Pith Number

pith:7QGFKMS6

pith:2025:7QGFKMS6ZZ7RAFMTZES2AV4VWT

not attested not anchored not stored refs pending

Global existence of measure-valued solutions to the multicomponent Smoluchowski coagulation equation

Marina A. Ferreira, Sakari Pirnes

arxiv:2504.10306 v1 · 2025-04-14 · 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{7QGFKMS6ZZ7RAFMTZES2AV4VWT}

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.

Cited by

1 paper in Pith

Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation

Receipt and verification

First computed	2026-07-05T10:48:50.820373Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc0c55325ece7f101593c925a05795b4e421dc11861fcbddef4aa42243d921d8

Aliases

arxiv: 2504.10306 · arxiv_version: 2504.10306v1 · doi: 10.48550/arxiv.2504.10306 · pith_short_12: 7QGFKMS6ZZ7R · pith_short_16: 7QGFKMS6ZZ7RAFMT · pith_short_8: 7QGFKMS6

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/7QGFKMS6ZZ7RAFMTZES2AV4VWT \
  | 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: fc0c55325ece7f101593c925a05795b4e421dc11861fcbddef4aa42243d921d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33497d5d7f5b80f8b645b3d62b25175a6a771fb3943dc156e7a58d42e3434a07",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-04-14T15:14:22Z",
    "title_canon_sha256": "aff7504069c1300bef84a4e47b0af97e787890c3479ebd78ec40916a2b0a438a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10306",
    "kind": "arxiv",
    "version": 1
  }
}