Pith Number

pith:VFGNP2JQ

pith:2025:VFGNP2JQLAMAEVIGLWJ64XW2S5

not attested not anchored not stored refs pending

Global Centers and Phase Portraits in Generalized Duffing Oscillators: A Comprehensive Study of the Center-Focus Problem

Gabriel Rond\'on, Nasrin Sadri

arxiv:2506.07307 v1 · 2025-06-08 · 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{VFGNP2JQLAMAEVIGLWJ64XW2S5}

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	2026-07-05T11:18:24.816634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a94cd7e93058180255065d93ee5eda976052fcb34f690cb4b12c68f404a1e01f

Aliases

arxiv: 2506.07307 · arxiv_version: 2506.07307v1 · doi: 10.48550/arxiv.2506.07307 · pith_short_12: VFGNP2JQLAMA · pith_short_16: VFGNP2JQLAMAEVIG · pith_short_8: VFGNP2JQ

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/VFGNP2JQLAMAEVIGLWJ64XW2S5 \
  | 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: a94cd7e93058180255065d93ee5eda976052fcb34f690cb4b12c68f404a1e01f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab7a7cc5d3ea830cd7a34c219cb1e616c5ce7e0e201611dff98459a9cf5f0637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-06-08T22:43:09Z",
    "title_canon_sha256": "b13cb3a3cf2f8838153896020d2b4493856fd551b935f6ece8dd0735abecd352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07307",
    "kind": "arxiv",
    "version": 1
  }
}