Pith Number

pith:TLB5YPBU

pith:2009:TLB5YPBUJ6KXMLDDX6O25KB4OT

not attested not anchored not stored refs pending

Common Borel radius of an algebroid function and its derivative

Nan Wu, Zuxing Xuan

arxiv:0906.4409 v1 · 2009-06-24 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TLB5YPBUJ6KXMLDDX6O25KB4OT}

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	2026-07-04T15:45:07.691250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ac3dc3c344f95762c63bf9daea83c74f93edf2049ee7134d1514299b6b5a479

Aliases

arxiv: 0906.4409 · arxiv_version: 0906.4409v1 · doi: 10.48550/arxiv.0906.4409 · pith_short_12: TLB5YPBUJ6KX · pith_short_16: TLB5YPBUJ6KXMLDD · pith_short_8: TLB5YPBU

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/TLB5YPBUJ6KXMLDDX6O25KB4OT \
  | 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: 9ac3dc3c344f95762c63bf9daea83c74f93edf2049ee7134d1514299b6b5a479

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "083254149095e4bbaff18af9e953077d009e859e25adfb0f7dc0edc3bfc40e7f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-24T06:47:11Z",
    "title_canon_sha256": "4a878a61551252a1ea4d3c82f8d623247b329873f20bfb60b4baafe9970930d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4409",
    "kind": "arxiv",
    "version": 1
  }
}