Pith Number

pith:4RX6Z7YG

pith:2010:4RX6Z7YGFFUPLB47J7S35JG4DW

not attested not anchored not stored refs pending

CR transversality of holomorphic mappings between generic submanifolds in complex spaces

Duong Ngoc Son, Peter Ebenfelt

arxiv:1006.0541 v1 · 2010-06-03 · 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{4RX6Z7YGFFUPLB47J7S35JG4DW}

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	2026-05-18T00:54:04.208674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46fecff062968f5879f4fe5bea4dc1da061cf211304357d72cc02fc1ab72e60

Aliases

arxiv: 1006.0541 · arxiv_version: 1006.0541v1 · doi: 10.48550/arxiv.1006.0541 · pith_short_12: 4RX6Z7YGFFUP · pith_short_16: 4RX6Z7YGFFUPLB47 · pith_short_8: 4RX6Z7YG

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/4RX6Z7YGFFUPLB47J7S35JG4DW \
  | 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: e46fecff062968f5879f4fe5bea4dc1da061cf211304357d72cc02fc1ab72e60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55a7d83b153b169e75046ee293b322a253dab975cfb7db8372a03716d596784",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-06-03T02:33:13Z",
    "title_canon_sha256": "4325d31b2d2e67556c04e1720d4c2e1aafdb69b8e8233fd3f14af918ff2e1b60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0541",
    "kind": "arxiv",
    "version": 1
  }
}