Pith Number

pith:YLP7EGDV

pith:2018:YLP7EGDVAX6QFSIZZXLAKSBL54

not attested not anchored not stored refs pending

Mass-conserving solutions to the Smoluchowski coagulation equation with singular kernel

Ankik Kumar Giri, Philippe Lauren\c{c}ot, Prasanta Kumar Barik

arxiv:1804.00853 v1 · 2018-04-03 · 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{YLP7EGDVAX6QFSIZZXLAKSBL54}

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	2026-05-18T00:19:31.962019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2dff2187505fd02c919cdd605482bef2cfd659495e6638f36604afed56a5f44

Aliases

arxiv: 1804.00853 · arxiv_version: 1804.00853v1 · doi: 10.48550/arxiv.1804.00853 · pith_short_12: YLP7EGDVAX6Q · pith_short_16: YLP7EGDVAX6QFSIZ · pith_short_8: YLP7EGDV

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/YLP7EGDVAX6QFSIZZXLAKSBL54 \
  | 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: c2dff2187505fd02c919cdd605482bef2cfd659495e6638f36604afed56a5f44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ee1b7b447b7a894dc920c72262b5e9669fdbaf04a85e83c6e1e27bca731d902",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-03T07:27:29Z",
    "title_canon_sha256": "db9ad7cdfd494a26c7cd2c1803c33edbe2dcd6585b87424aa7d076cb9a527be9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.00853",
    "kind": "arxiv",
    "version": 1
  }
}