Pith Number

pith:F227YE3O

pith:2016:F227YE3O575DJ2KOORQIKIQDG6

not attested not anchored not stored refs pending

On sign-changing solutions for $(p,q)$-Laplace equations with two parameters

Mieko Tanaka, Vladimir Bobkov

arxiv:1606.06092 v2 · 2016-06-20 · 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{F227YE3O575DJ2KOORQIKIQDG6}

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	2026-05-17T23:51:20.294527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eb5fc136eeffa34e94e7460852203378f78f56513c3bfb0e80a38c39b131a1b

Aliases

arxiv: 1606.06092 · arxiv_version: 1606.06092v2 · doi: 10.48550/arxiv.1606.06092 · pith_short_12: F227YE3O575D · pith_short_16: F227YE3O575DJ2KO · pith_short_8: F227YE3O

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/F227YE3O575DJ2KOORQIKIQDG6 \
  | 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: 2eb5fc136eeffa34e94e7460852203378f78f56513c3bfb0e80a38c39b131a1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f0555fcdfd0d96fcf704c47805baf927324196020059daa7fd448e9379beda3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-20T12:41:27Z",
    "title_canon_sha256": "d45c42ddcee49b25b1121526e803a1e2dcfdf548ae4433b169a34364a9ba4fd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06092",
    "kind": "arxiv",
    "version": 2
  }
}