{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QBALDGSQV4HTQCEDAOLGD5Q6US","short_pith_number":"pith:QBALDGSQ","canonical_record":{"source":{"id":"1705.10137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-05-29T11:55:48Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"44c565fb65b04f8f5134d0adcf275d5b33e63e27dfa38d0de1b34e69ac2e42fd","abstract_canon_sha256":"9e47826de4b022488b8cbd3f75babc6ab5e0acb4088141718173d8d48269eefc"},"schema_version":"1.0"},"canonical_sha256":"8040b19a50af0f380883039661f61ea49896673a884ce6eaa6ddc1e82210a8a2","source":{"kind":"arxiv","id":"1705.10137","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10137","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10137v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10137","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBALDGSQV4HT","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QBALDGSQV4HTQCED","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QBALDGSQ","created_at":"2026-05-18T12:31:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QBALDGSQV4HTQCEDAOLGD5Q6US","target":"record","payload":{"canonical_record":{"source":{"id":"1705.10137","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-05-29T11:55:48Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"44c565fb65b04f8f5134d0adcf275d5b33e63e27dfa38d0de1b34e69ac2e42fd","abstract_canon_sha256":"9e47826de4b022488b8cbd3f75babc6ab5e0acb4088141718173d8d48269eefc"},"schema_version":"1.0"},"canonical_sha256":"8040b19a50af0f380883039661f61ea49896673a884ce6eaa6ddc1e82210a8a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:31.873994Z","signature_b64":"iOVwgi5OCpPrdSwVJMyuHBo72Of0tbl38rbCY/gXIbMGidfrbTR/fc2hnTrgF+aqWaDxPEsIVuU4l6xb6qObAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8040b19a50af0f380883039661f61ea49896673a884ce6eaa6ddc1e82210a8a2","last_reissued_at":"2026-05-18T00:43:31.873345Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:31.873345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.10137","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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SxvlLGvVJtZ3r5eKrMWT+WmbV8oN6Ga3fRGleKxfY9OdCCZne3wSMm58WuQNG+9zXZfqQUqSzbV+GWud88QpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:45:21.761742Z"},"content_sha256":"918b20c505fc157abec69734e7232b4ff0b5a427ad5f7689299d65b9a129c65b","schema_version":"1.0","event_id":"sha256:918b20c505fc157abec69734e7232b4ff0b5a427ad5f7689299d65b9a129c65b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QBALDGSQV4HTQCEDAOLGD5Q6US","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The asymptotic Connes-Moscovici characteristic map and the index cocycles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.KT","authors_text":"Atabey Kaygun, Serkan S\\\"utl\\\"u","submitted_at":"2017-05-29T11:55:48Z","abstract_excerpt":"We show that the (even and odd) index cocycles for theta-summable Fredholm modules are in the image of the Connes-Moscovici characteristic map. To show this, we first define a new range of asymptotic cohomologies, and then we extend the Connes-Moscovici characteristic map to our setting. The ordinary periodic cyclic cohomology and the entire cyclic cohomology appear as two instances of this setup. We then construct an asymptotic characteristic class, defined independently from the underlying Fredholm module. Paired with the $K$-theory, the image of this class under the characteristic map yield"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10137","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":""},"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":"2026-05-18T00:43:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ducw9xvbNHC9Enx0tKARgHNtvSDWC/fqFHR2f4LgR2RUGX3eN52XIwd+bv2EMegzoWkaYSx0UhX2mtlh7SBsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:45:21.762087Z"},"content_sha256":"d93d5c5b02ed57269daf8b3954961235e2b67e329e00cae00068d44071d4ada0","schema_version":"1.0","event_id":"sha256:d93d5c5b02ed57269daf8b3954961235e2b67e329e00cae00068d44071d4ada0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/bundle.json","state_url":"https://pith.science/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/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":"2026-05-28T12:45:21Z","links":{"resolver":"https://pith.science/pith/QBALDGSQV4HTQCEDAOLGD5Q6US","bundle":"https://pith.science/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/bundle.json","state":"https://pith.science/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBALDGSQV4HTQCEDAOLGD5Q6US/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QBALDGSQV4HTQCEDAOLGD5Q6US","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":"9e47826de4b022488b8cbd3f75babc6ab5e0acb4088141718173d8d48269eefc","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-05-29T11:55:48Z","title_canon_sha256":"44c565fb65b04f8f5134d0adcf275d5b33e63e27dfa38d0de1b34e69ac2e42fd"},"schema_version":"1.0","source":{"id":"1705.10137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.10137","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"arxiv_version","alias_value":"1705.10137v1","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.10137","created_at":"2026-05-18T00:43:31Z"},{"alias_kind":"pith_short_12","alias_value":"QBALDGSQV4HT","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_16","alias_value":"QBALDGSQV4HTQCED","created_at":"2026-05-18T12:31:37Z"},{"alias_kind":"pith_short_8","alias_value":"QBALDGSQ","created_at":"2026-05-18T12:31:37Z"}],"graph_snapshots":[{"event_id":"sha256:d93d5c5b02ed57269daf8b3954961235e2b67e329e00cae00068d44071d4ada0","target":"graph","created_at":"2026-05-18T00:43:31Z","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 show that the (even and odd) index cocycles for theta-summable Fredholm modules are in the image of the Connes-Moscovici characteristic map. To show this, we first define a new range of asymptotic cohomologies, and then we extend the Connes-Moscovici characteristic map to our setting. The ordinary periodic cyclic cohomology and the entire cyclic cohomology appear as two instances of this setup. We then construct an asymptotic characteristic class, defined independently from the underlying Fredholm module. Paired with the $K$-theory, the image of this class under the characteristic map yield","authors_text":"Atabey Kaygun, Serkan S\\\"utl\\\"u","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-05-29T11:55:48Z","title":"The asymptotic Connes-Moscovici characteristic map and the index cocycles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.10137","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":"sha256:918b20c505fc157abec69734e7232b4ff0b5a427ad5f7689299d65b9a129c65b","target":"record","created_at":"2026-05-18T00:43:31Z","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":"9e47826de4b022488b8cbd3f75babc6ab5e0acb4088141718173d8d48269eefc","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-05-29T11:55:48Z","title_canon_sha256":"44c565fb65b04f8f5134d0adcf275d5b33e63e27dfa38d0de1b34e69ac2e42fd"},"schema_version":"1.0","source":{"id":"1705.10137","kind":"arxiv","version":1}},"canonical_sha256":"8040b19a50af0f380883039661f61ea49896673a884ce6eaa6ddc1e82210a8a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8040b19a50af0f380883039661f61ea49896673a884ce6eaa6ddc1e82210a8a2","first_computed_at":"2026-05-18T00:43:31.873345Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:31.873345Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iOVwgi5OCpPrdSwVJMyuHBo72Of0tbl38rbCY/gXIbMGidfrbTR/fc2hnTrgF+aqWaDxPEsIVuU4l6xb6qObAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:31.873994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.10137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:918b20c505fc157abec69734e7232b4ff0b5a427ad5f7689299d65b9a129c65b","sha256:d93d5c5b02ed57269daf8b3954961235e2b67e329e00cae00068d44071d4ada0"],"state_sha256":"5ed354dc660184869e47c568d549489bf370f1d6755c6cde5c67cc5eaa7e3d50"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ETEsO7RBc/5XEc4vD9h7iixPcVIsYIvPPwBDM+XpNf5RN6cZK61f6Yq4q8g1d+Owju78ETYKhuDt/JYWaJ1sDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:45:21.768929Z","bundle_sha256":"b32281f6b90517501629d0b9ca6145d1560c24ca53caef8903b403fd8f76bd45"}}