Pith Number

pith:H74HPZBA

pith:2026:H74HPZBADN6VXZZFVPMZV5C74J

not attested not anchored not stored refs pending

Liouville type theorems for fully nonlinear elliptic equations in exterior domains in half spaces

Dongsheng Li, Rulin Liu

arxiv:2605.28199 v1 · 2026-05-27 · 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{H74HPZBADN6VXZZFVPMZV5C74J}

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	2026-05-28T01:05:01.953004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ff877e4201b7d5be725abd99af45fe25ceb8c651cab8a9eca7571e0c316dce5

Aliases

arxiv: 2605.28199 · arxiv_version: 2605.28199v1 · doi: 10.48550/arxiv.2605.28199 · pith_short_12: H74HPZBADN6V · pith_short_16: H74HPZBADN6VXZZF · pith_short_8: H74HPZBA

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/H74HPZBADN6VXZZFVPMZV5C74J \
  | 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: 3ff877e4201b7d5be725abd99af45fe25ceb8c651cab8a9eca7571e0c316dce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80666558f04d84e0fef0a8642fdb1c7e70c0f71b6444403eb036f74b6da47861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-05-27T09:23:36Z",
    "title_canon_sha256": "804d7031c3bd605f8cf3cce15a2242b09d27cc4c02e1d02ad8976b18bdbd9871"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28199",
    "kind": "arxiv",
    "version": 1
  }
}