Pith Number

pith:VHFGXHNX

pith:2018:VHFGXHNXBUEMTM7TQBX3KEAJWS

not attested not anchored not stored refs pending

Uniqueness of mass-conserving self-similar solutions to Smoluchowski's coagulation equation with inverse power law kernels

Philippe Lauren\c{c}ot (IMT)

arxiv:1801.08308 v1 · 2018-01-25 · 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{VHFGXHNXBUEMTM7TQBX3KEAJWS}

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	2026-05-18T00:18:11.477659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9ca6b9db70d08c9b3f3806fb51009b4bf1ef00c4b84fa9628c1083fc0a1acbb

Aliases

arxiv: 1801.08308 · arxiv_version: 1801.08308v1 · doi: 10.48550/arxiv.1801.08308 · pith_short_12: VHFGXHNXBUEM · pith_short_16: VHFGXHNXBUEMTM7T · pith_short_8: VHFGXHNX

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/VHFGXHNXBUEMTM7TQBX3KEAJWS \
  | 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: a9ca6b9db70d08c9b3f3806fb51009b4bf1ef00c4b84fa9628c1083fc0a1acbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "286510b343d4704cf1a140a3536a59883835b03e5e05b02537307cb894814ef4",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-25T08:43:25Z",
    "title_canon_sha256": "62e02ba064f51eeec42b038d81f673ec86d483ed54335b3b11da9b8e7f5335d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08308",
    "kind": "arxiv",
    "version": 1
  }
}