{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QZCXRK4URHQWHWIMZAHNHWZNH2","short_pith_number":"pith:QZCXRK4U","canonical_record":{"source":{"id":"2410.16521","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AT","submitted_at":"2024-10-21T21:23:00Z","cross_cats_sorted":[],"title_canon_sha256":"9d46defe840b8029b6d1ee5603a1f76d782b42f664d9b9a4f47747099270380e","abstract_canon_sha256":"45bb3dd3d1ce9650e190261b0a0f8933645bae4a4341e13201d4e003ea666695"},"schema_version":"1.0"},"canonical_sha256":"864578ab9489e163d90cc80ed3db2d3ead3294dc285cbe5658aaec86d7db6745","source":{"kind":"arxiv","id":"2410.16521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.16521","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.16521v1","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.16521","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"QZCXRK4URHQW","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"QZCXRK4URHQWHWIM","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"QZCXRK4U","created_at":"2026-07-05T09:24:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QZCXRK4URHQWHWIMZAHNHWZNH2","target":"record","payload":{"canonical_record":{"source":{"id":"2410.16521","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AT","submitted_at":"2024-10-21T21:23:00Z","cross_cats_sorted":[],"title_canon_sha256":"9d46defe840b8029b6d1ee5603a1f76d782b42f664d9b9a4f47747099270380e","abstract_canon_sha256":"45bb3dd3d1ce9650e190261b0a0f8933645bae4a4341e13201d4e003ea666695"},"schema_version":"1.0"},"canonical_sha256":"864578ab9489e163d90cc80ed3db2d3ead3294dc285cbe5658aaec86d7db6745","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:24:02.835169Z","signature_b64":"lWBjZBdP+cS1PTfMiBLfAl0uE72DwoWWD0GGBDVFlgqjlgbH9PSI/9S2m+AVXlbvMEN3PDpqfuOf7P1NBxU+CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"864578ab9489e163d90cc80ed3db2d3ead3294dc285cbe5658aaec86d7db6745","last_reissued_at":"2026-07-05T09:24:02.834752Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:24:02.834752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.16521","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:24:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CMEfP/aQyJiEmwHZuDC9IfpKKIQGa3MpMJK6aK7rFZEDPvjeWGYzJOW8lOqAX3etj/nqqyB01R3w28K1k2QnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T01:10:39.216824Z"},"content_sha256":"dcd372090aaa80bf0cb5e700ead009051a6976595cb435308ad3261ed6ce3daf","schema_version":"1.0","event_id":"sha256:dcd372090aaa80bf0cb5e700ead009051a6976595cb435308ad3261ed6ce3daf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QZCXRK4URHQWHWIMZAHNHWZNH2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $\\mathbb{C}$-motivic Adams Spectral Sequence for $s\\leq5$","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Jordan Benson","submitted_at":"2024-10-21T21:23:00Z","abstract_excerpt":"We determine the $\\tau^n$-torsion in the first 5-lines of the $E_2$ page of the $\\mathbb{C}$-motivic Adams spectral sequence using the techniques of Burklund-Xu. In particular, every element in this range is either $\\tau^1$-torsion or $\\tau$-free. We also show that $\\tau^n$-torsion elements can appear only in Adams filtration at least $2n+2$ and give further evidence of a possible $3n$ bound."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.16521","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/2410.16521/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:24:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l+srsBOGQEojjPs5P0F5VVbL9HYdjHYpjdhtRL8M10iiZtFDnYfvyGvmpdwcVBW5BPgTkgZvh3yXg+3xkydvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T01:10:39.217416Z"},"content_sha256":"04a6a48103a6b83507aa5fc5d0b09cb0743a01ef562754083f97702d4da3723f","schema_version":"1.0","event_id":"sha256:04a6a48103a6b83507aa5fc5d0b09cb0743a01ef562754083f97702d4da3723f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/bundle.json","state_url":"https://pith.science/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-20T01:10:39Z","links":{"resolver":"https://pith.science/pith/QZCXRK4URHQWHWIMZAHNHWZNH2","bundle":"https://pith.science/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/bundle.json","state":"https://pith.science/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZCXRK4URHQWHWIMZAHNHWZNH2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QZCXRK4URHQWHWIMZAHNHWZNH2","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"45bb3dd3d1ce9650e190261b0a0f8933645bae4a4341e13201d4e003ea666695","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AT","submitted_at":"2024-10-21T21:23:00Z","title_canon_sha256":"9d46defe840b8029b6d1ee5603a1f76d782b42f664d9b9a4f47747099270380e"},"schema_version":"1.0","source":{"id":"2410.16521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.16521","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"arxiv_version","alias_value":"2410.16521v1","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.16521","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_12","alias_value":"QZCXRK4URHQW","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_16","alias_value":"QZCXRK4URHQWHWIM","created_at":"2026-07-05T09:24:02Z"},{"alias_kind":"pith_short_8","alias_value":"QZCXRK4U","created_at":"2026-07-05T09:24:02Z"}],"graph_snapshots":[{"event_id":"sha256:04a6a48103a6b83507aa5fc5d0b09cb0743a01ef562754083f97702d4da3723f","target":"graph","created_at":"2026-07-05T09:24:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.16521/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We determine the $\\tau^n$-torsion in the first 5-lines of the $E_2$ page of the $\\mathbb{C}$-motivic Adams spectral sequence using the techniques of Burklund-Xu. In particular, every element in this range is either $\\tau^1$-torsion or $\\tau$-free. We also show that $\\tau^n$-torsion elements can appear only in Adams filtration at least $2n+2$ and give further evidence of a possible $3n$ bound.","authors_text":"Jordan Benson","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AT","submitted_at":"2024-10-21T21:23:00Z","title":"The $\\mathbb{C}$-motivic Adams Spectral Sequence for $s\\leq5$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.16521","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:dcd372090aaa80bf0cb5e700ead009051a6976595cb435308ad3261ed6ce3daf","target":"record","created_at":"2026-07-05T09:24:02Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"45bb3dd3d1ce9650e190261b0a0f8933645bae4a4341e13201d4e003ea666695","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AT","submitted_at":"2024-10-21T21:23:00Z","title_canon_sha256":"9d46defe840b8029b6d1ee5603a1f76d782b42f664d9b9a4f47747099270380e"},"schema_version":"1.0","source":{"id":"2410.16521","kind":"arxiv","version":1}},"canonical_sha256":"864578ab9489e163d90cc80ed3db2d3ead3294dc285cbe5658aaec86d7db6745","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"864578ab9489e163d90cc80ed3db2d3ead3294dc285cbe5658aaec86d7db6745","first_computed_at":"2026-07-05T09:24:02.834752Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:24:02.834752Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lWBjZBdP+cS1PTfMiBLfAl0uE72DwoWWD0GGBDVFlgqjlgbH9PSI/9S2m+AVXlbvMEN3PDpqfuOf7P1NBxU+CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:24:02.835169Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.16521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd372090aaa80bf0cb5e700ead009051a6976595cb435308ad3261ed6ce3daf","sha256:04a6a48103a6b83507aa5fc5d0b09cb0743a01ef562754083f97702d4da3723f"],"state_sha256":"ff24fa26b3e19e3ed2f6855adef3fe64c817b46fe1fc74ca69181a3f8db08e25"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lh4IP2esxHFyVvpBn55Ug1HDc0ppMywlB20gu/xieEKsXiEq/vGDCwNCv5ghLTx2GuDryQ7dHs9epuLhBqQrCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T01:10:39.222848Z","bundle_sha256":"d958f799a2756554f0a865b28010fc639dee68b57e62ab89ed09c26e296b4610"}}