Pith Number

pith:VZUPFUJX

pith:2024:VZUPFUJXDSPU4DS5LJQERHBVL4

not attested not anchored not stored refs pending

On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian

Jing Mao, Ruifeng Chen

arxiv:2403.08070 v3 · 2024-03-12 · math.AP · math.DG

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\usepackage{pith}
\pithnumber{VZUPFUJXDSPU4DS5LJQERHBVL4}

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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

2 papers in Pith

A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues

The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues

Receipt and verification

First computed	2026-07-05T11:20:02.707531Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae68f2d1371c9f4e0e5d5a60489c355f1c7377e2fd86929df335938e34773792

Aliases

arxiv: 2403.08070 · arxiv_version: 2403.08070v3 · doi: 10.48550/arxiv.2403.08070 · pith_short_12: VZUPFUJXDSPU · pith_short_16: VZUPFUJXDSPU4DS5 · pith_short_8: VZUPFUJX

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/VZUPFUJXDSPU4DS5LJQERHBVL4 \
  | 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: ae68f2d1371c9f4e0e5d5a60489c355f1c7377e2fd86929df335938e34773792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8b6d49c2e2209942e8062fe9f409e3ec17de3330a8a22ab562f655d1046c702",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-03-12T20:45:10Z",
    "title_canon_sha256": "b8383f47c70a95831eae38534d549fe5d4a8b8e8c174c2a9654ee7dce12af46b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.08070",
    "kind": "arxiv",
    "version": 3
  }
}