Pith Number

pith:H2KXBHIQ

pith:2014:H2KXBHIQLCANLGDH6ZLBMX5YHQ

not attested not anchored not stored refs pending

The Moser-Trudinger-Onofri inequality

Gaspard Jankowiak (CEREMADE), Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE)

arxiv:1403.5042 v3 · 2014-03-20 · 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{H2KXBHIQLCANLGDH6ZLBMX5YHQ}

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	2026-05-18T02:03:55.626913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e95709d105880d59867f656165fb83c33efda02cf025275fd3dc51590f0c8cf

Aliases

arxiv: 1403.5042 · arxiv_version: 1403.5042v3 · doi: 10.48550/arxiv.1403.5042 · pith_short_12: H2KXBHIQLCAN · pith_short_16: H2KXBHIQLCANLGDH · pith_short_8: H2KXBHIQ

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/H2KXBHIQLCANLGDH6ZLBMX5YHQ \
  | 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: 3e95709d105880d59867f656165fb83c33efda02cf025275fd3dc51590f0c8cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f84849d4b3dd4a4d2c591d3cc5bcb2a2ac41b7526e725149b3f1cda9d8e1eb33",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-03-20T05:24:20Z",
    "title_canon_sha256": "cb7ab66fbdd4c08ccc2d9723b3e84a7aa9b97386b999f5ec8750d82dd7d28a87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5042",
    "kind": "arxiv",
    "version": 3
  }
}