Pith Number

pith:XBW2PA6V

pith:2013:XBW2PA6VFG4RX6GHT36QCKOOQA

not attested not anchored not stored refs pending

A Monotonicity Formula and a Liouville-type Theorem for a Fourth Order Supercritical Problem

Juan Davila, Juncheng Wei, Kelei Wang, Louis Dupaigne

arxiv:1303.6059 v1 · 2013-03-25 · math.AP · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XBW2PA6VFG4RX6GHT36QCKOOQA}

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	2026-05-18T03:29:52.081235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b86da783d529b91bf8c79efd0129ce8017aa468a918d2c0ff7a9ec9ec3ce557b

Aliases

arxiv: 1303.6059 · arxiv_version: 1303.6059v1 · doi: 10.48550/arxiv.1303.6059 · pith_short_12: XBW2PA6VFG4R · pith_short_16: XBW2PA6VFG4RX6GH · pith_short_8: XBW2PA6V

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/XBW2PA6VFG4RX6GHT36QCKOOQA \
  | 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: b86da783d529b91bf8c79efd0129ce8017aa468a918d2c0ff7a9ec9ec3ce557b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac9581519cc1efbe67d04ee629b3645100a1b9d54d296842a1a3dae9f75cc84",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-03-25T09:33:57Z",
    "title_canon_sha256": "c0fc5d699bf02a1407c75c226f7fe0a182f1ecf993f9a3840af837bd6322cfb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6059",
    "kind": "arxiv",
    "version": 1
  }
}