Pith Number

pith:NPYN6K27

pith:2010:NPYN6K27KXZMJCPBKR5L4G7MIE

not attested not anchored not stored refs pending

Generalized elliptic functions and their application to a nonlinear eigenvalue problem with $p$-Laplacian

Shingo Takeuchi

arxiv:1001.0377 v2 · 2010-01-03 · math.AP · 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{NPYN6K27KXZMJCPBKR5L4G7MIE}

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	2026-05-17T23:51:44.989465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6bf0df2b5f55f2c489e1547abe1bec4134a8f64f57fb76212621b50f0eef4b39

Aliases

arxiv: 1001.0377 · arxiv_version: 1001.0377v2 · doi: 10.48550/arxiv.1001.0377 · pith_short_12: NPYN6K27KXZM · pith_short_16: NPYN6K27KXZMJCPB · pith_short_8: NPYN6K27

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/NPYN6K27KXZMJCPBKR5L4G7MIE \
  | 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: 6bf0df2b5f55f2c489e1547abe1bec4134a8f64f57fb76212621b50f0eef4b39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa6694dc2e60bbbc5f5d71b53e3ab3bca435b6bf069cb3e650decdd934468a6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-03T14:58:46Z",
    "title_canon_sha256": "be0b7234fa6abeecfd5b35377210adc25a139105c0cd844ac301a27dd0e0d824"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0377",
    "kind": "arxiv",
    "version": 2
  }
}