Pith Number

pith:TGRKDF6I

pith:2016:TGRKDF6IW6QOKYHGPZ5L6C3Q3B

not attested not anchored not stored refs pending

Resolvent Estimates and Smoothing for Homogeneous Operators on Graded Lie Groups

Marius Mantoiu

arxiv:1608.07750 v1 · 2016-08-27 · math.FA · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGRKDF6IW6QOKYHGPZ5L6C3Q3B}

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	2026-05-18T01:07:49.994742Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a2a197c8b7a0e560e67e7abf0b70d84d115b662212b1d6aec9751e067019d0

Aliases

arxiv: 1608.07750 · arxiv_version: 1608.07750v1 · doi: 10.48550/arxiv.1608.07750 · pith_short_12: TGRKDF6IW6QO · pith_short_16: TGRKDF6IW6QOKYHG · pith_short_8: TGRKDF6I

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/TGRKDF6IW6QOKYHGPZ5L6C3Q3B \
  | 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: 99a2a197c8b7a0e560e67e7abf0b70d84d115b662212b1d6aec9751e067019d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f36bbf344610063eb9430bb0a3f6c250cd06e31d653992f9f9334cfbd71a5ced",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-27T23:47:09Z",
    "title_canon_sha256": "55deb97f72b53bb1e7b529e6eba85be6bd518404f298ec771945c41e7aba67d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07750",
    "kind": "arxiv",
    "version": 1
  }
}