Pith Number

pith:PUY6GFLD

pith:2026:PUY6GFLDV3QCTE2HJO22B65EPH

not attested not anchored not stored refs pending

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms

Haiyun Deng, Xiaoping Yang, Xuyong Jiang

arxiv:2607.17882 v1 · 2026-07-20 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PUY6GFLDV3QCTE2HJO22B65EPH}

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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	2026-07-21T02:22:04.892037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d31e31563aee02993474bb5a0fba479c8f96a3983dd53a07d90f8b5acb7b1b9

Aliases

arxiv: 2607.17882 · arxiv_version: 2607.17882v1 · doi: 10.48550/arxiv.2607.17882 · pith_short_12: PUY6GFLDV3QC · pith_short_16: PUY6GFLDV3QCTE2H · pith_short_8: PUY6GFLD

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/PUY6GFLDV3QCTE2HJO22B65EPH \
  | 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: 7d31e31563aee02993474bb5a0fba479c8f96a3983dd53a07d90f8b5acb7b1b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "572daf44b6af8bfa2f62a84a36d277ba75555f3b047c6b119257547e459b2575",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-20T12:32:46Z",
    "title_canon_sha256": "ce81630fb3a08b35617b57a0fe93e616eee8415045449260512b769363c4c583"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.17882",
    "kind": "arxiv",
    "version": 1
  }
}