{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:CNKSP2ZV6WHXAHSAKAGSIYA7CO","short_pith_number":"pith:CNKSP2ZV","schema_version":"1.0","canonical_sha256":"135527eb35f58f701e40500d24601f139acbafe5a527ff534cc113676e5dece7","source":{"kind":"arxiv","id":"2302.12071","version":1},"attestation_state":"computed","paper":{"title":"Periodic orbits in a near Yang-Mills potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"George Contopoulos, Mirella Harsoula","submitted_at":"2023-02-23T14:51:48Z","abstract_excerpt":"We consider the orbits in the Yang-Mills (YM) potential V=1/2 x2 y2 and in the potentials of the general form Vg=1/2 [{\\alpha} (x2 +y2)+x2 y2]. The stable period-9 (number of intersection with the x-axis, with ) orbit found in the YM potential is a bifurcation of a basic period-9 orbit of the Vg potential for a value of {\\alpha} slightly above zero. This basic period-9 family and its bifurcations exist only up to a maximum value of {\\alpha}={\\alpha}max. We calculate the Henon stability index of these orbits. The pattern of the stability diagram is the same for all the symmetric orbits of odd p"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2302.12071","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.CD","submitted_at":"2023-02-23T14:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"18997834b25ab36448f3e445fe1b4bf96942c4f76936aba0c43980ef43caba64","abstract_canon_sha256":"e090318128e15cc0f577cbf93ef1d1c4dd676ee4ccfbddad43826b9bbe2718d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:32:06.619449Z","signature_b64":"Onp7suMxrMyP92TYlO2HoL+hX3eAdJzsgC4l9SqoMRbvj+786MtwZg8OOG3zdmXfOwjzRv5kwRU8lMOq+RI9Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"135527eb35f58f701e40500d24601f139acbafe5a527ff534cc113676e5dece7","last_reissued_at":"2026-07-05T06:32:06.618962Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:32:06.618962Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic orbits in a near Yang-Mills potential","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"George Contopoulos, Mirella Harsoula","submitted_at":"2023-02-23T14:51:48Z","abstract_excerpt":"We consider the orbits in the Yang-Mills (YM) potential V=1/2 x2 y2 and in the potentials of the general form Vg=1/2 [{\\alpha} (x2 +y2)+x2 y2]. The stable period-9 (number of intersection with the x-axis, with ) orbit found in the YM potential is a bifurcation of a basic period-9 orbit of the Vg potential for a value of {\\alpha} slightly above zero. This basic period-9 family and its bifurcations exist only up to a maximum value of {\\alpha}={\\alpha}max. We calculate the Henon stability index of these orbits. The pattern of the stability diagram is the same for all the symmetric orbits of odd p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.12071","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2302.12071/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2302.12071","created_at":"2026-07-05T06:32:06.619022+00:00"},{"alias_kind":"arxiv_version","alias_value":"2302.12071v1","created_at":"2026-07-05T06:32:06.619022+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.12071","created_at":"2026-07-05T06:32:06.619022+00:00"},{"alias_kind":"pith_short_12","alias_value":"CNKSP2ZV6WHX","created_at":"2026-07-05T06:32:06.619022+00:00"},{"alias_kind":"pith_short_16","alias_value":"CNKSP2ZV6WHXAHSA","created_at":"2026-07-05T06:32:06.619022+00:00"},{"alias_kind":"pith_short_8","alias_value":"CNKSP2ZV","created_at":"2026-07-05T06:32:06.619022+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.02496","citing_title":"Turbulent aspects of BMN membrane dynamics","ref_index":40,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO","json":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO.json","graph_json":"https://pith.science/api/pith-number/CNKSP2ZV6WHXAHSAKAGSIYA7CO/graph.json","events_json":"https://pith.science/api/pith-number/CNKSP2ZV6WHXAHSAKAGSIYA7CO/events.json","paper":"https://pith.science/paper/CNKSP2ZV"},"agent_actions":{"view_html":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO","download_json":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO.json","view_paper":"https://pith.science/paper/CNKSP2ZV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2302.12071&json=true","fetch_graph":"https://pith.science/api/pith-number/CNKSP2ZV6WHXAHSAKAGSIYA7CO/graph.json","fetch_events":"https://pith.science/api/pith-number/CNKSP2ZV6WHXAHSAKAGSIYA7CO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO/action/storage_attestation","attest_author":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO/action/author_attestation","sign_citation":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO/action/citation_signature","submit_replication":"https://pith.science/pith/CNKSP2ZV6WHXAHSAKAGSIYA7CO/action/replication_record"}},"created_at":"2026-07-05T06:32:06.619022+00:00","updated_at":"2026-07-05T06:32:06.619022+00:00"}