Pith Number

pith:VIUQTDRR

pith:2011:VIUQTDRRK3ZVUH4T3OE2QT6HPO

not attested not anchored not stored refs pending

$\mathcal{C}^{\infty}$-hypoellipticity and extension of $CR$ functions

Egmont Porten, Mauro Nacinovich

arxiv:1107.3374 v2 · 2011-07-18 · 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{VIUQTDRRK3ZVUH4T3OE2QT6HPO}

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	2026-05-18T04:09:26.989368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa29098e3156f35a1f93db89a84fc77ba3ba68501c7ca8bbdb5a1e8e1f5cfcc5

Aliases

arxiv: 1107.3374 · arxiv_version: 1107.3374v2 · doi: 10.48550/arxiv.1107.3374 · pith_short_12: VIUQTDRRK3ZV · pith_short_16: VIUQTDRRK3ZVUH4T · pith_short_8: VIUQTDRR

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/VIUQTDRRK3ZVUH4T3OE2QT6HPO \
  | 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: aa29098e3156f35a1f93db89a84fc77ba3ba68501c7ca8bbdb5a1e8e1f5cfcc5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2307d5324d4bf52f97546764f6f74943d73a5adb5dd20a06c9a834bd3a0c5928",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-07-18T08:03:35Z",
    "title_canon_sha256": "2bdfd0979e5537c257989a0a442cf5196c99550f3deb8aa1a3498ed9f61ee0d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3374",
    "kind": "arxiv",
    "version": 2
  }
}