Pith Number

pith:2VLNLQTS

pith:2018:2VLNLQTSNS563DF5AFCSSR3KW2

not attested not anchored not stored refs pending

A note on the mild solutions of Hilfer impulsive fractional differential equations

D. S. Oliveira, E. Capelas de Oliveira, J. Vanterler da C. Sousa

arxiv:1811.09256 v1 · 2018-11-22 · 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{2VLNLQTSNS563DF5AFCSSR3KW2}

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	2026-05-18T00:00:03.804034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d556d5c2726cbbed8cbd014529476ab6975c582f1b415c5869c4d45265506d23

Aliases

arxiv: 1811.09256 · arxiv_version: 1811.09256v1 · doi: 10.48550/arxiv.1811.09256 · pith_short_12: 2VLNLQTSNS56 · pith_short_16: 2VLNLQTSNS563DF5 · pith_short_8: 2VLNLQTS

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/2VLNLQTSNS563DF5AFCSSR3KW2 \
  | 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: d556d5c2726cbbed8cbd014529476ab6975c582f1b415c5869c4d45265506d23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd4d16bb7877723bdfe196034253f64dccca52ec412ea0aec7548404794f1483",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-22T17:51:22Z",
    "title_canon_sha256": "97f938307e3d9b04dee3fc01ee479890f972c75cf6a60a34d69dfa8571ccd0cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09256",
    "kind": "arxiv",
    "version": 1
  }
}