Pith Number

pith:4RMJBX7O

pith:2002:4RMJBX7OIJ3OJ7KCPYDSXZDF3S

not attested not anchored not stored refs pending

Subcritical Stein manifolds are split

Kai Cieliebak

arxiv:math/0204351 v1 · 2002-04-30 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RMJBX7OIJ3OJ7KCPYDSXZDF3S}

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	2026-07-04T14:36:10.301420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45890dfee4276e4fd427e072be465dcbbcad7639fb591093c4467bb84b0945e

Aliases

arxiv: math/0204351 · arxiv_version: math/0204351v1 · doi: 10.48550/arxiv.math/0204351 · pith_short_12: 4RMJBX7OIJ3O · pith_short_16: 4RMJBX7OIJ3OJ7KC · pith_short_8: 4RMJBX7O

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/4RMJBX7OIJ3OJ7KCPYDSXZDF3S \
  | 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: e45890dfee4276e4fd427e072be465dcbbcad7639fb591093c4467bb84b0945e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee688244032153fc6bd30bcb18f41965f00deee4f8291441cb8a7abc53be336a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-04-30T11:54:22Z",
    "title_canon_sha256": "75f9c12cac5abbeaeaf68a30d9287ef2a9e30cc95d2fc781c9f5a8cb9a89c94c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0204351",
    "kind": "arxiv",
    "version": 1
  }
}