Pith Number

pith:MCGH6SLP

pith:2008:MCGH6SLPNH5NOM4MNQDI6NTOLY

not attested not anchored not stored refs pending

Codimension one foliations with Bott-Morse singularities II

Bruno Scardua, Jose Seade

arxiv:0810.4847 v2 · 2008-10-27 · math.GT · 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{MCGH6SLPNH5NOM4MNQDI6NTOLY}

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	2026-05-18T02:24:56.878731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

608c7f496f69fad7338c6c068f366e5e0b04c429772056918cfd39e99c133daf

Aliases

arxiv: 0810.4847 · arxiv_version: 0810.4847v2 · doi: 10.48550/arxiv.0810.4847 · pith_short_12: MCGH6SLPNH5N · pith_short_16: MCGH6SLPNH5NOM4M · pith_short_8: MCGH6SLP

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/MCGH6SLPNH5NOM4MNQDI6NTOLY \
  | 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: 608c7f496f69fad7338c6c068f366e5e0b04c429772056918cfd39e99c133daf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a730d32a4348001a9a572bc8b0ccc24390ae0bf61783ffe3f1270898cfaeb44",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-10-27T15:52:20Z",
    "title_canon_sha256": "8c135ce6b8b8cd9aa67af79b4c18a4fdfc9c97a1e885a2e514c00b3e62661f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4847",
    "kind": "arxiv",
    "version": 2
  }
}