Pith Number

pith:WR2NJLZE

pith:2014:WR2NJLZEOQCXGZIBQHSDVWNHIP

not attested not anchored not stored refs pending

Milnor numbers in deformations of homogeneous singularities

Justyna Walewska, Szymon Brzostowski, Tadeusz Krasinski

arxiv:1404.7704 v2 · 2014-04-30 · 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{WR2NJLZEOQCXGZIBQHSDVWNHIP}

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	2026-05-18T00:58:41.546572Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b474d4af24740573650181e43ad9a743d87d61df00ef4e47b21b8a2ce1651830

Aliases

arxiv: 1404.7704 · arxiv_version: 1404.7704v2 · doi: 10.48550/arxiv.1404.7704 · pith_short_12: WR2NJLZEOQCX · pith_short_16: WR2NJLZEOQCXGZIB · pith_short_8: WR2NJLZE

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/WR2NJLZEOQCXGZIBQHSDVWNHIP \
  | 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: b474d4af24740573650181e43ad9a743d87d61df00ef4e47b21b8a2ce1651830

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7901b87d5cb3e0bbf9fa174bc50706290e9aa5875053073a0a34c172bcf1fb07",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-04-30T12:52:42Z",
    "title_canon_sha256": "d99781444d120b88dfc475aee4e35502f67245ddc5df7284d9e7dec484f30c4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.7704",
    "kind": "arxiv",
    "version": 2
  }
}