Pith Number

pith:TXA6I42G

pith:2017:TXA6I42G67NOH2LK2FOBLDJSVG

not attested not anchored not stored refs pending

Extremal functions for the sharp Moser--Trudinger type inequalities in whole space $\mathbb R^N$

Van Hoang Nguyen

arxiv:1705.05864 v1 · 2017-05-16 · math.FA · 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{TXA6I42G67NOH2LK2FOBLDJSVG}

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	2026-05-18T00:44:19.494285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dc1e47346f7dae3e96ad15c158d32a9b371e60ca486550baf8f87b7c51fda98

Aliases

arxiv: 1705.05864 · arxiv_version: 1705.05864v1 · doi: 10.48550/arxiv.1705.05864 · pith_short_12: TXA6I42G67NO · pith_short_16: TXA6I42G67NOH2LK · pith_short_8: TXA6I42G

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/TXA6I42G67NOH2LK2FOBLDJSVG \
  | 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: 9dc1e47346f7dae3e96ad15c158d32a9b371e60ca486550baf8f87b7c51fda98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c6b26a7d3ff7138858e38d28ee862f9353015a80004b7bf4d546fd29ceb1eeb",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-05-16T18:01:10Z",
    "title_canon_sha256": "a189aebf321757e3f9820347afb0cca7dc57366ba35122209a3eda9ba57fca4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.05864",
    "kind": "arxiv",
    "version": 1
  }
}