Pith Number

pith:3H4QQAPM

pith:2010:3H4QQAPMS2HWVXBUAIBT7RODX5

not attested not anchored not stored refs pending

Enumerating Combinatorial Classes of the Complex Polynomial Vector Fields in the Complex Plane

Kealey Dias

arxiv:1007.5003 v2 · 2010-07-28 · math.CV · math.CO · 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{3H4QQAPMS2HWVXBUAIBT7RODX5}

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	2026-05-18T04:10:57.131683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9f90801ec968f6adc3402033fc5c3bf5eb137f420fa85f9c6d942ffbf66e25c

Aliases

arxiv: 1007.5003 · arxiv_version: 1007.5003v2 · doi: 10.48550/arxiv.1007.5003 · pith_short_12: 3H4QQAPMS2HW · pith_short_16: 3H4QQAPMS2HWVXBU · pith_short_8: 3H4QQAPM

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/3H4QQAPMS2HWVXBUAIBT7RODX5 \
  | 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: d9f90801ec968f6adc3402033fc5c3bf5eb137f420fa85f9c6d942ffbf66e25c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4967d6eb2deb0aac10c1d933d5e21c605b4951796ce87a7fd7952c0c3b21c6bf",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-07-28T15:11:58Z",
    "title_canon_sha256": "af3aa3e9ae383106efe720f2a8a64a0b790cf1dca2790635cd5f4ca6ec95df8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5003",
    "kind": "arxiv",
    "version": 2
  }
}