Pith Number

pith:HLWAIC27

pith:2023:HLWAIC27GWMLFLD5UWVULQCPRG

not attested not anchored not stored refs pending

Semi-analytical Solutions for Breakage and Aggregation-breakage Equations via Daftardar-Jafari Method

Gourav Arora, Rajesh Kumar, Sanjiv Kumar Bariwal

arxiv:2303.17265 v1 · 2023-03-30 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HLWAIC27GWMLFLD5UWVULQCPRG}

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	2026-07-05T05:56:32.224132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aec040b5f3598b2ac7da5ab45c04f89b17c5dd2942a16012b1404b1bfd56b66

Aliases

arxiv: 2303.17265 · arxiv_version: 2303.17265v1 · doi: 10.48550/arxiv.2303.17265 · pith_short_12: HLWAIC27GWML · pith_short_16: HLWAIC27GWMLFLD5 · pith_short_8: HLWAIC27

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/HLWAIC27GWMLFLD5UWVULQCPRG \
  | 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: 3aec040b5f3598b2ac7da5ab45c04f89b17c5dd2942a16012b1404b1bfd56b66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fbeeff27d9c2a891ae5fe523f3b143fbe1d89199733b53cc54327ee5598ef36",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-03-30T10:04:44Z",
    "title_canon_sha256": "7ab6095b6224c74ff6ed58f2060cd903961154583272adbd5a7b31f05be8c086"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.17265",
    "kind": "arxiv",
    "version": 1
  }
}