Pith Number

pith:7XM4UPGW

pith:2007:7XM4UPGWN5QOFZYVAQI7REMJT7

not attested not anchored not stored refs pending

Integral representation of solutions to Fuchsian system and Heun's equation

Kouichi Takemura

arxiv:0705.3358 v2 · 2007-05-23 · math.CA · math-ph · math.MP · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7XM4UPGWN5QOFZYVAQI7REMJT7}

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	2026-05-18T02:16:30.744137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdd9ca3cd66f60e2e7150411f891899fea40267d6640fbf63577e970371e9746

Aliases

arxiv: 0705.3358 · arxiv_version: 0705.3358v2 · doi: 10.48550/arxiv.0705.3358 · pith_short_12: 7XM4UPGWN5QO · pith_short_16: 7XM4UPGWN5QOFZYV · pith_short_8: 7XM4UPGW

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/7XM4UPGWN5QOFZYVAQI7REMJT7 \
  | 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: fdd9ca3cd66f60e2e7150411f891899fea40267d6640fbf63577e970371e9746

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e305df7047dd18dfc7186859933ef08f167c9fe031828ce5a53b02ac382f9900",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.SI"
    ],
    "license": "",
    "primary_cat": "math.CA",
    "submitted_at": "2007-05-23T12:23:50Z",
    "title_canon_sha256": "6bcd014a7fb752fd799dc6f586f50b92c4808268f8ce66d40f9d40f7faac0a35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.3358",
    "kind": "arxiv",
    "version": 2
  }
}