Pith Number

pith:AT2BP7WD

pith:2017:AT2BP7WDBNTKSSDAADETXHIWXQ

not attested not anchored not stored refs pending

Liouville's theorem and comparison results for solutions of degenerate elliptic equations in exterior domains

Andre Rodrigues Silva, Leonardo Prange Bonorino, Paulo Ricardo de Avila Zingano

arxiv:1705.04426 v1 · 2017-05-12 · 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{AT2BP7WDBNTKSSDAADETXHIWXQ}

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	2026-07-05T02:52:11.072877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04f417fec30b66a9486000c93b9d16bc0376222f2b7f12d8bf7364b605073854

Aliases

arxiv: 1705.04426 · arxiv_version: 1705.04426v1 · doi: 10.48550/arxiv.1705.04426 · pith_short_12: AT2BP7WDBNTK · pith_short_16: AT2BP7WDBNTKSSDA · pith_short_8: AT2BP7WD

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/AT2BP7WDBNTKSSDAADETXHIWXQ \
  | 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: 04f417fec30b66a9486000c93b9d16bc0376222f2b7f12d8bf7364b605073854

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe8d2d7c7e8ef5405549a80e70310b8468e544bab64bca4bf53f4b7be5cce65b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-05-12T02:34:21Z",
    "title_canon_sha256": "4cade03ad10e40942b261d16215467cc188cd9ed4fe61f5ee2eff9158b5d3e9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04426",
    "kind": "arxiv",
    "version": 1
  }
}