Pith Number

pith:FGTFLWKV

pith:2018:FGTFLWKVOWM4PAIQRUB74DM3R5

not attested not anchored not stored refs pending

Limit cycles of planar vector fields: Hilbert's 16th problem and o-minimality

Patrick Speissegger

arxiv:1804.03585 v1 · 2018-04-10 · math.LO · 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{FGTFLWKVOWM4PAIQRUB74DM3R5}

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	2026-05-18T00:18:47.624444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29a655d9557599c781108d03fe0d9b8f7fae948bc24d4ca2bac43b948468e43c

Aliases

arxiv: 1804.03585 · arxiv_version: 1804.03585v1 · doi: 10.48550/arxiv.1804.03585 · pith_short_12: FGTFLWKVOWM4 · pith_short_16: FGTFLWKVOWM4PAIQ · pith_short_8: FGTFLWKV

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/FGTFLWKVOWM4PAIQRUB74DM3R5 \
  | 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: 29a655d9557599c781108d03fe0d9b8f7fae948bc24d4ca2bac43b948468e43c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e342726b4d2502711e17b225204f93b4e8ca139fb8d9b9b4f4dde1786110438",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-04-10T15:18:26Z",
    "title_canon_sha256": "e4891be31dadd55779194ce3670e1c4a995312dc20f0b47728ce78ff8b0dcf6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.03585",
    "kind": "arxiv",
    "version": 1
  }
}