Pith Number

pith:VPI7XEE5

pith:2018:VPI7XEE53NXPW3M7YRGRUZ2Y3Y

not attested not anchored not stored refs pending

On Impulsive Delay Integrodifferential Equations with Integral Impulses

Kishor D. Kucche, Pallavi U. Shikhare

arxiv:1812.11790 v2 · 2018-12-31 · 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{VPI7XEE53NXPW3M7YRGRUZ2Y3Y}

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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

On the Nonlinear Impulsive Volterra-Fredholm Integrodifferential Equations

Receipt and verification

First computed	2026-07-05T01:11:39.066312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd1fb909ddb6efb6d9fc44d1a6758de2232d71ccdd24726a0c58ffc7620a3b9

Aliases

arxiv: 1812.11790 · arxiv_version: 1812.11790v2 · doi: 10.48550/arxiv.1812.11790 · pith_short_12: VPI7XEE53NXP · pith_short_16: VPI7XEE53NXPW3M7 · pith_short_8: VPI7XEE5

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/VPI7XEE53NXPW3M7YRGRUZ2Y3Y \
  | 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: abd1fb909ddb6efb6d9fc44d1a6758de2232d71ccdd24726a0c58ffc7620a3b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94ce2667a813ceaf75e26eff3c9754176e6f51183ce772f902817b648cd69ac0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-31T13:30:55Z",
    "title_canon_sha256": "510ef6845ea5627e9718673d182a6a4188dc5bc242545b369afe7dc5ecdf00aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.11790",
    "kind": "arxiv",
    "version": 2
  }
}