Pith Number

pith:NWWQW7TM

pith:2008:NWWQW7TMMYSNKVYIS7GPZGDGSV

not attested not anchored not stored refs pending

Landau's necessary density conditions for LCA groups

G. Kutyniok, K. Gr\"ochenig, K. Seip

arxiv:0803.3529 v1 · 2008-03-25 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWWQW7TMMYSNKVYIS7GPZGDGSV}

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	2026-05-18T04:32:56.182585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dad0b7e6c6624d5570897ccfc98669560654432e42ad31c48f1c15bf047dd8f

Aliases

arxiv: 0803.3529 · arxiv_version: 0803.3529v1 · doi: 10.48550/arxiv.0803.3529 · pith_short_12: NWWQW7TMMYSN · pith_short_16: NWWQW7TMMYSNKVYI · pith_short_8: NWWQW7TM

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/NWWQW7TMMYSNKVYIS7GPZGDGSV \
  | 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: 6dad0b7e6c6624d5570897ccfc98669560654432e42ad31c48f1c15bf047dd8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "848779ab1cae8dd75d6f730002189410b904ab7b92ec7898969e5231d8f84af2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2008-03-25T11:11:19Z",
    "title_canon_sha256": "a61c5f74d4d1eb49acb4b7f09602f868ba9c96ffdeb14610bebde2613c7e8b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.3529",
    "kind": "arxiv",
    "version": 1
  }
}