Pith Number

pith:SXQPEPCS

pith:2017:SXQPEPCS46AZOXJCYHD3ICXV4N

not attested not anchored not stored refs pending

Best constants in Sobolev and Gagliardo-Nirenberg inequalities on graded groups and ground states for higher order nonlinear subelliptic equations

Michael Ruzhansky, Niyaz Tokmagambetov, Nurgissa Yessirkegenov

arxiv:1704.01490 v1 · 2017-04-05 · math.AP · math-ph · math.FA · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SXQPEPCS46AZOXJCYHD3ICXV4N}

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	2026-05-18T00:46:56.336134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95e0f23c52e781975d22c1c7b40af5e37adcb2a5003194195e67558e4c62f0d3

Aliases

arxiv: 1704.01490 · arxiv_version: 1704.01490v1 · doi: 10.48550/arxiv.1704.01490 · pith_short_12: SXQPEPCS46AZ · pith_short_16: SXQPEPCS46AZOXJC · pith_short_8: SXQPEPCS

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/SXQPEPCS46AZOXJCYHD3ICXV4N \
  | 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: 95e0f23c52e781975d22c1c7b40af5e37adcb2a5003194195e67558e4c62f0d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d6e469fe2f0e5d3f43b0146e23459a9ad8d889e6f2ed6b96717e95aa1139bf2",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-05T15:32:24Z",
    "title_canon_sha256": "b34ba874d516b1c87ed134f2af747f3b3257285ab727280d5671b1bfcbad5699"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01490",
    "kind": "arxiv",
    "version": 1
  }
}