Pith Number

pith:ECXBKVDH

pith:2018:ECXBKVDHDH36VEHGWPJ5QR4T3D

not attested not anchored not stored refs pending

Nonexistence of extremals for an inequality of Adimurthi-Druet on a closed Riemann surface

Yunyan Yang

arxiv:1812.05884 v1 · 2018-12-14 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECXBKVDHDH36VEHGWPJ5QR4T3D}

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	2026-05-17T23:58:17.872634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ae15546719f7ea90e6b3d3d84793d8c19f1df9c689f075c07d87e9256b7057

Aliases

arxiv: 1812.05884 · arxiv_version: 1812.05884v1 · doi: 10.48550/arxiv.1812.05884 · pith_short_12: ECXBKVDHDH36 · pith_short_16: ECXBKVDHDH36VEHG · pith_short_8: ECXBKVDH

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/ECXBKVDHDH36VEHGWPJ5QR4T3D \
  | 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: 20ae15546719f7ea90e6b3d3d84793d8c19f1df9c689f075c07d87e9256b7057

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fafe93632c3fa6a48f3a1c9dd274f4ffcd953d5f64b6abd219950ab252977ac",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-14T12:37:33Z",
    "title_canon_sha256": "1b1d6d6f7581debd09eb5f889a990eca480b267da15b2d51772a45b9277baa8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05884",
    "kind": "arxiv",
    "version": 1
  }
}