Pith Number

pith:7YX33W5M

pith:2017:7YX33W5MTUZGNZLIOAW3JZNG7B

not attested not anchored not stored refs pending

On a weighted Trudinger-Moser type inequality on the whole space and related maximizing problem

Futoshi Takahashi, Van Hoang Nguyen

arxiv:1703.05934 v2 · 2017-03-17 · 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{7YX33W5MTUZGNZLIOAW3JZNG7B}

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	2026-05-18T00:45:11.173001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe2fbddbac9d3266e568702db4e5a6f86b112535ce4932cd11b6c21adea38074

Aliases

arxiv: 1703.05934 · arxiv_version: 1703.05934v2 · doi: 10.48550/arxiv.1703.05934 · pith_short_12: 7YX33W5MTUZG · pith_short_16: 7YX33W5MTUZGNZLI · pith_short_8: 7YX33W5M

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/7YX33W5MTUZGNZLIOAW3JZNG7B \
  | 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: fe2fbddbac9d3266e568702db4e5a6f86b112535ce4932cd11b6c21adea38074

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8fcc2234f56efafd57362836cb023a26b98dda8faf1cbf98f31bf1978cb00a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-17T09:27:24Z",
    "title_canon_sha256": "96162b63777bf65feca9d4cead4762ef04c49c5e987b6116a1b2e092c037c742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05934",
    "kind": "arxiv",
    "version": 2
  }
}