Pith Number

pith:5QK7APLF

pith:2016:5QK7APLFRVSHLADYBTQC7VPMSB

not attested not anchored not stored refs pending

Real submanifolds of maximum complex tangent space at a CR singular point, I

Laurent Stolovitch (JAD), Xianghong Gong

arxiv:1602.08330 v1 · 2016-02-26 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5QK7APLFRVSHLADYBTQC7VPMSB}

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	2026-05-18T00:54:40.619148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec15f03d658d647580780ce02fd5ec9058b285a0471103a79eb16ad8cbfb868a

Aliases

arxiv: 1602.08330 · arxiv_version: 1602.08330v1 · doi: 10.48550/arxiv.1602.08330 · pith_short_12: 5QK7APLFRVSH · pith_short_16: 5QK7APLFRVSHLADY · pith_short_8: 5QK7APLF

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/5QK7APLFRVSHLADYBTQC7VPMSB \
  | 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: ec15f03d658d647580780ce02fd5ec9058b285a0471103a79eb16ad8cbfb868a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b82c0904b0ff9693f04027f1d114499f9c53a1bf5226831df189d53ff866874e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-02-26T14:14:29Z",
    "title_canon_sha256": "d402fa439ba211875f5065cb7e3892be3fecbb7a318facde414748649a39a00b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08330",
    "kind": "arxiv",
    "version": 1
  }
}