Pith Number

pith:FJMJETCI

pith:2012:FJMJETCIS6U5M3CHAR2IRTJVD2

not attested not anchored not stored refs pending

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

Egmont Porten, Mauro Nacinovich

arxiv:1201.1704 v1 · 2012-01-09 · 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{FJMJETCIS6U5M3CHAR2IRTJVD2}

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	2026-05-18T04:04:55.868525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a58924c4897a9d66c47047488cd351e91479692c1c8f96e7efa65f516575df5

Aliases

arxiv: 1201.1704 · arxiv_version: 1201.1704v1 · doi: 10.48550/arxiv.1201.1704 · pith_short_12: FJMJETCIS6U5 · pith_short_16: FJMJETCIS6U5M3CH · pith_short_8: FJMJETCI

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/FJMJETCIS6U5M3CHAR2IRTJVD2 \
  | 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: 2a58924c4897a9d66c47047488cd351e91479692c1c8f96e7efa65f516575df5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2307d5324d4bf52f97546764f6f74943d73a5adb5dd20a06c9a834bd3a0c5928",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-01-09T08:03:21Z",
    "title_canon_sha256": "b1231e9976e5b28e20f41b325de3227ca7c7149f1cc82d3be470fe4222f2a9af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1704",
    "kind": "arxiv",
    "version": 1
  }
}