Pith Number

pith:PPYDKSU2

pith:2017:PPYDKSU2HQ6RMXRW5FBWGECA2N

not attested not anchored not stored refs pending

{\L}ojasiewicz exponents of non-degenerate holomorohic and mixed functions

Mutsuo Oka

arxiv:1704.06379 v2 · 2017-04-21 · 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{PPYDKSU2HQ6RMXRW5FBWGECA2N}

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	2026-05-18T00:45:25.531156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bf0354a9a3c3d165e36e943631040d343d085ac79c194accabfb552ec298bf0

Aliases

arxiv: 1704.06379 · arxiv_version: 1704.06379v2 · doi: 10.48550/arxiv.1704.06379 · pith_short_12: PPYDKSU2HQ6R · pith_short_16: PPYDKSU2HQ6RMXRW · pith_short_8: PPYDKSU2

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/PPYDKSU2HQ6RMXRW5FBWGECA2N \
  | 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: 7bf0354a9a3c3d165e36e943631040d343d085ac79c194accabfb552ec298bf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "447d7f00a2db2fcb77f983dac78720efa76f86d91ffebdbbba974b7cfd05cc0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-21T02:22:33Z",
    "title_canon_sha256": "a496aaa190b415e04b6f426984263adc10cbfab6eb069c71085497dbafc79f78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06379",
    "kind": "arxiv",
    "version": 2
  }
}