Pith Number

pith:LZC6GHCT

pith:2011:LZC6GHCTF6DAXLKIQAHZJB7W3M

not attested not anchored not stored refs pending

The boundary of the Milnor fibre of complex and real analytic non-isolated singularities

Aurelio Menegon Neto, Javier Fernandez de Bobadilla

arxiv:1106.4956 v3 · 2011-06-24 · math.AG · 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{LZC6GHCTF6DAXLKIQAHZJB7W3M}

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	2026-05-18T03:29:27.931943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e45e31c532f860bad48800f9487f6db17bca3c00ef3900ea49a435868c3f760

Aliases

arxiv: 1106.4956 · arxiv_version: 1106.4956v3 · doi: 10.48550/arxiv.1106.4956 · pith_short_12: LZC6GHCTF6DA · pith_short_16: LZC6GHCTF6DAXLKI · pith_short_8: LZC6GHCT

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/LZC6GHCTF6DAXLKIQAHZJB7W3M \
  | 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: 5e45e31c532f860bad48800f9487f6db17bca3c00ef3900ea49a435868c3f760

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bee956aabae9f55cd7c48bd50c5b8efea16b35ff13f7993fd5ec7f2b2d922283",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-24T12:53:03Z",
    "title_canon_sha256": "4d45ca0cb44e545ced7504d9205cdc769781c45a81de07652f1a2e2652063d26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4956",
    "kind": "arxiv",
    "version": 3
  }
}