Pith Number

pith:IQOT2TOU

pith:2013:IQOT2TOU5QXFK7KORLNOFH5ZWO

not attested not anchored not stored refs pending

Numerical simulation of solutions and moments of the smoluchowski coagulation equation

David M. Bortz, Dustin D. Keck

arxiv:1312.7240 v1 · 2013-12-27 · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQOT2TOU5QXFK7KORLNOFH5ZWO}

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	2026-05-18T03:03:45.383590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

441d3d4dd4ec2e557d4e8adae29fb9b386c3daab903f00358ce288fe708d1baf

Aliases

arxiv: 1312.7240 · arxiv_version: 1312.7240v1 · doi: 10.48550/arxiv.1312.7240 · pith_short_12: IQOT2TOU5QXF · pith_short_16: IQOT2TOU5QXFK7KO · pith_short_8: IQOT2TOU

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/IQOT2TOU5QXFK7KORLNOFH5ZWO \
  | 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: 441d3d4dd4ec2e557d4e8adae29fb9b386c3daab903f00358ce288fe708d1baf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcac665f1259b89f3bd83bc1295b868e9563945d5e4c0173af836a1997e91f68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-27T10:55:22Z",
    "title_canon_sha256": "5aac921414280452537fa48f1e874e20c6214313f198abb0239da9665b5d5b63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7240",
    "kind": "arxiv",
    "version": 1
  }
}