Pith Number

pith:LICCGKED

pith:2018:LICCGKEDA44ARZPAJOEMV5IMM3

not attested not anchored not stored refs pending

Sobolev spaces on Lie groups: embedding theorems and algebra properties

Anita Tabacco, Marco M. Peloso, Maria Vallarino, Tommaso Bruno

arxiv:1804.10154 v1 · 2018-04-26 · math.FA · 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{LICCGKEDA44ARZPAJOEMV5IMM3}

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	2026-05-18T00:17:25.008711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a04232883073808e5e04b88caf50c66f7fda06b5c139bb177a4afd6cd7a54b7

Aliases

arxiv: 1804.10154 · arxiv_version: 1804.10154v1 · doi: 10.48550/arxiv.1804.10154 · pith_short_12: LICCGKEDA44A · pith_short_16: LICCGKEDA44ARZPA · pith_short_8: LICCGKED

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/LICCGKEDA44ARZPAJOEMV5IMM3 \
  | 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: 5a04232883073808e5e04b88caf50c66f7fda06b5c139bb177a4afd6cd7a54b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea925b3202dfa12a783072f4fed573ffacb169b927d0b73ed06cb9226056f3db",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-04-26T16:30:33Z",
    "title_canon_sha256": "e11fa28ece0630fb3240aa6f45de86e8353a6e323601570c5fd6e31669c61b16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.10154",
    "kind": "arxiv",
    "version": 1
  }
}