Pith Number

pith:GTDGFOOI

pith:2004:GTDGFOOIW4HUBJNAKNLURBSVW3

not attested not anchored not stored refs pending

On non-integrable complex distributions: an approach by transversality with real domains

Bruno Scardua, Toshikazu Ito

arxiv:math/0406421 v2 · 2004-06-22 · math.CV · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTDGFOOIW4HUBJNAKNLURBSVW3}

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	2026-05-18T04:33:18.450680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541

Aliases

arxiv: math/0406421 · arxiv_version: math/0406421v2 · doi: 10.48550/arxiv.math/0406421 · pith_short_12: GTDGFOOIW4HU · pith_short_16: GTDGFOOIW4HUBJNA · pith_short_8: GTDGFOOI

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/GTDGFOOIW4HUBJNAKNLURBSVW3 \
  | 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: 34c662b9c8b70f40a5a05357488655b6f4220f8afd06de917a109a8273ac7541

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beeb5ed682ca964827600a36ce4f49c273f9d0c52154a0322c5c3911c2b01c56",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "2004-06-22T04:08:17Z",
    "title_canon_sha256": "2ff45fd7b882189d6523a95fc0175d03222e42013f00e937981ce648f0157101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406421",
    "kind": "arxiv",
    "version": 2
  }
}