Pith Number

pith:FC332LZH

pith:2011:FC332LZH5WH74MVCBW77TGS6NV

not attested not anchored not stored refs pending

On compactness in the Trudinger-Moser inequality

Adimurthi, Kyril Tintarev

arxiv:1110.3647 v3 · 2011-10-17 · 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{FC332LZH5WH74MVCBW77TGS6NV}

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	2026-05-18T03:29:27.833274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b7bd2f27ed8ffe32a20dbff99a5e6d7857ec297838a7dc8ffb0f085bc32a58

Aliases

arxiv: 1110.3647 · arxiv_version: 1110.3647v3 · doi: 10.48550/arxiv.1110.3647 · pith_short_12: FC332LZH5WH7 · pith_short_16: FC332LZH5WH74MVC · pith_short_8: FC332LZH

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/FC332LZH5WH74MVCBW77TGS6NV \
  | 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: 28b7bd2f27ed8ffe32a20dbff99a5e6d7857ec297838a7dc8ffb0f085bc32a58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2478c7079f42cb5ad1e26dec21ced0fcd1b022eb23fa780f00663a9c15131e53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-17T12:21:20Z",
    "title_canon_sha256": "3677d594ac0b7fe79ea4aa41e6f8437e6cb7ccbdef475005a11d95dc5c0a1bb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3647",
    "kind": "arxiv",
    "version": 3
  }
}