Pith Number

pith:JSWEFF42

pith:2023:JSWEFF42XNLAH6PWC6GCQ7HNUD

not attested not anchored not stored refs pending

Minimal periodic foams with equal cells

Annalisa Cesaroni, Matteo Novaga

arxiv:2302.07112 v2 · 2023-02-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JSWEFF42XNLAH6PWC6GCQ7HNUD}

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

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds

Receipt and verification

First computed	2026-07-05T06:30:03.878140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cac42979abb5603f9f6178c287ceda0fa2099743d0ab74b209e67b5c9cb9767

Aliases

arxiv: 2302.07112 · arxiv_version: 2302.07112v2 · doi: 10.48550/arxiv.2302.07112 · pith_short_12: JSWEFF42XNLA · pith_short_16: JSWEFF42XNLAH6PW · pith_short_8: JSWEFF42

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/JSWEFF42XNLAH6PWC6GCQ7HNUD \
  | 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: 4cac42979abb5603f9f6178c287ceda0fa2099743d0ab74b209e67b5c9cb9767

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26907f3cf6a3339bb77715fa057cf6cad1d16781ddbb7a87f5a159ca9cafbf03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-02-14T15:15:26Z",
    "title_canon_sha256": "630f1f1be3bc5619b05b3c5e36ead463147f727ce064ecb0aca8c904a16085bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07112",
    "kind": "arxiv",
    "version": 2
  }
}