Pith Number

pith:L7NMYT4E

pith:2019:L7NMYT4EQ2Z24SVAGGKFM5VQTM

not attested not anchored not stored refs pending

Nonnegativity of the CR Paneitz operator for embeddable CR manifolds

Yuya Takeuchi

arxiv:1908.07672 v3 · 2019-08-21 · math.DG · math.AP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7NMYT4EQ2Z24SVAGGKFM5VQTM}

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	2026-07-05T02:02:50.900041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fdacc4f8486b3ae4aa031945676b09b2be4f88bdef831f143ac16c9d73857da

Aliases

arxiv: 1908.07672 · arxiv_version: 1908.07672v3 · doi: 10.48550/arxiv.1908.07672 · pith_short_12: L7NMYT4EQ2Z2 · pith_short_16: L7NMYT4EQ2Z24SVA · pith_short_8: L7NMYT4E

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/L7NMYT4EQ2Z24SVAGGKFM5VQTM \
  | 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: 5fdacc4f8486b3ae4aa031945676b09b2be4f88bdef831f143ac16c9d73857da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae682a725fb569c8c928297683e3fd00da528a2b55be83c9382c0c0a1d7defd",
    "cross_cats_sorted": [
      "math.AP",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-21T02:03:34Z",
    "title_canon_sha256": "5aa50b47841a86dbae0f187fe040b413eafe81684a8759bf071c324729216831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07672",
    "kind": "arxiv",
    "version": 3
  }
}