Pith Number

pith:VB5U5PER

pith:2011:VB5U5PERGXIXLFIF42ZIEB7U6W

not attested not anchored not stored refs pending

The dual eigenvalue problems for $p$-Laplacian

Wei-Cheng Lian, Wei-Chuan Wang, Y.H. Cheng

arxiv:1105.2182 v1 · 2011-05-11 · 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{VB5U5PERGXIXLFIF42ZIEB7U6W}

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	2026-05-18T04:22:21.354021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87b4ebc9135d1759505e6b28207f4f58fd26f0aa75c27288934e351451dbea0

Aliases

arxiv: 1105.2182 · arxiv_version: 1105.2182v1 · doi: 10.48550/arxiv.1105.2182 · pith_short_12: VB5U5PERGXIX · pith_short_16: VB5U5PERGXIXLFIF · pith_short_8: VB5U5PER

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/VB5U5PERGXIXLFIF42ZIEB7U6W \
  | 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: a87b4ebc9135d1759505e6b28207f4f58fd26f0aa75c27288934e351451dbea0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7867c13b6d319b12bc46582de69d150cb28fbf4d133bea606f058e4b40815c49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-05-11T13:23:53Z",
    "title_canon_sha256": "68e4bbaedf6e8e0f7b21e8bf946469cc4314e77b0058bd58fdf8fffd41a98ecc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2182",
    "kind": "arxiv",
    "version": 1
  }
}