Pith Number

pith:QEVM26KU

pith:2025:QEVM26KU57WZ47B3ZI3MU7EGXV

not attested not anchored not stored refs pending

Deep estimates for higher eigenvalues of the poly-Laplacian

Hongwei Xu, Zhengchao Ji

arxiv:2508.04069 v2 · 2025-08-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QEVM26KU57WZ47B3ZI3MU7EGXV}

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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.

Cited by

1 paper in Pith

Improved lower bounds for Dirichlet eigenvalues of the Laplacian and poly-Laplacian on bounded Euclidean domains

Receipt and verification

First computed	2026-07-05T12:04:39.194841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

812acd7954efed9e7c3bca36ca7c86bd6ac2f2cc1a209b1931859321a67814cd

Aliases

arxiv: 2508.04069 · arxiv_version: 2508.04069v2 · doi: 10.48550/arxiv.2508.04069 · pith_short_12: QEVM26KU57WZ · pith_short_16: QEVM26KU57WZ47B3 · pith_short_8: QEVM26KU

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/QEVM26KU57WZ47B3ZI3MU7EGXV \
  | 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: 812acd7954efed9e7c3bca36ca7c86bd6ac2f2cc1a209b1931859321a67814cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5946c9808673318fbb8341310a515aa1cff0f3b6273a250a50f9694cb133c6df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-08-06T04:03:51Z",
    "title_canon_sha256": "153064487cffcfb55a83dd614efb88c7783bd928ea7564b64edb6e7209be030c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.04069",
    "kind": "arxiv",
    "version": 2
  }
}