{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:WX2FQTOCCFHIBSFEN5EW5SZ2GZ","short_pith_number":"pith:WX2FQTOC","canonical_record":{"source":{"id":"2305.08231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-05-14T19:38:15Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"4fe36bb1d511ab07e14c0686cd645a35c07e2b622b54ed127796e5f8e04c3593","abstract_canon_sha256":"2a308e04ff615a267e31fd9e889740d8c261fa7a17826debdb7282a7d5a7e4ca"},"schema_version":"1.0"},"canonical_sha256":"b5f4584dc2114e80c8a46f496ecb3a366dc36726b90b1f6667f441918ecd91c3","source":{"kind":"arxiv","id":"2305.08231","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08231","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08231v2","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08231","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_12","alias_value":"WX2FQTOCCFHI","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_16","alias_value":"WX2FQTOCCFHIBSFE","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_8","alias_value":"WX2FQTOC","created_at":"2026-07-05T10:44:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:WX2FQTOCCFHIBSFEN5EW5SZ2GZ","target":"record","payload":{"canonical_record":{"source":{"id":"2305.08231","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-05-14T19:38:15Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"4fe36bb1d511ab07e14c0686cd645a35c07e2b622b54ed127796e5f8e04c3593","abstract_canon_sha256":"2a308e04ff615a267e31fd9e889740d8c261fa7a17826debdb7282a7d5a7e4ca"},"schema_version":"1.0"},"canonical_sha256":"b5f4584dc2114e80c8a46f496ecb3a366dc36726b90b1f6667f441918ecd91c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:44:12.363226Z","signature_b64":"UMa89hHRWGzfMWlR+3VM3FBZnERC49BV5ZkNPixdYRr9CV0Zg/QQ4y9CuZYAII0KZxdCORv68iTOvJUVWqJlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5f4584dc2114e80c8a46f496ecb3a366dc36726b90b1f6667f441918ecd91c3","last_reissued_at":"2026-07-05T10:44:12.362756Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:44:12.362756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2305.08231","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:44:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U45fEsYaeRvliuh3JuCRi0Mp/Fpt4CRUyUNiT4k1F2bNySdvrX8C44g+3APpmjahUwnfvxEQTWhQhFE46OX4Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T15:06:06.080841Z"},"content_sha256":"4b627284c318992c2f50006e2d5846c406b7475267f911ee4102c988e309ef37","schema_version":"1.0","event_id":"sha256:4b627284c318992c2f50006e2d5846c406b7475267f911ee4102c988e309ef37"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:WX2FQTOCCFHIBSFEN5EW5SZ2GZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quivers and the Adams spectral sequence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.AT","authors_text":"Piotr Pstr\\k{a}gowski, Robert Burklund","submitted_at":"2023-05-14T19:38:15Z","abstract_excerpt":"In this paper, we describe a novel way of identifying Adams spectral sequence $E_2$-terms in terms of homological algebra of quiver representations. Our method applies much more broadly than the standard techniques based on descent-flatness, bearing on a varied array of ring spectra. In the particular case of $p$-local integral homology, we are able to give a decomposition of the $E_2$-term, describing it completely in terms of the classical Adams spectral sequence. In the appendix, which can be read independently from the main body of the text, we develop functoriality of deformations of $\\in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08231","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.08231/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":"2026-07-05T10:44:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sV4n4aZjKwn0seIrMHpTV1fmHfTkLnIwDda5NzAPnnZDNB/P9pzO+foQyGda0LqveWEs3Yniw4jqxWV4yCRZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T15:06:06.081210Z"},"content_sha256":"445a635d3bb772436afa204c409e321daa3453f168600026d90a135ea09fb21e","schema_version":"1.0","event_id":"sha256:445a635d3bb772436afa204c409e321daa3453f168600026d90a135ea09fb21e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/bundle.json","state_url":"https://pith.science/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/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":"2026-07-06T15:06:06Z","links":{"resolver":"https://pith.science/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ","bundle":"https://pith.science/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/bundle.json","state":"https://pith.science/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WX2FQTOCCFHIBSFEN5EW5SZ2GZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:WX2FQTOCCFHIBSFEN5EW5SZ2GZ","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":"2a308e04ff615a267e31fd9e889740d8c261fa7a17826debdb7282a7d5a7e4ca","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-05-14T19:38:15Z","title_canon_sha256":"4fe36bb1d511ab07e14c0686cd645a35c07e2b622b54ed127796e5f8e04c3593"},"schema_version":"1.0","source":{"id":"2305.08231","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2305.08231","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"arxiv_version","alias_value":"2305.08231v2","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2305.08231","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_12","alias_value":"WX2FQTOCCFHI","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_16","alias_value":"WX2FQTOCCFHIBSFE","created_at":"2026-07-05T10:44:12Z"},{"alias_kind":"pith_short_8","alias_value":"WX2FQTOC","created_at":"2026-07-05T10:44:12Z"}],"graph_snapshots":[{"event_id":"sha256:445a635d3bb772436afa204c409e321daa3453f168600026d90a135ea09fb21e","target":"graph","created_at":"2026-07-05T10:44:12Z","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/2305.08231/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we describe a novel way of identifying Adams spectral sequence $E_2$-terms in terms of homological algebra of quiver representations. Our method applies much more broadly than the standard techniques based on descent-flatness, bearing on a varied array of ring spectra. In the particular case of $p$-local integral homology, we are able to give a decomposition of the $E_2$-term, describing it completely in terms of the classical Adams spectral sequence. In the appendix, which can be read independently from the main body of the text, we develop functoriality of deformations of $\\in","authors_text":"Piotr Pstr\\k{a}gowski, Robert Burklund","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-05-14T19:38:15Z","title":"Quivers and the Adams spectral sequence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.08231","kind":"arxiv","version":2},"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":"sha256:4b627284c318992c2f50006e2d5846c406b7475267f911ee4102c988e309ef37","target":"record","created_at":"2026-07-05T10:44:12Z","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":"2a308e04ff615a267e31fd9e889740d8c261fa7a17826debdb7282a7d5a7e4ca","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2023-05-14T19:38:15Z","title_canon_sha256":"4fe36bb1d511ab07e14c0686cd645a35c07e2b622b54ed127796e5f8e04c3593"},"schema_version":"1.0","source":{"id":"2305.08231","kind":"arxiv","version":2}},"canonical_sha256":"b5f4584dc2114e80c8a46f496ecb3a366dc36726b90b1f6667f441918ecd91c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5f4584dc2114e80c8a46f496ecb3a366dc36726b90b1f6667f441918ecd91c3","first_computed_at":"2026-07-05T10:44:12.362756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:44:12.362756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UMa89hHRWGzfMWlR+3VM3FBZnERC49BV5ZkNPixdYRr9CV0Zg/QQ4y9CuZYAII0KZxdCORv68iTOvJUVWqJlBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:44:12.363226Z","signed_message":"canonical_sha256_bytes"},"source_id":"2305.08231","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b627284c318992c2f50006e2d5846c406b7475267f911ee4102c988e309ef37","sha256:445a635d3bb772436afa204c409e321daa3453f168600026d90a135ea09fb21e"],"state_sha256":"de41060b5a8c92d48e56f2f2fc4a7c8a50c683515ac84ca8824c7f878240af0d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s6Z4CTAOfDMauYDC/RcjGrgtv6XxrPDb9Bw/02shboH0D51A8X+uFx+Ua8p1YRoz9stvDKj05NAyhy/1QqkeAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T15:06:06.083113Z","bundle_sha256":"17f06625442641d57a489f7c1204777ed7e105c6266f564b1d3196fc150cb0d0"}}