Pith Number

pith:ZOPCVHIO

pith:2019:ZOPCVHIOXZAYXA2SYTHDAFGRUL

not attested not anchored not stored refs pending

A maximum principle on unbounded domains and a Liouville theorem for fractional p-harmonic functions

Leyun Wu, Wenxiong Chen

arxiv:1905.09986 v1 · 2019-05-24 · 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{ZOPCVHIOXZAYXA2SYTHDAFGRUL}

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	2026-05-17T23:45:13.838635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb9e2a9d0ebe418b8352c4ce3014d1a2d6b0e989335a191609b09e7593d2af6a

Aliases

arxiv: 1905.09986 · arxiv_version: 1905.09986v1 · doi: 10.48550/arxiv.1905.09986 · pith_short_12: ZOPCVHIOXZAY · pith_short_16: ZOPCVHIOXZAYXA2S · pith_short_8: ZOPCVHIO

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/ZOPCVHIOXZAYXA2SYTHDAFGRUL \
  | 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: cb9e2a9d0ebe418b8352c4ce3014d1a2d6b0e989335a191609b09e7593d2af6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54716d6bb91a1613f415549d28792e492e8d4ca9d25555fee39a8f731adc9754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-24T01:07:16Z",
    "title_canon_sha256": "2ceed7a51962b94356366ef5eae2b1a7dcf6c657b4ca6cd8b714f5c32c9cb3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09986",
    "kind": "arxiv",
    "version": 1
  }
}