Pith Number

pith:KSLWRHOZ

pith:2010:KSLWRHOZZDLS5MSGLAS2NTKPKJ

not attested not anchored not stored refs pending

Classical Analysis and Nilpotent Lie Groups

Joseph A. Wolf

arxiv:1012.1289 v1 · 2010-12-06 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSLWRHOZZDLS5MSGLAS2NTKPKJ}

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	2026-05-18T04:34:01.630282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5497689dd9c8d72eb2465825a6cd4f526a25606ec262aab1ddf298b999167096

Aliases

arxiv: 1012.1289 · arxiv_version: 1012.1289v1 · doi: 10.48550/arxiv.1012.1289 · pith_short_12: KSLWRHOZZDLS · pith_short_16: KSLWRHOZZDLS5MSG · pith_short_8: KSLWRHOZ

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/KSLWRHOZZDLS5MSGLAS2NTKPKJ \
  | 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: 5497689dd9c8d72eb2465825a6cd4f526a25606ec262aab1ddf298b999167096

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a5958ae580c0baced9f594c11123051bdfc524c225f2b31b71d6eaa4451f220",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-12-06T19:21:06Z",
    "title_canon_sha256": "1a48e77247c1b88828912c3537b0f6634eb0e80331dd0b49b8fc28b683512d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1289",
    "kind": "arxiv",
    "version": 1
  }
}