Pith Number

pith:C24UQF3Z

pith:2026:C24UQF3ZKRLQ7BHR2ETXJEZHAM

not attested not anchored not stored refs pending

Surjective isometries on the positive parts of the unit spheres of some function spaces

Daisuke Hirota, Hironao Koshimizu, Min-Ruei Lin, Yuta Enami

arxiv:2606.30952 v1 · 2026-06-29 · 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{C24UQF3ZKRLQ7BHR2ETXJEZHAM}

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	2026-07-01T00:17:22.623702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16b948177954570f84f1d1277493270328250067577843037a88be8a2cca9049

Aliases

arxiv: 2606.30952 · arxiv_version: 2606.30952v1 · doi: 10.48550/arxiv.2606.30952 · pith_short_12: C24UQF3ZKRLQ · pith_short_16: C24UQF3ZKRLQ7BHR · pith_short_8: C24UQF3Z

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/C24UQF3ZKRLQ7BHR2ETXJEZHAM \
  | 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: 16b948177954570f84f1d1277493270328250067577843037a88be8a2cca9049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b90e723dc74ceac2ee63c54a444b7bf6cf965a32ad8afc109e5de8025249fd3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-06-29T22:13:52Z",
    "title_canon_sha256": "4fe970901b357a0b4ab26a9a411a507100b000cec033b1a5ec0658fcc7f1a12e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30952",
    "kind": "arxiv",
    "version": 1
  }
}