Pith Number

pith:XAY3T6G6

pith:2018:XAY3T6G643Q3HLRZIS5NIUSGYS

not attested not anchored not stored refs pending

On the Moser-Trudinger inequality in complex space

Per Ahag, Rafal Czyz

arxiv:1808.08078 v1 · 2018-08-24 · math.CV · 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{XAY3T6G643Q3HLRZIS5NIUSGYS}

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	2026-05-17T23:41:22.103266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b831b9f8dee6e1b3ae3944bad45246c4b7d6ec61d8ab3cf623f37acfae2a12e4

Aliases

arxiv: 1808.08078 · arxiv_version: 1808.08078v1 · doi: 10.48550/arxiv.1808.08078 · pith_short_12: XAY3T6G643Q3 · pith_short_16: XAY3T6G643Q3HLRZ · pith_short_8: XAY3T6G6

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/XAY3T6G643Q3HLRZIS5NIUSGYS \
  | 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: b831b9f8dee6e1b3ae3944bad45246c4b7d6ec61d8ab3cf623f37acfae2a12e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e89948beb56c48f8d74a5ce1883db22f92076bcd81d1ce396987b39bcf108361",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-08-24T10:27:59Z",
    "title_canon_sha256": "b0ec16fed42df4c86ab78c51eb93b40aa295ab7e0e273250b986fd84e43d6315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08078",
    "kind": "arxiv",
    "version": 1
  }
}