Pith Number

pith:6ASH6JEC

pith:2012:6ASH6JECQ5OCDDNWXZ6Z3RD6HT

not attested not anchored not stored refs pending

Embedded Three Dimensional CR Manifolds and the Non-Negativity of Paneitz Operators

Hung-Lin Chiu, Paul Yang, Sagun Chanillo

arxiv:1208.5230 v1 · 2012-08-26 · math.CV · 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{6ASH6JECQ5OCDDNWXZ6Z3RD6HT}

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	2026-05-18T03:47:00.052422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0247f2482875c218db6be7d9dc47e3cf8435431bbf307dc570373be4f8e4174

Aliases

arxiv: 1208.5230 · arxiv_version: 1208.5230v1 · doi: 10.48550/arxiv.1208.5230 · pith_short_12: 6ASH6JECQ5OC · pith_short_16: 6ASH6JECQ5OCDDNW · pith_short_8: 6ASH6JEC

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/6ASH6JECQ5OCDDNWXZ6Z3RD6HT \
  | 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: f0247f2482875c218db6be7d9dc47e3cf8435431bbf307dc570373be4f8e4174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "883cb4c9b35caad88be7f9e66a25a235bbed81be883d29d4c4b00b8f30637047",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-08-26T15:34:19Z",
    "title_canon_sha256": "fd935c60aeae2e32165d009a2a754731d31bae43836d3dc2208cfb2e612ad941"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5230",
    "kind": "arxiv",
    "version": 1
  }
}