Pith Number

pith:LSPYXHZO

pith:2010:LSPYXHZOHESVKFTFUKTUQWB73L

not attested not anchored not stored refs pending

Introduction to middle convolution for differential equations with irregular singularities

Kouichi Takemura

arxiv:1002.2535 v2 · 2010-02-12 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LSPYXHZOHESVKFTFUKTUQWB73L}

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	2026-05-18T00:37:05.738741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c9f8b9f2e3925551665a2a748583fdaf96d60b1117dca2f1580b3cc07e23846

Aliases

arxiv: 1002.2535 · arxiv_version: 1002.2535v2 · doi: 10.48550/arxiv.1002.2535 · pith_short_12: LSPYXHZOHESV · pith_short_16: LSPYXHZOHESVKFTF · pith_short_8: LSPYXHZO

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/LSPYXHZOHESVKFTFUKTUQWB73L \
  | 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: 5c9f8b9f2e3925551665a2a748583fdaf96d60b1117dca2f1580b3cc07e23846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "085100f2ccf43a43a69107d0919b94c9b6f380d8eb833805d154738a4bd4b52a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-02-12T12:27:39Z",
    "title_canon_sha256": "d5f707d49cc624aacd878d276fe8ed29c7e573c64210c743f7d439f3f08dedb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.2535",
    "kind": "arxiv",
    "version": 2
  }
}