Pith Number

pith:3KXHBGZV

pith:2013:3KXHBGZVUOAN22Q45Z5WETR2WU

not attested not anchored not stored refs pending

Boundedness of Relative Convolutions on Nilpotent Lie Groups

Vladimir V. Kisil

arxiv:1307.3882 v1 · 2013-07-15 · math.FA · math.AP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KXHBGZVUOAN22Q45Z5WETR2WU}

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	2026-05-18T03:18:19.747591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

daae709b35a380dd6a1cee7b624e3ab52852b38cc30b82f2bf08140a3acdda31

Aliases

arxiv: 1307.3882 · arxiv_version: 1307.3882v1 · doi: 10.48550/arxiv.1307.3882 · pith_short_12: 3KXHBGZVUOAN · pith_short_16: 3KXHBGZVUOAN22Q4 · pith_short_8: 3KXHBGZV

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/3KXHBGZVUOAN22Q45Z5WETR2WU \
  | 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: daae709b35a380dd6a1cee7b624e3ab52852b38cc30b82f2bf08140a3acdda31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37ab852c50ff362996f0a0c6873aa2431f1bf18c732f16a16f2ca2a88b7f2ea2",
    "cross_cats_sorted": [
      "math.AP",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-15T10:51:02Z",
    "title_canon_sha256": "308d93451c28180aa4396bb34badc8a632cb2648abc3d564a54869b4d828e76f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3882",
    "kind": "arxiv",
    "version": 1
  }
}