Pith Number

pith:363NQ7PL

pith:2013:363NQ7PLW3SF7YVLNQJ6RW4DVE

not attested not anchored not stored refs pending

Exponential tail behaviour of self-similar solutions to Smoluchowski's coagulation equation

Barbara Niethammer, Juan J.L. Velazquez

arxiv:1310.4732 v1 · 2013-10-17 · 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{363NQ7PLW3SF7YVLNQJ6RW4DVE}

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	2026-05-18T03:10:13.019572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfb6d87debb6e45fe2ab6c13e8db83a9303d62fa5316fe5b404abf68c902a381

Aliases

arxiv: 1310.4732 · arxiv_version: 1310.4732v1 · doi: 10.48550/arxiv.1310.4732 · pith_short_12: 363NQ7PLW3SF · pith_short_16: 363NQ7PLW3SF7YVL · pith_short_8: 363NQ7PL

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/363NQ7PLW3SF7YVLNQJ6RW4DVE \
  | 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: dfb6d87debb6e45fe2ab6c13e8db83a9303d62fa5316fe5b404abf68c902a381

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "013fdca043e893d5e480e55a5f829ac578fcc9fcf12d4d7b8afe1436896eef28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-17T14:52:40Z",
    "title_canon_sha256": "2087464bea20b78ef00d21623af400dc3a29c264a38fe32e6e29adde027520fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4732",
    "kind": "arxiv",
    "version": 1
  }
}