Pith Number

pith:IC3Z6SNV

pith:2010:IC3Z6SNVYP3AVRZXKQNNHX6EBD

not attested not anchored not stored refs pending

Global hypoellipticity of the Kohn-Laplacian $\Box_b$ on pseudoconvex CR manifolds

Tran Vu Khanh

arxiv:1012.5906 v2 · 2010-12-29 · math.CV · 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{IC3Z6SNVYP3AVRZXKQNNHX6EBD}

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	2026-05-18T00:54:14.206647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40b79f49b5c3f60ac737541ad3dfc408cae6c84e7009c8fb44f40845f85a194e

Aliases

arxiv: 1012.5906 · arxiv_version: 1012.5906v2 · doi: 10.48550/arxiv.1012.5906 · pith_short_12: IC3Z6SNVYP3A · pith_short_16: IC3Z6SNVYP3AVRZX · pith_short_8: IC3Z6SNV

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/IC3Z6SNVYP3AVRZXKQNNHX6EBD \
  | 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: 40b79f49b5c3f60ac737541ad3dfc408cae6c84e7009c8fb44f40845f85a194e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d94deb4fc6019b99e7b6b564906e5b95795c326f608ab00c0abc675cdc2d2bc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-12-29T10:39:03Z",
    "title_canon_sha256": "8266a7d8a745eb21813dab8c371796cd6a7c6b49145a6ae9f27da0a57519490f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5906",
    "kind": "arxiv",
    "version": 2
  }
}