Pith Number

pith:VZYPSDGI

pith:2024:VZYPSDGIOAPCKEADLBO4XAHCWQ

not attested not anchored not stored refs pending

The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form

Jonas W. Peteranderl, Rupert L. Frank

arxiv:2412.12819 v1 · 2024-12-17 · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VZYPSDGIOAPCKEADLBO4XAHCWQ}

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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

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$

Receipt and verification

First computed	2026-07-05T09:50:21.129833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae70f90cc8701e251003585dcb80e2b4270f0dfb7a55f1fb04c1cd0c6bb2a8d5

Aliases

arxiv: 2412.12819 · arxiv_version: 2412.12819v1 · doi: 10.48550/arxiv.2412.12819 · pith_short_12: VZYPSDGIOAPC · pith_short_16: VZYPSDGIOAPCKEAD · pith_short_8: VZYPSDGI

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/VZYPSDGIOAPCKEADLBO4XAHCWQ \
  | 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: ae70f90cc8701e251003585dcb80e2b4270f0dfb7a55f1fb04c1cd0c6bb2a8d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c3056aee2ade64ab8679cce3581572a4d93865c4fa4c7abf9f7527a0733fe5b",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-17T11:39:35Z",
    "title_canon_sha256": "1b2fd27686c9be5be4a35dcb25803634589c0934b3afe230bfed8b1c03ac0761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12819",
    "kind": "arxiv",
    "version": 1
  }
}