Pith Number

pith:NUUVPSOD

pith:2026:NUUVPSODB2JHSU7GU3X3NYG4NS

not attested not anchored not stored refs pending

Sobolev and Michael-Simon inequalities via the ABP method beyond Euclidean volume growth

Debora Impera, Giona Veronelli, Michele Rimoldi

arxiv:2606.17697 v1 · 2026-06-16 · math.DG · 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{NUUVPSODB2JHSU7GU3X3NYG4NS}

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	2026-06-19T16:10:19.566565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d2957c9c30e927953e6a6efb6e0dc6c9b19b403a953879c39f6108a1469a00f

Aliases

arxiv: 2606.17697 · arxiv_version: 2606.17697v1 · doi: 10.48550/arxiv.2606.17697 · pith_short_12: NUUVPSODB2JH · pith_short_16: NUUVPSODB2JHSU7G · pith_short_8: NUUVPSOD

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/NUUVPSODB2JHSU7GU3X3NYG4NS \
  | 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: 6d2957c9c30e927953e6a6efb6e0dc6c9b19b403a953879c39f6108a1469a00f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78cf505b41012b45cc5d2a4cde003f00d2da97441dbd4a8355d33372f42f8b55",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-16T09:10:32Z",
    "title_canon_sha256": "c6aefb64b395a89596234c64fe510f5019ded371e9d50c08f55046939721dc69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.17697",
    "kind": "arxiv",
    "version": 1
  }
}