Pith Number

pith:35XVBTHJ

pith:2025:35XVBTHJGSR5WMY5IKLRWX43L6

not attested not anchored not stored refs pending

The Rhaly Operators on K\"othe Spaces

Nazl{\i} Do\u{g}an

arxiv:2507.20214 v3 · 2025-07-27 · math.FA · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{35XVBTHJGSR5WMY5IKLRWX43L6}

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	2026-06-19T16:10:30.598037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df6f50cce934a3db331d42971b5f9b5fb7951bfc5959c3459a2f0f3d740240a3

Aliases

arxiv: 2507.20214 · arxiv_version: 2507.20214v3 · doi: 10.48550/arxiv.2507.20214 · pith_short_12: 35XVBTHJGSR5 · pith_short_16: 35XVBTHJGSR5WMY5 · pith_short_8: 35XVBTHJ

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/35XVBTHJGSR5WMY5IKLRWX43L6 \
  | 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: df6f50cce934a3db331d42971b5f9b5fb7951bfc5959c3459a2f0f3d740240a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8def5bbead971a952b10bfa4b83594dbe683a2f05f8f5f9fb73b3b0ce58c0e93",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-07-27T10:40:25Z",
    "title_canon_sha256": "97b10c27d6ce2ae9b9bd6deb3bc1caaf54382c4710d2094579c6b7de145c69ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.20214",
    "kind": "arxiv",
    "version": 3
  }
}