Pith Number

pith:4SQQETLS

pith:2026:4SQQETLSKIN24M2ZR3BNBMGY3V

not attested not anchored not stored refs pending

Calderon-type commutators and chamber lifting in the Dunkl setting

Eric Sawyer, Ji Li, Liangchuan Wu, Ming-Yi Lee, Yongsheng Han

arxiv:2605.25808 v1 · 2026-05-25 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4SQQETLSKIN24M2ZR3BNBMGY3V}

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	2026-05-26T02:05:12.756768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a1024d72521bae33598ec2d0b0d8dd613acbfaf5a34f742a55ed96b454722f

Aliases

arxiv: 2605.25808 · arxiv_version: 2605.25808v1 · doi: 10.48550/arxiv.2605.25808 · pith_short_12: 4SQQETLSKIN2 · pith_short_16: 4SQQETLSKIN24M2Z · pith_short_8: 4SQQETLS

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/4SQQETLSKIN24M2ZR3BNBMGY3V \
  | 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: e4a1024d72521bae33598ec2d0b0d8dd613acbfaf5a34f742a55ed96b454722f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1c00567072304215293af9af46dea934f4e4371b01f48902d73728a1ec8220a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-25T13:01:43Z",
    "title_canon_sha256": "4d02991347ee2643c1e5ca34a4e48b3c7f4203c4c828dbeb9ea964f98160726d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25808",
    "kind": "arxiv",
    "version": 1
  }
}