Pith Number

pith:WPY7TXVV

pith:2023:WPY7TXVVVE4YOWCAP7LANZOIK6

not attested not anchored not stored refs pending

Existence and spectrality of infinite convolutions generated by infinitely many admissible pairs

Hongbo Zhao, Junjie Miao

arxiv:2312.16863 v2 · 2023-12-28 · 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{WPY7TXVVVE4YOWCAP7LANZOIK6}

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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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T11:13:06.709877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3f1f9deb5a9398758407fd606e5c8578a98a62c471df54b0f150774826611f3

Aliases

arxiv: 2312.16863 · arxiv_version: 2312.16863v2 · doi: 10.48550/arxiv.2312.16863 · pith_short_12: WPY7TXVVVE4Y · pith_short_16: WPY7TXVVVE4YOWCA · pith_short_8: WPY7TXVV

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/WPY7TXVVVE4YOWCAP7LANZOIK6 \
  | 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: b3f1f9deb5a9398758407fd606e5c8578a98a62c471df54b0f150774826611f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b71b9bdc4dfc814a1af296058b099a53decf1c4e02994a72b4c857411699100d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-12-28T07:13:21Z",
    "title_canon_sha256": "be12600b9403abe11a1086757c9d21c6bcaf18541aa2f2fa1638e6c70cdc20e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.16863",
    "kind": "arxiv",
    "version": 2
  }
}