Pith Number

pith:OHRBX7CA

pith:2015:OHRBX7CA4SP3ET2TD4BS7WSZYM

not attested not anchored not stored refs pending

A revised proof of uniqueness of self-similar profiles to Smoluchowski's coagulation equation for kernels close to constant

Barbara Niethammer, Juan J.L. Vel\'azquez, Sebastian Throm

arxiv:1510.03361 v3 · 2015-10-12 · 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{OHRBX7CA4SP3ET2TD4BS7WSZYM}

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	2026-05-18T00:41:42.199902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e21bfc40e49fb24f531f032fda59c330320a77e7e44358b26ba29f6ffdf77c

Aliases

arxiv: 1510.03361 · arxiv_version: 1510.03361v3 · doi: 10.48550/arxiv.1510.03361 · pith_short_12: OHRBX7CA4SP3 · pith_short_16: OHRBX7CA4SP3ET2T · pith_short_8: OHRBX7CA

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/OHRBX7CA4SP3ET2TD4BS7WSZYM \
  | 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: 71e21bfc40e49fb24f531f032fda59c330320a77e7e44358b26ba29f6ffdf77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638d42ba4111e9742a19f7e24a60e0df526321aa4dc003b4555a3fb773b7674d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-12T16:49:01Z",
    "title_canon_sha256": "2bcd8da513e0abdcb5b0a7fb75fb856fdc60909cbb087f8a144dd986de5ec4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03361",
    "kind": "arxiv",
    "version": 3
  }
}