Pith Number

pith:VJ7VFICP

pith:2019:VJ7VFICP5RJQ3XIA7ISCQFTVGX

not attested not anchored not stored refs pending

On the Nonlinear Impulsive $\Psi$--Hilfer Fractional Differential Equations

J. Vanterler da C. Sousa, Jyoti P. Kharade, Kishor D. Kucche

arxiv:1901.01814 v2 · 2019-01-07 · math.DS · math.AP

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\usepackage{pith}
\pithnumber{VJ7VFICP5RJQ3XIA7ISCQFTVGX}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T01:59:53.439176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa7f52a04fec530ddd00fa2428167535e6a9c60c442ea339cf351efcda15afbd

Aliases

arxiv: 1901.01814 · arxiv_version: 1901.01814v2 · doi: 10.48550/arxiv.1901.01814 · pith_short_12: VJ7VFICP5RJQ · pith_short_16: VJ7VFICP5RJQ3XIA · pith_short_8: VJ7VFICP

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/VJ7VFICP5RJQ3XIA7ISCQFTVGX \
  | 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: aa7f52a04fec530ddd00fa2428167535e6a9c60c442ea339cf351efcda15afbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a328cd0109f33afe94974e9d43eb76ddcb5ed82cdd8e770b4fb77a1a151cf399",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-01-07T14:05:56Z",
    "title_canon_sha256": "843f2a77c87e76cca892e7f13eb3d5cb69ae9af92e1b4e08f1dd4c6a001dc5fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.01814",
    "kind": "arxiv",
    "version": 2
  }
}