Pith Number

pith:TG5DPMLU

pith:2026:TG5DPMLUG2QJLTDS7Y25A3GOY6

not attested not anchored not stored refs pending

Bochner-Riesz means on the Heisenberg group

Andreas Seeger, Betsy Stovall, Detlef M\"uller, Lars Niedorf

arxiv:2607.02189 v1 · 2026-07-02 · 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{TG5DPMLUG2QJLTDS7Y25A3GOY6}

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	2026-07-03T01:17:44.489253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99ba37b17436a095cc72fe35d06ccec7911df9010aa11b5caff6c9de0cf1c492

Aliases

arxiv: 2607.02189 · arxiv_version: 2607.02189v1 · doi: 10.48550/arxiv.2607.02189 · pith_short_12: TG5DPMLUG2QJ · pith_short_16: TG5DPMLUG2QJLTDS · pith_short_8: TG5DPMLU

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/TG5DPMLUG2QJLTDS7Y25A3GOY6 \
  | 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: 99ba37b17436a095cc72fe35d06ccec7911df9010aa11b5caff6c9de0cf1c492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8280125787751ad50b3a34c65b95ba34fdfd4150eb994cb79b57da005d382e31",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-07-02T13:58:26Z",
    "title_canon_sha256": "06d1d6cedba54e61376df535b5d315d2dd3930d279e9c46dcf356b2c5c06548d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02189",
    "kind": "arxiv",
    "version": 1
  }
}