Pith Number

pith:XXLNRZBF

pith:2026:XXLNRZBFDLDJ6LA7FSJ3QP7UNB

not attested not anchored not stored refs pending

P\'olya's Conjecture for the Neumann Laplacian on Euclidean Balls

Yutian Li

arxiv:2607.25958 v1 · 2026-07-28 · math.SP · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XXLNRZBFDLDJ6LA7FSJ3QP7UNB}

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	2026-07-29T01:26:13.073449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd6d8e4251ac69f2c1f2c93b83ff46844361fe437d9dc59beb98c9e840a9ce2

Aliases

arxiv: 2607.25958 · arxiv_version: 2607.25958v1 · doi: 10.48550/arxiv.2607.25958 · pith_short_12: XXLNRZBFDLDJ · pith_short_16: XXLNRZBFDLDJ6LA7 · pith_short_8: XXLNRZBF

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/XXLNRZBFDLDJ6LA7FSJ3QP7UNB \
  | 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: bdd6d8e4251ac69f2c1f2c93b83ff46844361fe437d9dc59beb98c9e840a9ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77fb4ebb9c62743b3549bb391d8ae825a7225f029cbbcc31464745b54d24b5fe",
    "cross_cats_sorted": [
      "math.AP",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2026-07-28T16:43:50Z",
    "title_canon_sha256": "14b4086b59b70e5b13806b55a6352afc8b8c0a7a3f26e7aa90971617610c8544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25958",
    "kind": "arxiv",
    "version": 1
  }
}