Pith Number

pith:TL2CZGFT

pith:2010:TL2CZGFT67QFMZL56HZXJG3WQQ

not attested not anchored not stored refs pending

The geometry of Chazy's homogeneous third-order differential equations

Adolfo Guillot

arxiv:1011.6090 v2 · 2010-11-28 · math.DS · 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{TL2CZGFT67QFMZL56HZXJG3WQQ}

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	2026-05-18T03:27:41.360406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9af42c98b3f7e056657df1f3749b7684290342d20f2dd255f1298c081d619cac

Aliases

arxiv: 1011.6090 · arxiv_version: 1011.6090v2 · doi: 10.48550/arxiv.1011.6090 · pith_short_12: TL2CZGFT67QF · pith_short_16: TL2CZGFT67QFMZL5 · pith_short_8: TL2CZGFT

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/TL2CZGFT67QFMZL56HZXJG3WQQ \
  | 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: 9af42c98b3f7e056657df1f3749b7684290342d20f2dd255f1298c081d619cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432d6379ced16c3c58e90ca141ef478ae37e5f074f3d9f4b6c4eb9425b1179b4",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-11-28T21:17:00Z",
    "title_canon_sha256": "0e6abe92db73b46104e3cdcdb4dd85b15b8f95abb6e4d828cbc7cd84747a028a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6090",
    "kind": "arxiv",
    "version": 2
  }
}