Pith Number

pith:22EPUZHV

pith:2025:22EPUZHVSNPS6SI2BS75M36ZW4

not attested not anchored not stored refs pending

Well-posedness and large time behavior of a size-structured growth-coagulation-fragmentation model

Ankik Kumar Giri, Saroj Si

arxiv:2504.05428 v1 · 2025-04-07 · math.AP · 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{22EPUZHVSNPS6SI2BS75M36ZW4}

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	2026-07-05T10:45:42.243820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d688fa64f5935f2f491a0cbfd66fd9b7087899ad11f38954351e51a501a61d4f

Aliases

arxiv: 2504.05428 · arxiv_version: 2504.05428v1 · doi: 10.48550/arxiv.2504.05428 · pith_short_12: 22EPUZHVSNPS · pith_short_16: 22EPUZHVSNPS6SI2 · pith_short_8: 22EPUZHV

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/22EPUZHVSNPS6SI2BS75M36ZW4 \
  | 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: d688fa64f5935f2f491a0cbfd66fd9b7087899ad11f38954351e51a501a61d4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b971e0f5172fc3e89e537939939e6277a8d88d0c969a5b918ef6e0b06cfd187d",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-07T18:51:31Z",
    "title_canon_sha256": "cf5e94509fb6f7c813f2d5900ed306bee9d5a10e07757df5c9a1a1f8f05f8faf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05428",
    "kind": "arxiv",
    "version": 1
  }
}