Pith Number

pith:DPMRUSX4

pith:2025:DPMRUSX47KC7UZRRGEQGPM3COT

not attested not anchored not stored refs pending

Non-radial minimizers for Hardy--Sobolev inequalities in non-convex cones

A. I. Nazarov, N. V. Rastegaev

arxiv:2507.04470 v1 · 2025-07-06 · 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{DPMRUSX47KC7UZRRGEQGPM3COT}

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	2026-07-05T11:32:48.617602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bd91a4afcfa85fa6631312067b36274c0a9ffddf86b0370ffad0f61ba1635d9

Aliases

arxiv: 2507.04470 · arxiv_version: 2507.04470v1 · doi: 10.48550/arxiv.2507.04470 · pith_short_12: DPMRUSX47KC7 · pith_short_16: DPMRUSX47KC7UZRR · pith_short_8: DPMRUSX4

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/DPMRUSX47KC7UZRRGEQGPM3COT \
  | 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: 1bd91a4afcfa85fa6631312067b36274c0a9ffddf86b0370ffad0f61ba1635d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83fa5a94e2c6caf486573dee064b964d4b9ac95126465951f17aa8ce711a8df0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-06T17:18:14Z",
    "title_canon_sha256": "efa42886daeca68b2c3c4c4e47bb7c0ebcedbefcb13ce08aedd17be9f30ed48d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04470",
    "kind": "arxiv",
    "version": 1
  }
}