Pith Number

pith:SSQKH7ZK

pith:2012:SSQKH7ZKOVTPE6BNCIX4SYEK47

not attested not anchored not stored refs pending

Frequency of Harmonic functions in Carnot groups and for operators of Baouendi type

Kevin Rotz, Nicola Garofalo

arxiv:1212.6061 v1 · 2012-12-25 · 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{SSQKH7ZKOVTPE6BNCIX4SYEK47}

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	2026-05-18T03:37:42.912092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a0a3ff2a7566f2782d122fc9608ae7f88674a3c42ce09dbbff4ff32eec517c

Aliases

arxiv: 1212.6061 · arxiv_version: 1212.6061v1 · doi: 10.48550/arxiv.1212.6061 · pith_short_12: SSQKH7ZKOVTP · pith_short_16: SSQKH7ZKOVTPE6BN · pith_short_8: SSQKH7ZK

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/SSQKH7ZKOVTPE6BNCIX4SYEK47 \
  | 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: 94a0a3ff2a7566f2782d122fc9608ae7f88674a3c42ce09dbbff4ff32eec517c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba2752fffb24465c315f3de29d6d4ee3acb1705ea9bc3ebae00b2eb62cd108f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-25T14:35:51Z",
    "title_canon_sha256": "c8eca516ff4767822b3d5ab3b773e626a669636f22eee8ee998bc94f8abd9be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6061",
    "kind": "arxiv",
    "version": 1
  }
}