Pith Number

pith:R32ZFNGV

pith:2026:R32ZFNGVWSLZOZTSF7LI77ORGA

not attested not anchored not stored refs pending

A non-testing characterization of bounded and compact composition operators on $\mathcal Q_p$ spaces

Bingyang Hu, Xiaojing Zhou

arxiv:2606.08907 v1 · 2026-06-08 · math.CV · math.CA · 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{R32ZFNGVWSLZOZTSF7LI77ORGA}

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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.

Receipt and verification

First computed	2026-06-09T02:07:46.622123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ef592b4d5b4979766722fd68ffdd130002c1b062f771775b6371cc28192be1b

Aliases

arxiv: 2606.08907 · arxiv_version: 2606.08907v1 · doi: 10.48550/arxiv.2606.08907 · pith_short_12: R32ZFNGVWSLZ · pith_short_16: R32ZFNGVWSLZOZTS · pith_short_8: R32ZFNGV

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/R32ZFNGVWSLZOZTSF7LI77ORGA \
  | 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: 8ef592b4d5b4979766722fd68ffdd130002c1b062f771775b6371cc28192be1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e4a301ae9b2b6ea148cd50bb0733cadb42b6ad3b1f5b33c3fd66aa8d6419c28",
    "cross_cats_sorted": [
      "math.CA",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2026-06-08T01:11:48Z",
    "title_canon_sha256": "aea7117b924fc271c3f9a4f019634ae23233045e552cd70a4c7e597d452b512b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.08907",
    "kind": "arxiv",
    "version": 1
  }
}