{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2P46VFYOTQ24G7RC3ZAVZJIUPJ","short_pith_number":"pith:2P46VFYO","schema_version":"1.0","canonical_sha256":"d3f9ea970e9c35c37e22de415ca5147a4285e92b4958929ae9f65d041067ea85","source":{"kind":"arxiv","id":"1512.00365","version":2},"attestation_state":"computed","paper":{"title":"Resonance in orbits of plane partitions and increasing tableaux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jessica Striker, Kevin Dilks, Oliver Pechenik","submitted_at":"2015-12-01T17:57:48Z","abstract_excerpt":"We introduce a new concept of resonance on discrete dynamical systems. This concept formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit cardinalities are all multiples of divisors of a fundamental frequency.\n  Our main result is an equivariant bijection between plane partitions in a box (or order ideals in the product of three chains) under rowmotion and increasing tableaux under $K$-promotion. Both of these actions were observed to have orbit sizes that were small multiples of divisors of an expected orbit size, and we show this is an instance of re"},"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":"1512.00365","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2015-12-01T17:57:48Z","cross_cats_sorted":[],"title_canon_sha256":"4860d7ceb023f11c40a76dfd4c1d15bfcaa89ceaf64696ae3e3d353949f121b3","abstract_canon_sha256":"05801ec31fdd0033c28ab355e3aac9e60b54214f70556deb00c4cc3622791226"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:33.096628Z","signature_b64":"mIzKbYJ3speNrqJlF2fC9/9BiZbAYNTc4NQBo6vxDemxmpMYcNteDD/doMFp0qnRwTKDNUfGUkWP2tTfIgMVAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d3f9ea970e9c35c37e22de415ca5147a4285e92b4958929ae9f65d041067ea85","last_reissued_at":"2026-05-18T00:48:33.095926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:33.095926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Resonance in orbits of plane partitions and increasing tableaux","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Jessica Striker, Kevin Dilks, Oliver Pechenik","submitted_at":"2015-12-01T17:57:48Z","abstract_excerpt":"We introduce a new concept of resonance on discrete dynamical systems. This concept formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit cardinalities are all multiples of divisors of a fundamental frequency.\n  Our main result is an equivariant bijection between plane partitions in a box (or order ideals in the product of three chains) under rowmotion and increasing tableaux under $K$-promotion. Both of these actions were observed to have orbit sizes that were small multiples of divisors of an expected orbit size, and we show this is an instance of re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00365","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1512.00365","created_at":"2026-05-18T00:48:33.096029+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.00365v2","created_at":"2026-05-18T00:48:33.096029+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00365","created_at":"2026-05-18T00:48:33.096029+00:00"},{"alias_kind":"pith_short_12","alias_value":"2P46VFYOTQ24","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2P46VFYOTQ24G7RC","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2P46VFYO","created_at":"2026-05-18T12:29:02.477457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ","json":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ.json","graph_json":"https://pith.science/api/pith-number/2P46VFYOTQ24G7RC3ZAVZJIUPJ/graph.json","events_json":"https://pith.science/api/pith-number/2P46VFYOTQ24G7RC3ZAVZJIUPJ/events.json","paper":"https://pith.science/paper/2P46VFYO"},"agent_actions":{"view_html":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ","download_json":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ.json","view_paper":"https://pith.science/paper/2P46VFYO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.00365&json=true","fetch_graph":"https://pith.science/api/pith-number/2P46VFYOTQ24G7RC3ZAVZJIUPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/2P46VFYOTQ24G7RC3ZAVZJIUPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ/action/storage_attestation","attest_author":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ/action/author_attestation","sign_citation":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ/action/citation_signature","submit_replication":"https://pith.science/pith/2P46VFYOTQ24G7RC3ZAVZJIUPJ/action/replication_record"}},"created_at":"2026-05-18T00:48:33.096029+00:00","updated_at":"2026-05-18T00:48:33.096029+00:00"}