Pith Number

pith:CCMVNGI6

pith:2018:CCMVNGI6C2MREK4VW6WGCHGO7Q

not attested not anchored not stored refs pending

On first integrals admitting asymptotic expansion for holomorphic foliations in dimension two

F. Reis

arxiv:1810.09396 v1 · 2018-10-22 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCMVNGI6C2MREK4VW6WGCHGO7Q}

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	2026-05-18T00:02:40.213309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109956991e1699122b95b7ac611ccefc1ae07555514b91d3a624775ba2e22a34

Aliases

arxiv: 1810.09396 · arxiv_version: 1810.09396v1 · doi: 10.48550/arxiv.1810.09396 · pith_short_12: CCMVNGI6C2MR · pith_short_16: CCMVNGI6C2MREK4V · pith_short_8: CCMVNGI6

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/CCMVNGI6C2MREK4VW6WGCHGO7Q \
  | 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: 109956991e1699122b95b7ac611ccefc1ae07555514b91d3a624775ba2e22a34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199a7b61dd5188d8ae059b445ed72e78a531af4a2178efa6dd0ac9bf327beb6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-10-22T16:43:41Z",
    "title_canon_sha256": "53f132c7cf20f32e179014ecf9c4629e03a6707b1ebbf3c471dc6b837c7e2542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.09396",
    "kind": "arxiv",
    "version": 1
  }
}