Pith Number

pith:LNYZC4CJ

pith:2012:LNYZC4CJWMT4R5US6R56VSZAUI

not attested not anchored not stored refs pending

Topology of real Milnor fibration for non-isolated singularities

Nicolas Dutertre (LATP), Raimundo N. Ara\'ujo Dos Santos (ICMC)

arxiv:1211.6233 v1 · 2012-11-27 · math.AG · 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{LNYZC4CJWMT4R5US6R56VSZAUI}

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	2026-05-18T03:39:52.199119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b71917049b327c8f692f47beacb20a20de3f790afc5a4b6f3b3ef96002e62f1

Aliases

arxiv: 1211.6233 · arxiv_version: 1211.6233v1 · doi: 10.48550/arxiv.1211.6233 · pith_short_12: LNYZC4CJWMT4 · pith_short_16: LNYZC4CJWMT4R5US · pith_short_8: LNYZC4CJ

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/LNYZC4CJWMT4R5US6R56VSZAUI \
  | 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: 5b71917049b327c8f692f47beacb20a20de3f790afc5a4b6f3b3ef96002e62f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70dbcd41ad37164579e0ff859708fc2e21a2f398658de4ed91cd9d9f70dbc937",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-11-27T08:26:45Z",
    "title_canon_sha256": "2b74db8aa82b58990093cdec3be63ce80ac2ff83a02bd886081ed5844a00ae8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6233",
    "kind": "arxiv",
    "version": 1
  }
}