Pith Number

pith:RP254WAY

pith:2017:RP254WAYU377GCILO6RDWPN3ES

not attested not anchored not stored refs pending

Weighted $L^p-$spaces on nilpotent, locally compact groups

Mateusz Krukowski

arxiv:1709.07190 v2 · 2017-09-21 · 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{RP254WAYU377GCILO6RDWPN3ES}

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	2026-05-18T00:32:04.966976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf5de5818a6fff3090b77a23b3dbb24aedfeee0bfd0019abb6583627ff0f65a

Aliases

arxiv: 1709.07190 · arxiv_version: 1709.07190v2 · doi: 10.48550/arxiv.1709.07190 · pith_short_12: RP254WAYU377 · pith_short_16: RP254WAYU377GCIL · pith_short_8: RP254WAY

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/RP254WAYU377GCILO6RDWPN3ES \
  | 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: 8bf5de5818a6fff3090b77a23b3dbb24aedfeee0bfd0019abb6583627ff0f65a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e11f072f7289655ddd6d6aa2b0bcc3dda02a858a20a241e8fe04b912288d9a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-09-21T07:48:40Z",
    "title_canon_sha256": "5e0fd328d83c02f9d33f4a765e503f346ec7ff6c4eed14e60a25be81f4e10c39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.07190",
    "kind": "arxiv",
    "version": 2
  }
}