Pith Number

pith:OQ4JYSD6

pith:2018:OQ4JYSD6VWB75JGGXV5ZRNJZCK

not attested not anchored not stored refs pending

Infinitely many solutions of a class of elliptic equations with variable exponent

Chang-Mu Chu, Haidong Liu

arxiv:1810.08397 v1 · 2018-10-19 · 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{OQ4JYSD6VWB75JGGXV5ZRNJZCK}

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	2026-05-18T00:02:48.218915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74389c487ead83fea4c6bd7b98b53912af002d5fddff552de3b187486bf70d94

Aliases

arxiv: 1810.08397 · arxiv_version: 1810.08397v1 · doi: 10.48550/arxiv.1810.08397 · pith_short_12: OQ4JYSD6VWB7 · pith_short_16: OQ4JYSD6VWB75JGG · pith_short_8: OQ4JYSD6

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/OQ4JYSD6VWB75JGGXV5ZRNJZCK \
  | 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: 74389c487ead83fea4c6bd7b98b53912af002d5fddff552de3b187486bf70d94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b4de1ebe952aa9949830a19a778a93b8f96be975a28e7bbd759e52ac92a4318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-19T08:35:53Z",
    "title_canon_sha256": "ca0552bf473fc7fb540af3a4b456eb10a3e2b1d8b96790559214b13d3afe9acc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08397",
    "kind": "arxiv",
    "version": 1
  }
}