Pith Number

pith:DJYX2WKM

pith:2026:DJYX2WKM7VQQKGGHOHRONK2NQX

not attested not anchored not stored refs pending

On the cyclicity of the period annulus of quasi-homogeneous polynomial vector fields

Dongmei Xiao, Hongjin He, Lubomir Gavrilov

arxiv:2606.22137 v1 · 2026-06-20 · 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{DJYX2WKM7VQQKGGHOHRONK2NQX}

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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	2026-06-23T02:13:29.218747Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a717d594cfd610518c771e2e6ab4d85c4ec1a0e93c45b3da609538e5080c40f

Aliases

arxiv: 2606.22137 · arxiv_version: 2606.22137v1 · doi: 10.48550/arxiv.2606.22137 · pith_short_12: DJYX2WKM7VQQ · pith_short_16: DJYX2WKM7VQQKGGH · pith_short_8: DJYX2WKM

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/DJYX2WKM7VQQKGGHOHRONK2NQX \
  | 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: 1a717d594cfd610518c771e2e6ab4d85c4ec1a0e93c45b3da609538e5080c40f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b05f84d06be8e03fc419bcc69c82e54c082318c171ecaed264e7229cbbbd5aa",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2026-06-20T16:36:33Z",
    "title_canon_sha256": "99d1323edc104e9a5a35e6ada5d177658ad67f5eecd58fa155923398db25caa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22137",
    "kind": "arxiv",
    "version": 1
  }
}