Pith Number

pith:DRV7KWHM

pith:2006:DRV7KWHMZHL3SLOPI4WCZCTIQP

not attested not anchored not stored refs pending

Positive solutions to nonlinear p-Laplace equations with Hardy potential in exterior domains

Sofya Lyakhova, Vitali Liskevich, Vitaly Moroz

arxiv:math/0604469 v1 · 2006-04-21 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRV7KWHMZHL3SLOPI4WCZCTIQP}

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	2026-05-18T00:09:31.800508Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c6bf558ecc9d7b92dcf472c2c8a6883e6d2914e9b0ee4e0bc6df3edccd5b3e9

Aliases

arxiv: math/0604469 · arxiv_version: math/0604469v1 · doi: 10.48550/arxiv.math/0604469 · pith_short_12: DRV7KWHMZHL3 · pith_short_16: DRV7KWHMZHL3SLOP · pith_short_8: DRV7KWHM

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/DRV7KWHMZHL3SLOPI4WCZCTIQP \
  | 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: 1c6bf558ecc9d7b92dcf472c2c8a6883e6d2914e9b0ee4e0bc6df3edccd5b3e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58107cd54195cc05a54ca7072118b1fe57bf9cae468e536fc6465a55a9b5fcbe",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-04-21T17:57:08Z",
    "title_canon_sha256": "bdaab38bdfb84a56f4cb282ec8a1731ca687fc4cbf2b9a5f6fa2bb45fca378ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604469",
    "kind": "arxiv",
    "version": 1
  }
}