Pith Number

pith:3D54PRZZ

pith:2017:3D54PRZZ552GEU6M334HTQDIUG

not attested not anchored not stored refs pending

A remark on energy estimates concerning extremals for Trudinger-Moser inequalities on a disc

Yunyan Yang

arxiv:1712.07776 v1 · 2017-12-21 · 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{3D54PRZZ552GEU6M334HTQDIUG}

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	2026-05-18T00:27:30.912841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8fbc7c739ef746253ccdef879c068a189099b89f8350c0aba9a4d1536b53696

Aliases

arxiv: 1712.07776 · arxiv_version: 1712.07776v1 · doi: 10.48550/arxiv.1712.07776 · pith_short_12: 3D54PRZZ552G · pith_short_16: 3D54PRZZ552GEU6M · pith_short_8: 3D54PRZZ

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/3D54PRZZ552GEU6M334HTQDIUG \
  | 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: d8fbc7c739ef746253ccdef879c068a189099b89f8350c0aba9a4d1536b53696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea162e7f66257d501a1784f65e33e9547f7513af4f97cea043c0ab9ccb9af5d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-21T03:07:51Z",
    "title_canon_sha256": "ddca39694588434f6af720569c5b8013de9ae7c9c7758a251871efde29f0be42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07776",
    "kind": "arxiv",
    "version": 1
  }
}