Pith Number

pith:BRU5OFAA

pith:2012:BRU5OFAAN56VLXACUGQDMY6BAH

not attested not anchored not stored refs pending

An improved geometric inequality via vanishing moments, with applications to singular Liouville equations

Andrea Malchiodi, Daniele Bartolucci

arxiv:1206.0225 v2 · 2012-06-01 · 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{BRU5OFAAN56VLXACUGQDMY6BAH}

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	2026-05-18T01:57:08.827146Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c69d714006f7d55dc02a1a03663c101ddcc705241c0fe1ed5ed9dc3a56e9462

Aliases

arxiv: 1206.0225 · arxiv_version: 1206.0225v2 · doi: 10.48550/arxiv.1206.0225 · pith_short_12: BRU5OFAAN56V · pith_short_16: BRU5OFAAN56VLXAC · pith_short_8: BRU5OFAA

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/BRU5OFAAN56VLXACUGQDMY6BAH \
  | 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: 0c69d714006f7d55dc02a1a03663c101ddcc705241c0fe1ed5ed9dc3a56e9462

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "facd6c8b0c4a350fd4f4bb200de21ab95f9e15a8a6186512f95f7e0dacb62c03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-01T15:30:39Z",
    "title_canon_sha256": "a3b9693a8866f1eaba7fa8ba49fdfee0e8ec8bcb3b26ff25dbbd50e2d7ba0717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.0225",
    "kind": "arxiv",
    "version": 2
  }
}