Pith Number

pith:CLNCEY5J

pith:2009:CLNCEY5JO75W5V54TJYXNIPXJ5

not attested not anchored not stored refs pending

Bergman kernel and complex singularity exponent

Bo-Yong Chen, Hanjin Lee

arxiv:0911.4169 v1 · 2009-11-21 · 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{CLNCEY5JO75W5V54TJYXNIPXJ5}

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	2026-05-18T02:10:37.853198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12da2263a977fb6ed7bc9a7176a1f74f47142e3ff0dda0f6b3e484285828fb96

Aliases

arxiv: 0911.4169 · arxiv_version: 0911.4169v1 · doi: 10.48550/arxiv.0911.4169 · pith_short_12: CLNCEY5JO75W · pith_short_16: CLNCEY5JO75W5V54 · pith_short_8: CLNCEY5J

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/CLNCEY5JO75W5V54TJYXNIPXJ5 \
  | 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: 12da2263a977fb6ed7bc9a7176a1f74f47142e3ff0dda0f6b3e484285828fb96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30f2cd5c4b3b91f248000d87d14bca8647e4ebe075a24c30dc3a71d69ab72747",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-11-21T09:37:04Z",
    "title_canon_sha256": "57ad6dec5a8a9654045bccec38600b03904cea2d4b5422f39da26e233f43c8a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4169",
    "kind": "arxiv",
    "version": 1
  }
}