Pith Number

pith:NKRNOIBE

pith:2024:NKRNOIBEYNKY4CGSS2A275GWCC

not attested not anchored not stored refs pending

Weak convergence analysis for non-linear collisional induced breakage equation with singular kernel

Rajesh Kumar, Sanjiv Kumar Bariwal

arxiv:2412.01943 v1 · 2024-12-02 · 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{NKRNOIBEYNKY4CGSS2A275GWCC}

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	2026-07-05T09:43:41.309818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6aa2d72024c3558e08d29681aff4d610afffd5a4507a461cc7c25f2f45d71213

Aliases

arxiv: 2412.01943 · arxiv_version: 2412.01943v1 · doi: 10.48550/arxiv.2412.01943 · pith_short_12: NKRNOIBEYNKY · pith_short_16: NKRNOIBEYNKY4CGS · pith_short_8: NKRNOIBE

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/NKRNOIBEYNKY4CGSS2A275GWCC \
  | 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: 6aa2d72024c3558e08d29681aff4d610afffd5a4507a461cc7c25f2f45d71213

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f12a29737a90b36624da1897cfc7be5d7d0439907e837c5b9b44c18681ffe798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-02T20:07:04Z",
    "title_canon_sha256": "27340df54ce9628f17dd062299da20fd2b522dee61a0945ca19a5c0f52a00f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01943",
    "kind": "arxiv",
    "version": 1
  }
}