Pith Number

pith:YTB7KXUH

pith:2024:YTB7KXUHTE2WWHOHU2UVL2S7U3

not attested not anchored not stored refs pending

Solutions of stationary McKean-Vlasov equation on a high-dimensional sphere and other Riemannian manifolds

Andr\'e Schlichting, Anna Shalova

arxiv:2412.14813 v2 · 2024-12-19 · math.AP · math-ph · math.MP · 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{YTB7KXUHTE2WWHOHU2UVL2S7U3}

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

2 papers in Pith

Perceptrons and localization of attention's mean-field landscape

Phase transitions in Doi-Onsager, Noisy Transformer, and other multimodal models

Receipt and verification

First computed	2026-07-05T10:07:47.024810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4c3f55e8799356b1dc7a6a955ea5fa6c5ed2843c6de33d0b0b1b6a021087ed5

Aliases

arxiv: 2412.14813 · arxiv_version: 2412.14813v2 · doi: 10.48550/arxiv.2412.14813 · pith_short_12: YTB7KXUHTE2W · pith_short_16: YTB7KXUHTE2WWHOH · pith_short_8: YTB7KXUH

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/YTB7KXUHTE2WWHOHU2UVL2S7U3 \
  | 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: c4c3f55e8799356b1dc7a6a955ea5fa6c5ed2843c6de33d0b0b1b6a021087ed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02ec0156c9822f334c000d2527ffb8227709a7ccf5d824aa0f768c4c8ae27779",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-19T13:07:39Z",
    "title_canon_sha256": "37c20528f2e52f012d47280b285606f734ce2763efc92400878978d3358fa26e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.14813",
    "kind": "arxiv",
    "version": 2
  }
}