Pith Number

pith:VH7C3BCT

pith:2018:VH7C3BCTC7FS7Y5PTTNXEJ4M7Z

not attested not anchored not stored refs pending

Complete commuting vector fields and their singular points in dimension 2

Ana Cristina Ferreira, Helena Reis, Julio C. Rebelo

arxiv:1809.09255 v1 · 2018-09-24 · math.CV · math.CA · 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{VH7C3BCTC7FS7Y5PTTNXEJ4M7Z}

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	2026-05-18T00:04:53.941127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9fe2d845317cb2fe3af9cdb72278cfe479c08567ce02371bc37774daa1deb5a

Aliases

arxiv: 1809.09255 · arxiv_version: 1809.09255v1 · doi: 10.48550/arxiv.1809.09255 · pith_short_12: VH7C3BCTC7FS · pith_short_16: VH7C3BCTC7FS7Y5P · pith_short_8: VH7C3BCT

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/VH7C3BCTC7FS7Y5PTTNXEJ4M7Z \
  | 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: a9fe2d845317cb2fe3af9cdb72278cfe479c08567ce02371bc37774daa1deb5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d73b4c2d8ef22dedc2437edea845edf02acd8fe71f196ee42b7cdeba02ed77e8",
    "cross_cats_sorted": [
      "math.CA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2018-09-24T23:17:23Z",
    "title_canon_sha256": "6e10fc597cf4ff1d294a57d29bb141edc066c2288f95b62f4991f26e77006ff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.09255",
    "kind": "arxiv",
    "version": 1
  }
}