Pith Number

pith:ZKZSETBW

pith:2024:ZKZSETBWQRFHY45M3UKZDB7EWH

not attested not anchored not stored refs pending

Existence of ground states for free energies on the hyperbolic space

Hansol Park, Jos\'e A. Carrillo, Razvan C. Fetecau

arxiv:2409.06022 v1 · 2024-09-09 · 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{ZKZSETBWQRFHY45M3UKZDB7EWH}

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	2026-07-05T09:05:01.012609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cab3224c36844a7c73acdd159187e4b1dd0b1f95f9265d9ee5a564e278e1e02e

Aliases

arxiv: 2409.06022 · arxiv_version: 2409.06022v1 · doi: 10.48550/arxiv.2409.06022 · pith_short_12: ZKZSETBWQRFH · pith_short_16: ZKZSETBWQRFHY45M · pith_short_8: ZKZSETBW

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/ZKZSETBWQRFHY45M3UKZDB7EWH \
  | 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: cab3224c36844a7c73acdd159187e4b1dd0b1f95f9265d9ee5a564e278e1e02e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fbbc63943320bb9c4aa60d1b0d773f47580d55490e84a0be965deddcad8c459",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-09-09T19:26:06Z",
    "title_canon_sha256": "3c65eb32359ca8cc4cac88701b8838604a34e5820c498cc2194b0a1d49f1da64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.06022",
    "kind": "arxiv",
    "version": 1
  }
}