Pith Number

pith:DPGQ4IXF

pith:2023:DPGQ4IXFCDJ4O2T244XCZWW53K

not attested not anchored not stored refs pending

Convergence of the discrete Redner-Ben-Avraham-Kahng coagulation equation

Pratibha Verma

arxiv:2307.13245 v2 · 2023-07-25 · 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{DPGQ4IXFCDJ4O2T244XCZWW53K}

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	2026-07-05T07:30:03.887477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bcd0e22e510d3c76a7ae72e2cdadddaa57ea231ea7e51da6a89030ff8d723f5

Aliases

arxiv: 2307.13245 · arxiv_version: 2307.13245v2 · doi: 10.48550/arxiv.2307.13245 · pith_short_12: DPGQ4IXFCDJ4 · pith_short_16: DPGQ4IXFCDJ4O2T2 · pith_short_8: DPGQ4IXF

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/DPGQ4IXFCDJ4O2T244XCZWW53K \
  | 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: 1bcd0e22e510d3c76a7ae72e2cdadddaa57ea231ea7e51da6a89030ff8d723f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a6dce040f87943cfc1b337730f44d5d8e1d2f291b1cd76e280e9ab45bd4d9ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-07-25T04:15:25Z",
    "title_canon_sha256": "01ebe9637afef98d25c2f11fe179fb7a6417e0e25f3c642f06e8370fbe44b9c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.13245",
    "kind": "arxiv",
    "version": 2
  }
}