Pith Number

pith:PWIBDPCE

pith:2018:PWIBDPCEG6I3E5JJGMIXGMK7FG

not attested not anchored not stored refs pending

Modular linear differential equations of fourth order and minimal $\mathcal{W}$-algebras

Kazuya Kawasetsu, Yuichi Sakai

arxiv:1803.02022 v1 · 2018-03-06 · math.QA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PWIBDPCEG6I3E5JJGMIXGMK7FG}

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	2026-05-18T00:21:56.035678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d9011bc443791b27529331173315f29a26a2a38a13b2ae17add72d8e7c22c2f

Aliases

arxiv: 1803.02022 · arxiv_version: 1803.02022v1 · doi: 10.48550/arxiv.1803.02022 · pith_short_12: PWIBDPCEG6I3 · pith_short_16: PWIBDPCEG6I3E5JJ · pith_short_8: PWIBDPCE

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/PWIBDPCEG6I3E5JJGMIXGMK7FG \
  | 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: 7d9011bc443791b27529331173315f29a26a2a38a13b2ae17add72d8e7c22c2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4a8c01921de5f038d7c365af429728e46b03a99fd9650442a7c879f582b907",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2018-03-06T05:23:55Z",
    "title_canon_sha256": "c5f8766db656fbb8096eb6c06d89bd54f26a9be60d82859eeffc7866cd9eae65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.02022",
    "kind": "arxiv",
    "version": 1
  }
}