Pith Number

pith:GXIWUVWA

pith:2026:GXIWUVWACLACTFU7JH2B2RAZRK

not attested not anchored not stored refs pending

Density-Dependent McKean--Vlasov Diffusions: Subgaussian Occupancy Bounds and Polynomial Propagation of Chaos

Denis Belomestny, Ekaterina Morozova

arxiv:2607.19583 v1 · 2026-07-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GXIWUVWACLACTFU7JH2B2RAZRK}

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	2026-07-23T00:23:57.622421Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35d16a56c012c029969f49f41d44198a87711743179d6fc0830c1fa26c716b5d

Aliases

arxiv: 2607.19583 · arxiv_version: 2607.19583v1 · doi: 10.48550/arxiv.2607.19583 · pith_short_12: GXIWUVWACLAC · pith_short_16: GXIWUVWACLACTFU7 · pith_short_8: GXIWUVWA

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/GXIWUVWACLACTFU7JH2B2RAZRK \
  | 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: 35d16a56c012c029969f49f41d44198a87711743179d6fc0830c1fa26c716b5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bf7b3dd9e6ae1006e331f1e5a26f2b473b83116bffe8d4f8e031eb1f32b3e13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-07-21T21:21:21Z",
    "title_canon_sha256": "85de15a0eb07ea64ebe1c3f359861c1dd76f6df0ab41dc1a980bc69ae8d523bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.19583",
    "kind": "arxiv",
    "version": 1
  }
}