Pith Number

pith:VO67UX2L

pith:2014:VO67UX2LJLTPLNAP3KH5XOCBMT

not attested not anchored not stored refs pending

A strong maximum principle for the Paneitz operator and a non-local flow for the $Q$-curvature

Andrea Malchiodi, Matthew J. Gursky

arxiv:1401.3216 v5 · 2014-01-14 · 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{VO67UX2LJLTPLNAP3KH5XOCBMT}

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	2026-05-18T02:44:00.504351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abbdfa5f4b4ae6f5b40fda8fdbb84164f991ad91770b500253bb11a0f3564d2c

Aliases

arxiv: 1401.3216 · arxiv_version: 1401.3216v5 · doi: 10.48550/arxiv.1401.3216 · pith_short_12: VO67UX2LJLTP · pith_short_16: VO67UX2LJLTPLNAP · pith_short_8: VO67UX2L

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/VO67UX2LJLTPLNAP3KH5XOCBMT \
  | 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: abbdfa5f4b4ae6f5b40fda8fdbb84164f991ad91770b500253bb11a0f3564d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6eefa99d53cf6bbe7a288dd66ca1f5bf3bc12e37a46666a06c5eb6c4caf7053d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-01-14T15:16:08Z",
    "title_canon_sha256": "872ad0a3f18097354c696541a93f0c3b60d44491dd385382912c52929d39c16d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.3216",
    "kind": "arxiv",
    "version": 5
  }
}