Pith Number

pith:EATGZU5X

pith:2025:EATGZU5XH2SUOZVIVDYC3RSMBQ

not attested not anchored not stored refs pending

Existence, equivalence and spectrality of infinite convolutions in $\R^d$

Hongbo Zhao, Junjie Miao

arxiv:2506.06670 v1 · 2025-06-07 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EATGZU5XH2SUOZVIVDYC3RSMBQ}

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	2026-07-05T11:17:53.734645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20266cd3b73ea54766a8a8f02dc64c0c39dded1e07cdda8fe71d20e561266a67

Aliases

arxiv: 2506.06670 · arxiv_version: 2506.06670v1 · doi: 10.48550/arxiv.2506.06670 · pith_short_12: EATGZU5XH2SU · pith_short_16: EATGZU5XH2SUOZVI · pith_short_8: EATGZU5X

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/EATGZU5XH2SUOZVIVDYC3RSMBQ \
  | 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: 20266cd3b73ea54766a8a8f02dc64c0c39dded1e07cdda8fe71d20e561266a67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc57afeda200a95f46b9325c1c49f8f9606a4da4eebc73c60e3ba1f9506b43df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-06-07T05:28:05Z",
    "title_canon_sha256": "6e42b7d9ae74ab8d72273a1517149e2375842d6d1b98677b581edd814789aa19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06670",
    "kind": "arxiv",
    "version": 1
  }
}