Pith Number

pith:PIM2MIGE

pith:2022:PIM2MIGEN7LXQ2DSSBX3JCBTUJ

not attested not anchored not stored refs pending

Spectral Gap Inequalities on Nilpotent Lie Groups in Infinite Dimensions

Boguslaw Zegarlinski, Esther Bou Dagher, Mengchun Zhang, Yaozhong Qiu

arxiv:2211.14188 v1 · 2022-11-25 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIM2MIGEN7LXQ2DSSBX3JCBTUJ}

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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

1 paper in Pith

Optimal subelliptic super-Poincar\'e and isoperimetric inequalities on stratified Lie groups

Receipt and verification

First computed	2026-07-05T05:19:30.312339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a19a620c46fd7786872906fb48833a267dbd5387001f3255aaadc75d6adc5a2

Aliases

arxiv: 2211.14188 · arxiv_version: 2211.14188v1 · doi: 10.48550/arxiv.2211.14188 · pith_short_12: PIM2MIGEN7LX · pith_short_16: PIM2MIGEN7LXQ2DS · pith_short_8: PIM2MIGE

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/PIM2MIGEN7LXQ2DSSBX3JCBTUJ \
  | 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: 7a19a620c46fd7786872906fb48833a267dbd5387001f3255aaadc75d6adc5a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34a49f3ccd168c4d168e4ea35eac4fafb9eb759667bfa8422065f4ee4727d3d5",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-11-25T15:44:03Z",
    "title_canon_sha256": "cc180113c3dff89a934720cd6413d79d0a36e0ccd65626e6e2483eadf1b18820"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.14188",
    "kind": "arxiv",
    "version": 1
  }
}