Pith Number

pith:ZKSA4VWD

pith:2023:ZKSA4VWDMJMDPY74443ERC6RKL

not attested not anchored not stored refs pending

Ground states for aggregation-diffusion models on Cartan-Hadamard manifolds

Hansol Park, Razvan C. Fetecau

arxiv:2306.04856 v2 · 2023-06-08 · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKSA4VWDMJMDPY74443ERC6RKL}

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

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

Receipt and verification

First computed	2026-07-05T06:29:02.488651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

caa40e56c3625837e3fce736488bd152f3f329d430a3cdcdf1587ca22e8a6f18

Aliases

arxiv: 2306.04856 · arxiv_version: 2306.04856v2 · doi: 10.48550/arxiv.2306.04856 · pith_short_12: ZKSA4VWDMJMD · pith_short_16: ZKSA4VWDMJMDPY74 · pith_short_8: ZKSA4VWD

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/ZKSA4VWDMJMDPY74443ERC6RKL \
  | 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: caa40e56c3625837e3fce736488bd152f3f329d430a3cdcdf1587ca22e8a6f18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85d18fec9e1708754d456b4acb54bc768cfe0e6bcaddb63ea875b14fb8864445",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-06-08T01:09:45Z",
    "title_canon_sha256": "cc03dafec391d293b2a00ed468bb16ed7e893652992f32e5697ad7fe5d739b97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.04856",
    "kind": "arxiv",
    "version": 2
  }
}