Pith Number

pith:LMXFBKZS

pith:2010:LMXFBKZS2XZWDHG45ETQXC773C

not attested not anchored not stored refs pending

Carrousel in family and non-isolated hypersurface singularities in $C^3$

Anne Pichon, Fran\c{c}oise Michel

arxiv:1011.6503 v2 · 2010-11-30 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LMXFBKZS2XZWDHG45ETQXC773C}

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	2026-05-18T02:58:43.667741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b2e50ab32d5f3619cdce9270b8bffd88f9e3793e5878fd126828abe3186e807

Aliases

arxiv: 1011.6503 · arxiv_version: 1011.6503v2 · doi: 10.48550/arxiv.1011.6503 · pith_short_12: LMXFBKZS2XZW · pith_short_16: LMXFBKZS2XZWDHG4 · pith_short_8: LMXFBKZS

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/LMXFBKZS2XZWDHG45ETQXC773C \
  | 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: 5b2e50ab32d5f3619cdce9270b8bffd88f9e3793e5878fd126828abe3186e807

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15367a20b66cf2a628153e10652ab492026d84ef850305277d9bdff89ef300dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-30T09:49:34Z",
    "title_canon_sha256": "4afba72e61f5eff3a716a399ca827e6bd8b29b156618057d8a2cfb45a75081dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6503",
    "kind": "arxiv",
    "version": 2
  }
}