Pith Number

pith:J2X7MBER

pith:2022:J2X7MBERMURCPEXULBGS54EVYZ

not attested not anchored not stored refs pending

A pseudodifferential calculus for maximally hypoelliptic operators and the Helffer-Nourrigat conjecture

Iakovos Androulidakis, Omar Mohsen, Robert Yuncken

arxiv:2201.12060 v2 · 2022-01-28 · math.AP · math.DG · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J2X7MBERMURCPEXULBGS54EVYZ}

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.

Cited by

5 papers in Pith

Noncommutative Geometry, Spectral Asymptotics, and Semiclassical Analysis

Quantization on filtered manifolds

On longitudinal differential operators and Nash blowups

Sharp mapping properties of Poisson transforms and the Baum-Connes conjecture

Noncommutative Geometry, Spectral Asymptotics, and Semiclassical Analysis

Receipt and verification

First computed	2026-07-05T05:23:07.787285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4eaff6049165222792f4584d2ef095c67e3515b69b1b2ce9200abcaef7305c5d

Aliases

arxiv: 2201.12060 · arxiv_version: 2201.12060v2 · doi: 10.48550/arxiv.2201.12060 · pith_short_12: J2X7MBERMURC · pith_short_16: J2X7MBERMURCPEXU · pith_short_8: J2X7MBER

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/J2X7MBERMURCPEXULBGS54EVYZ \
  | 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: 4eaff6049165222792f4584d2ef095c67e3515b69b1b2ce9200abcaef7305c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3617398dd303f74ddfe560fc4e35572dcaed1478bfa44c8b288765f45771262c",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA",
      "math.OA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-28T12:01:56Z",
    "title_canon_sha256": "6caf62d52714bb3b63789d304355bfca554e61aab73a502f656ad3f805f774ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.12060",
    "kind": "arxiv",
    "version": 2
  }
}