575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

834006a0a09cc5e683f2656d6cb9c1d5304c98f59711402d2187dec96d9857c0

Aliases

arxiv: 1908.04948 · arxiv_version: 1908.04948v2 · doi: 10.48550/arxiv.1908.04948 · pith_short_12: QNAANIFATTC6 · pith_short_16: QNAANIFATTC6NA7S · pith_short_8: QNAANIFA

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/QNAANIFATTC6NA7SMVWWZOOB2U \
  | 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: 834006a0a09cc5e683f2656d6cb9c1d5304c98f59711402d2187dec96d9857c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc7c9a50635fcd93808cb56351ebd40d39a9af3040274bb09943709d371f308d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-08-14T04:27:33Z",
    "title_canon_sha256": "a378dcad2c524c83efdacf6732658c91eae77ab50ad8c7b2c9499633ebef53ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04948",
    "kind": "arxiv",
    "version": 2
  }
}