Pith Number

pith:K25B4YLK

pith:2017:K25B4YLKYRM4LVZWM7DPXIHCJO

not attested not anchored not stored refs pending

The Bi-Lipschitz Equisingularity of Essentially Isolated Determinantal Singularities

Miriam S. Pereira, Nivaldo G. Grulha Jr, Thiago F. da Silva

arxiv:1705.07180 v5 · 2017-05-10 · math.CA · 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{K25B4YLKYRM4LVZWM7DPXIHCJO}

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	2026-05-17T23:54:26.787903Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56ba1e616ac459c5d73667c6fba0e24bb98a47f7e2b815e17df3878d88a33243

Aliases

arxiv: 1705.07180 · arxiv_version: 1705.07180v5 · doi: 10.48550/arxiv.1705.07180 · pith_short_12: K25B4YLKYRM4 · pith_short_16: K25B4YLKYRM4LVZW · pith_short_8: K25B4YLK

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/K25B4YLKYRM4LVZWM7DPXIHCJO \
  | 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: 56ba1e616ac459c5d73667c6fba0e24bb98a47f7e2b815e17df3878d88a33243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bda0413dabec3d167b74b23a957853d265a3aff3f2bb46a7f8bd7baec7306147",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-05-10T20:13:09Z",
    "title_canon_sha256": "96b33f21f4eb44fffff76789281d27cc72fd3524fa04b0ecf0dd66600ea974a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07180",
    "kind": "arxiv",
    "version": 5
  }
}