Pith Number

pith:LXOP5JKR

pith:2015:LXOP5JKR6FKBHY6RZUVF33U7PS

not attested not anchored not stored refs pending

New approach to the affine P\'olya-Szeg\"o principle and the stability version of the affine Sobolev inequality

Van Hoang Nguyen

arxiv:1506.07335 v3 · 2015-06-24 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXOP5JKR6FKBHY6RZUVF33U7PS}

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	2026-05-18T01:09:55.290300Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ddcfea551f15413e3d1cd2a5dee9f7cafb61bd3044de7e2a80ba5b0e0275d1f

Aliases

arxiv: 1506.07335 · arxiv_version: 1506.07335v3 · doi: 10.48550/arxiv.1506.07335 · pith_short_12: LXOP5JKR6FKB · pith_short_16: LXOP5JKR6FKBHY6R · pith_short_8: LXOP5JKR

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/LXOP5JKR6FKBHY6RZUVF33U7PS \
  | 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: 5ddcfea551f15413e3d1cd2a5dee9f7cafb61bd3044de7e2a80ba5b0e0275d1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c70d298808c5caabf53c4e7b174f0760ef196c91876f0236fd1548444e6376ff",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-06-24T12:07:58Z",
    "title_canon_sha256": "0a59f005d2fcede2a23c92034df03fc031f443b5a9c1866f4ddd0e4892c2f15f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07335",
    "kind": "arxiv",
    "version": 3
  }
}