Pith Number

pith:QL7GBX6F

pith:2018:QL7GBX6FWL6SEOSXLJMFBBSYTM

not attested not anchored not stored refs pending

Jumps of Milnor numbers of Brieskorn-Pham singularities in non-degenerate families

Justyna Walewska, Tadeusz Krasi\'nski

arxiv:1803.05324 v1 · 2018-03-13 · 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{QL7GBX6FWL6SEOSXLJMFBBSYTM}

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	2026-05-18T00:21:01.589432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82fe60dfc5b2fd223a575a585086589b1cc036885800aa10386d1fccf7bedc3c

Aliases

arxiv: 1803.05324 · arxiv_version: 1803.05324v1 · doi: 10.48550/arxiv.1803.05324 · pith_short_12: QL7GBX6FWL6S · pith_short_16: QL7GBX6FWL6SEOSX · pith_short_8: QL7GBX6F

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/QL7GBX6FWL6SEOSXLJMFBBSYTM \
  | 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: 82fe60dfc5b2fd223a575a585086589b1cc036885800aa10386d1fccf7bedc3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8155ee195ad2ae37e54ce2c1e6fcb334939d34abef0d8659d820c8507e5c6ee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-03-13T08:23:28Z",
    "title_canon_sha256": "2ca0b982d2077f635bcce1d591a561c2dcd08a02e206f27ed2786f37414931b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.05324",
    "kind": "arxiv",
    "version": 1
  }
}