Pith Number

pith:WYMH23ZN

pith:2019:WYMH23ZNKBMQNGAFYQL6EYSMHG

not attested not anchored not stored refs pending

Lower bounds for eigenvalues of the Steklov eigenvalue problem with variable coefficients

Hai Bi, Yidu Yang, Yu Zhang

arxiv:1908.09087 v1 · 2019-08-24 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYMH23ZNKBMQNGAFYQL6EYSMHG}

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	2026-07-04T23:59:36.656441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6187d6f2d5059069805c417e2624c39a018de5072574c6abf3953be5b1d4e9f

Aliases

arxiv: 1908.09087 · arxiv_version: 1908.09087v1 · doi: 10.48550/arxiv.1908.09087 · pith_short_12: WYMH23ZNKBMQ · pith_short_16: WYMH23ZNKBMQNGAF · pith_short_8: WYMH23ZN

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/WYMH23ZNKBMQNGAFYQL6EYSMHG \
  | 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: b6187d6f2d5059069805c417e2624c39a018de5072574c6abf3953be5b1d4e9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c07e33ef335221056e9f71eb00e1da2d492792a41e13698d026560227e812147",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-08-24T03:49:55Z",
    "title_canon_sha256": "b671686dcf1cca54024be8f53f29c008a6054ade243daa754fcfc670e1c8278a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.09087",
    "kind": "arxiv",
    "version": 1
  }
}