Pith Number

pith:H6VLN4VJ

pith:2025:H6VLN4VJOLVY7AEV4OXH2SO5RV

not attested not anchored not stored refs pending

Multi-species McKean-Vlasov dynamics in non-convex landscapes

Grigorios A. Pavliotis, Julian Tugaut, Manh Hong Duong

arxiv:2507.07617 v1 · 2025-07-10 · math.PR · math-ph · math.AP · 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{H6VLN4VJOLVY7AEV4OXH2SO5RV}

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	2026-07-05T11:35:01.931546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3faab6f2a972eb8f8095e3ae7d49dd8d793e52efd1694382bdfac3d5df08f3b7

Aliases

arxiv: 2507.07617 · arxiv_version: 2507.07617v1 · doi: 10.48550/arxiv.2507.07617 · pith_short_12: H6VLN4VJOLVY · pith_short_16: H6VLN4VJOLVY7AEV · pith_short_8: H6VLN4VJ

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/H6VLN4VJOLVY7AEV4OXH2SO5RV \
  | 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: 3faab6f2a972eb8f8095e3ae7d49dd8d793e52efd1694382bdfac3d5df08f3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e33567f83f18c446a74c8cd41448b03863d902b90cdf7cf930ae84fe2079e93f",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-07-10T10:36:57Z",
    "title_canon_sha256": "c092993f66aa33ef074e0678e153f7d3b39e1692a8cc19c7488531e085265b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.07617",
    "kind": "arxiv",
    "version": 1
  }
}