{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:Q5CYTXODFYJXRWKGC5KPPJNK7S","short_pith_number":"pith:Q5CYTXOD","canonical_record":{"source":{"id":"1609.06219","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-09-20T15:23:46Z","cross_cats_sorted":[],"title_canon_sha256":"b3fa3a6b14951e297ae18caafdb93e43fc51d734c0c5a5710db664a83e541919","abstract_canon_sha256":"fa3802f1d7727d37a286fb2ac60cb97ae2e4a84731bb58e3da8d2a6ba90b1e43"},"schema_version":"1.0"},"canonical_sha256":"874589ddc32e1378d9461754f7a5aafcb63a64452f17d330c763a7bfe575c82a","source":{"kind":"arxiv","id":"1609.06219","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06219","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06219v2","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06219","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q5CYTXODFYJX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5CYTXODFYJXRWKG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5CYTXOD","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:Q5CYTXODFYJXRWKGC5KPPJNK7S","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06219","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-09-20T15:23:46Z","cross_cats_sorted":[],"title_canon_sha256":"b3fa3a6b14951e297ae18caafdb93e43fc51d734c0c5a5710db664a83e541919","abstract_canon_sha256":"fa3802f1d7727d37a286fb2ac60cb97ae2e4a84731bb58e3da8d2a6ba90b1e43"},"schema_version":"1.0"},"canonical_sha256":"874589ddc32e1378d9461754f7a5aafcb63a64452f17d330c763a7bfe575c82a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:16.594005Z","signature_b64":"CcZ8ZC0hjZ2k2BpBBX5S2rH+rWJ/ordKdKqOzy/X33eKp6AziA87uMbiVSeCwpdcBlErxDuGxhLhJvdwRJxzAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"874589ddc32e1378d9461754f7a5aafcb63a64452f17d330c763a7bfe575c82a","last_reissued_at":"2026-05-17T23:50:16.593126Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:16.593126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06219","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":"2026-05-17T23:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KKtrt5MS2JF8MRfk/xUVYgmbrXtY9InF5f67X9klBCBTMXAfG+NOj8eKmVw7xRkcV7J4WIUolLtPc2k8TccuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:56:49.243172Z"},"content_sha256":"34a8e1b0407c32c57a459590dd6630e04f7eee937645eeaa5657367c5d397a28","schema_version":"1.0","event_id":"sha256:34a8e1b0407c32c57a459590dd6630e04f7eee937645eeaa5657367c5d397a28"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:Q5CYTXODFYJXRWKGC5KPPJNK7S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Endomorphisms of Exotic Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Carolyn Yarnall, Constanze Roitzheim, Eugenia Ellis, Laura Scull","submitted_at":"2016-09-20T15:23:46Z","abstract_excerpt":"We calculate the endomorphism dga of Franke's exotic algebraic model for the $K$-local stable homotopy category at odd primes. We unravel its original abstract structure to give explicit generators, differentials and products."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06219","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EbAK3YZkNDMUP5+RVtVkI1TOERB36kCMSbvJrzZUhisMaPAnwFiPzVmhrh1eOBZObWP8uXKLT93w1ai0Q8f0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T06:56:49.243527Z"},"content_sha256":"b8e851eb5aa78c87ff56b527ac2facc139addbc4907895a004bf83bd81283e33","schema_version":"1.0","event_id":"sha256:b8e851eb5aa78c87ff56b527ac2facc139addbc4907895a004bf83bd81283e33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/bundle.json","state_url":"https://pith.science/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/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":"2026-06-03T06:56:49Z","links":{"resolver":"https://pith.science/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S","bundle":"https://pith.science/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/bundle.json","state":"https://pith.science/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q5CYTXODFYJXRWKGC5KPPJNK7S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:Q5CYTXODFYJXRWKGC5KPPJNK7S","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":"fa3802f1d7727d37a286fb2ac60cb97ae2e4a84731bb58e3da8d2a6ba90b1e43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-09-20T15:23:46Z","title_canon_sha256":"b3fa3a6b14951e297ae18caafdb93e43fc51d734c0c5a5710db664a83e541919"},"schema_version":"1.0","source":{"id":"1609.06219","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06219","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06219v2","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06219","created_at":"2026-05-17T23:50:16Z"},{"alias_kind":"pith_short_12","alias_value":"Q5CYTXODFYJX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"Q5CYTXODFYJXRWKG","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"Q5CYTXOD","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:b8e851eb5aa78c87ff56b527ac2facc139addbc4907895a004bf83bd81283e33","target":"graph","created_at":"2026-05-17T23:50:16Z","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"},"paper":{"abstract_excerpt":"We calculate the endomorphism dga of Franke's exotic algebraic model for the $K$-local stable homotopy category at odd primes. We unravel its original abstract structure to give explicit generators, differentials and products.","authors_text":"Carolyn Yarnall, Constanze Roitzheim, Eugenia Ellis, Laura Scull","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-09-20T15:23:46Z","title":"Endomorphisms of Exotic Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06219","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":"sha256:34a8e1b0407c32c57a459590dd6630e04f7eee937645eeaa5657367c5d397a28","target":"record","created_at":"2026-05-17T23:50:16Z","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":"fa3802f1d7727d37a286fb2ac60cb97ae2e4a84731bb58e3da8d2a6ba90b1e43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2016-09-20T15:23:46Z","title_canon_sha256":"b3fa3a6b14951e297ae18caafdb93e43fc51d734c0c5a5710db664a83e541919"},"schema_version":"1.0","source":{"id":"1609.06219","kind":"arxiv","version":2}},"canonical_sha256":"874589ddc32e1378d9461754f7a5aafcb63a64452f17d330c763a7bfe575c82a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"874589ddc32e1378d9461754f7a5aafcb63a64452f17d330c763a7bfe575c82a","first_computed_at":"2026-05-17T23:50:16.593126Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:16.593126Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CcZ8ZC0hjZ2k2BpBBX5S2rH+rWJ/ordKdKqOzy/X33eKp6AziA87uMbiVSeCwpdcBlErxDuGxhLhJvdwRJxzAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:16.594005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06219","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34a8e1b0407c32c57a459590dd6630e04f7eee937645eeaa5657367c5d397a28","sha256:b8e851eb5aa78c87ff56b527ac2facc139addbc4907895a004bf83bd81283e33"],"state_sha256":"25777d2be9ae894f8999928f84fcf088305859251ea5f19deca36dec05f93f41"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ffW8LdhqvwejIuLK+9pmlQnquMOIfRwrX2tNnufLNDj9K3TwK3rtCxDuEdqkr2HEDyZaIN5LTbJg/RBeDSH6AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T06:56:49.245426Z","bundle_sha256":"0410c82dcb25b6870b700baa01331e881b678959e1a39a9c4cdbd69f6a1e0bf1"}}