{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:DRUVWQWUMPJNSR2VBFFQ2Q6K6J","short_pith_number":"pith:DRUVWQWU","schema_version":"1.0","canonical_sha256":"1c695b42d463d2d94755094b0d43caf27f42dea4c9f70571c3ad7c4fbeac6bd1","source":{"kind":"arxiv","id":"2607.18165","version":1},"attestation_state":"computed","paper":{"title":"Periodic phenomena in stable motivic homotopy theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Jackson Morris","submitted_at":"2026-07-20T17:09:09Z","abstract_excerpt":"In this survey, we study how tools from stable homotopy theory have manifested and impacted motivic homotopy theory. In particular, we discuss various motivic Adams spectral sequences, periodicity in the motivic stable homotopy groups of spheres, and synthetic spectra. We conclude with many problems for future investigation."},"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":"2607.18165","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2026-07-20T17:09:09Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"c687a8badb90502bbebc4ee0f1d03e673ca2b2bd73d9c2e4e3ddf2b99d1cccfa","abstract_canon_sha256":"d9d04996a944d7e18e982713f2a98ab19d9b1d3a064c5dfb62aac2c6c5adbd62"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-21T02:22:19.924254Z","signature_b64":"nPAKq10Rjm2GsGzDv4Irj6QB1srnW4lk0gbb/PUYjHOK9Fxf6ci0jUyuDXyZY610x6s0z5FbWl8wKsG2hOlaDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c695b42d463d2d94755094b0d43caf27f42dea4c9f70571c3ad7c4fbeac6bd1","last_reissued_at":"2026-07-21T02:22:19.923466Z","signature_status":"signed_v1","first_computed_at":"2026-07-21T02:22:19.923466Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Periodic phenomena in stable motivic homotopy theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Jackson Morris","submitted_at":"2026-07-20T17:09:09Z","abstract_excerpt":"In this survey, we study how tools from stable homotopy theory have manifested and impacted motivic homotopy theory. In particular, we discuss various motivic Adams spectral sequences, periodicity in the motivic stable homotopy groups of spheres, and synthetic spectra. We conclude with many problems for future investigation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18165","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/2607.18165/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":"2607.18165","created_at":"2026-07-21T02:22:19.923864+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.18165v1","created_at":"2026-07-21T02:22:19.923864+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.18165","created_at":"2026-07-21T02:22:19.923864+00:00"},{"alias_kind":"pith_short_12","alias_value":"DRUVWQWUMPJN","created_at":"2026-07-21T02:22:19.923864+00:00"},{"alias_kind":"pith_short_16","alias_value":"DRUVWQWUMPJNSR2V","created_at":"2026-07-21T02:22:19.923864+00:00"},{"alias_kind":"pith_short_8","alias_value":"DRUVWQWU","created_at":"2026-07-21T02:22:19.923864+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/DRUVWQWUMPJNSR2VBFFQ2Q6K6J","json":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J.json","graph_json":"https://pith.science/api/pith-number/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/graph.json","events_json":"https://pith.science/api/pith-number/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/events.json","paper":"https://pith.science/paper/DRUVWQWU"},"agent_actions":{"view_html":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J","download_json":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J.json","view_paper":"https://pith.science/paper/DRUVWQWU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.18165&json=true","fetch_graph":"https://pith.science/api/pith-number/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/graph.json","fetch_events":"https://pith.science/api/pith-number/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/action/storage_attestation","attest_author":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/action/author_attestation","sign_citation":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/action/citation_signature","submit_replication":"https://pith.science/pith/DRUVWQWUMPJNSR2VBFFQ2Q6K6J/action/replication_record"}},"created_at":"2026-07-21T02:22:19.923864+00:00","updated_at":"2026-07-21T02:22:19.923864+00:00"}