Pith Number

pith:KYNBAKYG

pith:2010:KYNBAKYGTPXDBFNF3QFXBIJTX4

not attested not anchored not stored refs pending

Linear differential equations on $\mathbb{P}^{1}$ and root systems

Kazuki Hiroe

arxiv:1010.2580 v6 · 2010-10-13 · math.CA · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KYNBAKYGTPXDBFNF3QFXBIJTX4}

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	2026-05-18T03:26:23.417236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561a102b069bee3095a5dc0b70a133bf176f3f53914769fc499762cfe2f44307

Aliases

arxiv: 1010.2580 · arxiv_version: 1010.2580v6 · doi: 10.48550/arxiv.1010.2580 · pith_short_12: KYNBAKYGTPXD · pith_short_16: KYNBAKYGTPXDBFNF · pith_short_8: KYNBAKYG

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/KYNBAKYGTPXDBFNF3QFXBIJTX4 \
  | 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: 561a102b069bee3095a5dc0b70a133bf176f3f53914769fc499762cfe2f44307

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d666eee4db901f92437f03c576401e7859f1c45563d6a66f9003f0365a1b4da8",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2010-10-13T06:27:12Z",
    "title_canon_sha256": "a07238fb57f50d7634c0e4c419b9f2c8d84f30f3d5e84a16d302a2f2d5952bab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2580",
    "kind": "arxiv",
    "version": 6
  }
}