Pith Number

pith:FM736E4G

pith:2021:FM736E4GO6AIB644RM5CTFP7KK

not attested not anchored not stored refs pending

Non-instantaneous Impulsive Riemann-Liouville Fractional Differential Systems: Existence and Controllability Analysis

Abdul Haq, Lavina Sahijwani, N. Sukavanam

arxiv:2112.07643 v1 · 2021-12-14 · math.OC · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FM736E4GO6AIB644RM5CTFP7KK}

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	2026-07-05T03:41:00.273780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b3fbf1386778080fb9c8b3a2995ff52a530f0eecaed93f285b18b2e55734212

Aliases

arxiv: 2112.07643 · arxiv_version: 2112.07643v1 · doi: 10.48550/arxiv.2112.07643 · pith_short_12: FM736E4GO6AI · pith_short_16: FM736E4GO6AIB644 · pith_short_8: FM736E4G

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/FM736E4GO6AIB644RM5CTFP7KK \
  | 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: 2b3fbf1386778080fb9c8b3a2995ff52a530f0eecaed93f285b18b2e55734212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "452523e07087dcb8184acd44633ef5c4d0b1f2dbbf06fe3d25cb2673157460d8",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2021-12-14T18:44:47Z",
    "title_canon_sha256": "124a757a60eeb76e8c1388470cd234e948eb297de91a61ca5c2f7b05e1fd35ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.07643",
    "kind": "arxiv",
    "version": 1
  }
}