Pith Number

pith:ZHCECGM6

pith:2026:ZHCECGM6NSRPXLTA457CVMRI3Y

not attested not anchored not stored refs pending

Positivity and non-positivity results for the sixth-order $Q$-curvature of conformal metrics in $\mathbb{R}^n$

J\'er\^ome V\'etois, Samuel Zeitler

arxiv:2607.18205 v1 · 2026-07-20 · math.DG · 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{ZHCECGM6NSRPXLTA457CVMRI3Y}

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	2026-07-21T02:22:27.425746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c441199e6ca2fbae60e77e2ab228de0fd390809669550886113d84cdadfa45

Aliases

arxiv: 2607.18205 · arxiv_version: 2607.18205v1 · doi: 10.48550/arxiv.2607.18205 · pith_short_12: ZHCECGM6NSRP · pith_short_16: ZHCECGM6NSRPXLTA · pith_short_8: ZHCECGM6

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/ZHCECGM6NSRPXLTA457CVMRI3Y \
  | 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: c9c441199e6ca2fbae60e77e2ab228de0fd390809669550886113d84cdadfa45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce03b4229e0838fc2c35f6ed333f127ade4857c9b92098fd13a9c825c4128d87",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-20T17:43:21Z",
    "title_canon_sha256": "6ae6d388d96cfb52742a4e017e2b8e28260cfecc0567b4bb6357c8b601dc5835"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.18205",
    "kind": "arxiv",
    "version": 1
  }
}