Pith Number

pith:XTZS66KY

pith:2011:XTZS66KYHJCXBNAFJVJEPKKCGQ

not attested not anchored not stored refs pending

On the Eigenvalue of $p(x)$-Laplace Equation

Yongqiang Fu, Yushan Jiang

arxiv:1105.4225 v1 · 2011-05-21 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTZS66KYHJCXBNAFJVJEPKKCGQ}

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	2026-05-18T04:21:29.564242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf32f79583a4570b4054d5247a942342c7e530ca87623a0874d2d5f2f00448b

Aliases

arxiv: 1105.4225 · arxiv_version: 1105.4225v1 · doi: 10.48550/arxiv.1105.4225 · pith_short_12: XTZS66KYHJCX · pith_short_16: XTZS66KYHJCXBNAF · pith_short_8: XTZS66KY

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/XTZS66KYHJCXBNAFJVJEPKKCGQ \
  | 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: bcf32f79583a4570b4054d5247a942342c7e530ca87623a0874d2d5f2f00448b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc467e1e1fa98e0c3f5d0ace9c6633dbf4e59cb987e1d92f38fe24fa757d1914",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-05-21T08:08:26Z",
    "title_canon_sha256": "576b4eeb59c9c71d62803ee69a1377c3f52df5e6ecc18ce44555d1195eebd8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4225",
    "kind": "arxiv",
    "version": 1
  }
}