Pith Number

pith:ITO2QHQR

pith:2016:ITO2QHQRPNSBWGJQCV2QIVCMOA

not attested not anchored not stored refs pending

Complex powers for a class of infinite order hypoelliptic operators

Bojan Prangoski, Stevan Pilipovi\'c

arxiv:1609.03728 v2 · 2016-09-13 · 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{ITO2QHQRPNSBWGJQCV2QIVCMOA}

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	2026-05-18T00:27:57.631023Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44dda81e117b641b1930157504544c703639c66c7c0cf9442916c251f069531e

Aliases

arxiv: 1609.03728 · arxiv_version: 1609.03728v2 · doi: 10.48550/arxiv.1609.03728 · pith_short_12: ITO2QHQRPNSB · pith_short_16: ITO2QHQRPNSBWGJQ · pith_short_8: ITO2QHQR

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/ITO2QHQRPNSBWGJQCV2QIVCMOA \
  | 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: 44dda81e117b641b1930157504544c703639c66c7c0cf9442916c251f069531e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01716a5f3e79a7b08fe9d132c016b7819d9bdd529705effe771adcfb8d8e1733",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-09-13T08:50:05Z",
    "title_canon_sha256": "3a3231c654a6041137db9ff3f59129c5eb8a919a23975c73149fd31aa0d581ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03728",
    "kind": "arxiv",
    "version": 2
  }
}