Pith Number

pith:KYL23KUM

pith:2014:KYL23KUMLZJWABMMKNN52L3J4B

not attested not anchored not stored refs pending

The {\L}ojasiewicz Exponent of Semiquasihomogeneous Singularities

Computer Science, Poland), Szymon Brzostowski (1) ((1) Faculty of Mathematics, University of \L\'od\'z

arxiv:1405.5179 v1 · 2014-05-20 · math.AG · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYL23KUMLZJWABMMKNN52L3J4B}

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	2026-05-18T02:51:25.919171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5617adaa8c5e5360058c535bdd2f69e04e6de9b58c6f6cb55d705b5f15f45138

Aliases

arxiv: 1405.5179 · arxiv_version: 1405.5179v1 · doi: 10.48550/arxiv.1405.5179 · pith_short_12: KYL23KUMLZJW · pith_short_16: KYL23KUMLZJWABMM · pith_short_8: KYL23KUM

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/KYL23KUMLZJWABMMKNN52L3J4B \
  | 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: 5617adaa8c5e5360058c535bdd2f69e04e6de9b58c6f6cb55d705b5f15f45138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b888e7fa51b8114bd591a44e2353aa6a6afcffc1506985972728d70a6d143e58",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-05-20T18:11:46Z",
    "title_canon_sha256": "2cdbdf5aedd675be7a68433ffb6b9d9ce6f0de4a161e9299219962c011ee674d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5179",
    "kind": "arxiv",
    "version": 1
  }
}