Pith Number

pith:4ON6XCFY

pith:2019:4ON6XCFYVPWWRWAH4WAGTW2AIL

not attested not anchored not stored refs pending

Analysis of Impulsive $\varphi$--Hilfer Fractional Differential Equations

Jyoti P. Kharade, Kishor D. Kucche

arxiv:1908.07785 v1 · 2019-08-21 · math.DS · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ON6XCFYVPWWRWAH4WAGTW2AIL}

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	2026-07-05T01:59:53.963628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e39beb88b8abed68d807e58069db4042dde50f33f4f127dc59827bde5affe902

Aliases

arxiv: 1908.07785 · arxiv_version: 1908.07785v1 · doi: 10.48550/arxiv.1908.07785 · pith_short_12: 4ON6XCFYVPWW · pith_short_16: 4ON6XCFYVPWWRWAH · pith_short_8: 4ON6XCFY

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/4ON6XCFYVPWWRWAH4WAGTW2AIL \
  | 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: e39beb88b8abed68d807e58069db4042dde50f33f4f127dc59827bde5affe902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efac25fb1d60de2e37ae4e00dda6c034f9a5883d564fe72141587d4abd34ab7a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-08-21T10:46:50Z",
    "title_canon_sha256": "fc15be4bd86672a6339679b6615af0191cee68d53497229f4422dcb3da6b6318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07785",
    "kind": "arxiv",
    "version": 1
  }
}