Pith Number

pith:EGFEQY6F

pith:2015:EGFEQY6FWXGU2CBROIOFRDCXUT

not attested not anchored not stored refs pending

Non-degenerate jump of Milnor numbers of surface singularities

Justyna Walewska, Szymon Brzostowski, Tadeusz Krasi\'nski

arxiv:1508.02704 v3 · 2015-08-11 · 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{EGFEQY6FWXGU2CBROIOFRDCXUT}

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	2026-05-18T01:01:34.640455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218a4863c5b5cd4d0831721c588c57a4f63c3e6b8c799923560f3e655eb71fab

Aliases

arxiv: 1508.02704 · arxiv_version: 1508.02704v3 · doi: 10.48550/arxiv.1508.02704 · pith_short_12: EGFEQY6FWXGU · pith_short_16: EGFEQY6FWXGU2CBR · pith_short_8: EGFEQY6F

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/EGFEQY6FWXGU2CBROIOFRDCXUT \
  | 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: 218a4863c5b5cd4d0831721c588c57a4f63c3e6b8c799923560f3e655eb71fab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de1c432c095d9be22dd6256e40f2c68dba98db18a7163106b760bdf54c984aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-08-11T19:53:04Z",
    "title_canon_sha256": "048e60a25f85ecb4f72ef5044b70e4763610f39720f873812d0ffb56311e51fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.02704",
    "kind": "arxiv",
    "version": 3
  }
}