Pith Number

pith:UX4I4YGZ

pith:2016:UX4I4YGZKTXLQNO2SY27MJBKBB

not attested not anchored not stored refs pending

Oscillatory dynamics in Smoluchowski's coagulation equation with diagonal kernel

Barbara Niethammer, Juan J.L. Vel\'azquez, Philippe Lauren\c{c}ot

arxiv:1603.02929 v2 · 2016-03-09 · 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{UX4I4YGZKTXLQNO2SY27MJBKBB}

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	2026-05-18T01:09:32.073895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5f88e60d954eeb835da9635f6242a0871b1959f399323d783a05702ea15e00f

Aliases

arxiv: 1603.02929 · arxiv_version: 1603.02929v2 · doi: 10.48550/arxiv.1603.02929 · pith_short_12: UX4I4YGZKTXL · pith_short_16: UX4I4YGZKTXLQNO2 · pith_short_8: UX4I4YGZ

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/UX4I4YGZKTXLQNO2SY27MJBKBB \
  | 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: a5f88e60d954eeb835da9635f6242a0871b1959f399323d783a05702ea15e00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc99d02026774fad9dafc3fb4345ebe83b061ca7e6d28e2be27c8dc7396826c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-09T15:52:38Z",
    "title_canon_sha256": "89f41b6b6032babfdd7e044d1380a3341e0dce8161d30333fed2be30a69961d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02929",
    "kind": "arxiv",
    "version": 2
  }
}