Pith Number

pith:753ORNPD

pith:2011:753ORNPDRPKQASQLC4CZ4ML3ZY

not attested not anchored not stored refs pending

Self-similar solutions with fat tails for Smoluchowski's coagulation equation with locally bounded kernels

Barbara Niethammer, Juan J. L. Velazquez

arxiv:1111.6379 v3 · 2011-11-28 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{753ORNPDRPKQASQLC4CZ4ML3ZY}

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	2026-05-18T01:59:23.123359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff76e8b5e38bd5004a0b17059e317bce2ac34c5a7826a1d754419d009b2e0a4a

Aliases

arxiv: 1111.6379 · arxiv_version: 1111.6379v3 · doi: 10.48550/arxiv.1111.6379 · pith_short_12: 753ORNPDRPKQ · pith_short_16: 753ORNPDRPKQASQL · pith_short_8: 753ORNPD

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/753ORNPDRPKQASQLC4CZ4ML3ZY \
  | 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: ff76e8b5e38bd5004a0b17059e317bce2ac34c5a7826a1d754419d009b2e0a4a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80aa0930eec1c27e50d33e6ae2eeef1e72b7494fc6c4275a814f001c9e9db22f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-28T09:12:34Z",
    "title_canon_sha256": "642c9d329f92beb69e6d06b1a023361519b44390553cdd1939d7959262302f20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6379",
    "kind": "arxiv",
    "version": 3
  }
}