Pith Number

pith:LT66QA24

pith:2015:LT66QA24DJPZZMKBZLDLHOOXOR

not attested not anchored not stored refs pending

Sharp Adams and Moser-Trudinger inequalities on R^n and other spaces of infinite measure

Carlo Morpurgo, Luigi Fontana

arxiv:1504.04678 v3 · 2015-04-18 · 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{LT66QA24DJPZZMKBZLDLHOOXOR}

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	2026-05-18T01:36:47.881470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5cfde8035c1a5f9cb141cac6b3b9d7744b7caa6d4195c2c69ec31087a664ac20

Aliases

arxiv: 1504.04678 · arxiv_version: 1504.04678v3 · doi: 10.48550/arxiv.1504.04678 · pith_short_12: LT66QA24DJPZ · pith_short_16: LT66QA24DJPZZMKB · pith_short_8: LT66QA24

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/LT66QA24DJPZZMKBZLDLHOOXOR \
  | 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: 5cfde8035c1a5f9cb141cac6b3b9d7744b7caa6d4195c2c69ec31087a664ac20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5215bc279191fbe38a9c58a995240bfbeadb84d66a52c65a71fa2aecb3c3024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-04-18T03:24:49Z",
    "title_canon_sha256": "421741d75b0b9801511e5844a3df2f82c8b8ec6768d4da41a90a51b09e9b631e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04678",
    "kind": "arxiv",
    "version": 3
  }
}