Pith Number

pith:3IQEDPM4

pith:2015:3IQEDPM4IYJE3ZMO2KNFV5F4PO

not attested not anchored not stored refs pending

Non-compact Newton boundary and Whitney equisingularity for non-isolated singularities

Christophe Eyral, Mutsuo Oka

arxiv:1512.04248 v1 · 2015-12-14 · 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{3IQEDPM4IYJE3ZMO2KNFV5F4PO}

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	2026-05-18T01:24:22.725289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da2041bd9c46124de58ed29a5af4bc7b86dfbe08a76d383df91a4d8801d9ea33

Aliases

arxiv: 1512.04248 · arxiv_version: 1512.04248v1 · doi: 10.48550/arxiv.1512.04248 · pith_short_12: 3IQEDPM4IYJE · pith_short_16: 3IQEDPM4IYJE3ZMO · pith_short_8: 3IQEDPM4

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/3IQEDPM4IYJE3ZMO2KNFV5F4PO \
  | 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: da2041bd9c46124de58ed29a5af4bc7b86dfbe08a76d383df91a4d8801d9ea33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "244284fa30a3bf0ac861099afbf6aeca190c88b8b2062f16f10c90d96b0c2ed8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-14T10:38:16Z",
    "title_canon_sha256": "25f6eb39cc6dbc8f71e6f3cafcc7c18b44e89808076ae852e96a45932588b182"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04248",
    "kind": "arxiv",
    "version": 1
  }
}