Pith Number

pith:G4OCPZ2D

pith:2016:G4OCPZ2DPHENA2MQZXPWI5WYV3

not attested not anchored not stored refs pending

Extremal function for Moser-Trudinger type Inequality with Logarithmic weight

Prosenjit Roy

arxiv:1602.04585 v1 · 2016-02-15 · 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{G4OCPZ2DPHENA2MQZXPWI5WYV3}

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	2026-05-18T01:20:49.598136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

371c27e74379c8d06990cddf6476d8aec770907d210f6914e2ee6219642e34f6

Aliases

arxiv: 1602.04585 · arxiv_version: 1602.04585v1 · doi: 10.48550/arxiv.1602.04585 · pith_short_12: G4OCPZ2DPHEN · pith_short_16: G4OCPZ2DPHENA2MQ · pith_short_8: G4OCPZ2D

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/G4OCPZ2DPHENA2MQZXPWI5WYV3 \
  | 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: 371c27e74379c8d06990cddf6476d8aec770907d210f6914e2ee6219642e34f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f35de394721fb3a0eb2c6209cd2690080f8efa7b8b1ae6bea03664183c1ea6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-02-15T08:04:26Z",
    "title_canon_sha256": "6cb81c8224a18c5ce7c8eafbd5dbbf615af360405e38ef79793d2651911ef0e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04585",
    "kind": "arxiv",
    "version": 1
  }
}