Pith Number

pith:7XWCWLQA

pith:2019:7XWCWLQAHLUUZ4PJ5OCWR4XHM7

not attested not anchored not stored refs pending

The circular maximal operator on Heisenberg radial functions

Andreas Seeger, David Beltran, Jonathan Hickman, Shaoming Guo

arxiv:1912.11718 v2 · 2019-12-25 · 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{7XWCWLQAHLUUZ4PJ5OCWR4XHM7}

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	2026-07-05T02:06:06.034353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdec2b2e003ae94cf1e9eb8568f2e767f8391a0bcbef3675165f4e3d529a656f

Aliases

arxiv: 1912.11718 · arxiv_version: 1912.11718v2 · doi: 10.48550/arxiv.1912.11718 · pith_short_12: 7XWCWLQAHLUU · pith_short_16: 7XWCWLQAHLUUZ4PJ · pith_short_8: 7XWCWLQA

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/7XWCWLQAHLUUZ4PJ5OCWR4XHM7 \
  | 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: fdec2b2e003ae94cf1e9eb8568f2e767f8391a0bcbef3675165f4e3d529a656f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bde93c2f42ddae7b86c1232d50e9c30e2ec9b48674056c2826c4b462510c90b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-12-25T21:23:22Z",
    "title_canon_sha256": "bb2be2174c33ede980b33f9559092f4fc2a728e7316c4d7b63c4d69c7ab48d55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.11718",
    "kind": "arxiv",
    "version": 2
  }
}