{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:Y5DM3SA4SACUV4TCZYQTFSGN5A","short_pith_number":"pith:Y5DM3SA4","canonical_record":{"source":{"id":"1707.03893","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-12T20:17:20Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"f10cf49b486dd81f822aa95cf6a47cb0040312179c67a43afe98c5a86e4737de","abstract_canon_sha256":"915f3937326a25a37dccd2696748677c30466a40c91e821f5443697344fec77c"},"schema_version":"1.0"},"canonical_sha256":"c746cdc81c90054af262ce2132c8cde82ae2b0bbab9cd7bc7bd12507b7227296","source":{"kind":"arxiv","id":"1707.03893","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03893","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03893v3","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03893","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"Y5DM3SA4SACU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y5DM3SA4SACUV4TC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y5DM3SA4","created_at":"2026-05-18T12:31:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:Y5DM3SA4SACUV4TCZYQTFSGN5A","target":"record","payload":{"canonical_record":{"source":{"id":"1707.03893","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-12T20:17:20Z","cross_cats_sorted":["cond-mat.other"],"title_canon_sha256":"f10cf49b486dd81f822aa95cf6a47cb0040312179c67a43afe98c5a86e4737de","abstract_canon_sha256":"915f3937326a25a37dccd2696748677c30466a40c91e821f5443697344fec77c"},"schema_version":"1.0"},"canonical_sha256":"c746cdc81c90054af262ce2132c8cde82ae2b0bbab9cd7bc7bd12507b7227296","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:06:06.212353Z","signature_b64":"bFFLtSlY8/UVgSbiLE6aQP6PNRgTFeR5BYRi7wKYP0bxmxX3oEXTCCKs5wvnv1b+FS3s1v5xbZ+YtxLNJYoTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c746cdc81c90054af262ce2132c8cde82ae2b0bbab9cd7bc7bd12507b7227296","last_reissued_at":"2026-05-18T00:06:06.211768Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:06:06.211768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1707.03893","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ChGveFPVWwCgxDhW2QoFzbzjuBF+KsyZA/psPf5lj3MGAMBsI9iklzoVXvdSv+ZLy7aYYlWkvZ8VeMR7rPqoCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:38:58.168045Z"},"content_sha256":"526a3dd0737e57743243628613c7e0d73c4c6ea98f151bd7cfde76e46d22a107","schema_version":"1.0","event_id":"sha256:526a3dd0737e57743243628613c7e0d73c4c6ea98f151bd7cfde76e46d22a107"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:Y5DM3SA4SACUV4TCZYQTFSGN5A","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collective phases of identical particles interfering on linear multiports","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other"],"primary_cat":"quant-ph","authors_text":"M. E. O. Bezerra, V. S. Shchesnovich","submitted_at":"2017-07-12T20:17:20Z","abstract_excerpt":"We introduce collective geometric phases of bosons and fermions interfering on a linear unitary multiport, where each phase depends on the internal states of identical particles (i.e., not affected by the multiport) and corresponds to a cycle of the symmetric group. We show that quantum interference of $N$ particles in generic pure internal states, i.e., with no pair being orthogonal, is governed by $(N-1)(N-2)/2$ independent triad phases (each involving only three particles). The deterministic distinguishability, preventing quantum interference with two or three particles, allows for the genu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03893","kind":"arxiv","version":3},"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":"2026-05-18T00:06:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mth+tMdqewWiBn0qawEaTlZbBu9/SYzdiHaDWPqD4SCITZzm+BWXH/oemF8RHzBY6TNUNXn81glxlQX38/RwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:38:58.168533Z"},"content_sha256":"c5effced311c52de852b8786695b65b36106c2d52d61fbd62ada5ca464308a89","schema_version":"1.0","event_id":"sha256:c5effced311c52de852b8786695b65b36106c2d52d61fbd62ada5ca464308a89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/bundle.json","state_url":"https://pith.science/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/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":"2026-05-28T04:38:58Z","links":{"resolver":"https://pith.science/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A","bundle":"https://pith.science/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/bundle.json","state":"https://pith.science/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y5DM3SA4SACUV4TCZYQTFSGN5A/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:Y5DM3SA4SACUV4TCZYQTFSGN5A","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":"915f3937326a25a37dccd2696748677c30466a40c91e821f5443697344fec77c","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-12T20:17:20Z","title_canon_sha256":"f10cf49b486dd81f822aa95cf6a47cb0040312179c67a43afe98c5a86e4737de"},"schema_version":"1.0","source":{"id":"1707.03893","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.03893","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"arxiv_version","alias_value":"1707.03893v3","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.03893","created_at":"2026-05-18T00:06:06Z"},{"alias_kind":"pith_short_12","alias_value":"Y5DM3SA4SACU","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"Y5DM3SA4SACUV4TC","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"Y5DM3SA4","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:c5effced311c52de852b8786695b65b36106c2d52d61fbd62ada5ca464308a89","target":"graph","created_at":"2026-05-18T00:06:06Z","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 introduce collective geometric phases of bosons and fermions interfering on a linear unitary multiport, where each phase depends on the internal states of identical particles (i.e., not affected by the multiport) and corresponds to a cycle of the symmetric group. We show that quantum interference of $N$ particles in generic pure internal states, i.e., with no pair being orthogonal, is governed by $(N-1)(N-2)/2$ independent triad phases (each involving only three particles). The deterministic distinguishability, preventing quantum interference with two or three particles, allows for the genu","authors_text":"M. E. O. Bezerra, V. S. Shchesnovich","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-12T20:17:20Z","title":"Collective phases of identical particles interfering on linear multiports"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.03893","kind":"arxiv","version":3},"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":"sha256:526a3dd0737e57743243628613c7e0d73c4c6ea98f151bd7cfde76e46d22a107","target":"record","created_at":"2026-05-18T00:06:06Z","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":"915f3937326a25a37dccd2696748677c30466a40c91e821f5443697344fec77c","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-07-12T20:17:20Z","title_canon_sha256":"f10cf49b486dd81f822aa95cf6a47cb0040312179c67a43afe98c5a86e4737de"},"schema_version":"1.0","source":{"id":"1707.03893","kind":"arxiv","version":3}},"canonical_sha256":"c746cdc81c90054af262ce2132c8cde82ae2b0bbab9cd7bc7bd12507b7227296","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c746cdc81c90054af262ce2132c8cde82ae2b0bbab9cd7bc7bd12507b7227296","first_computed_at":"2026-05-18T00:06:06.211768Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:06.211768Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bFFLtSlY8/UVgSbiLE6aQP6PNRgTFeR5BYRi7wKYP0bxmxX3oEXTCCKs5wvnv1b+FS3s1v5xbZ+YtxLNJYoTBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:06.212353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.03893","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:526a3dd0737e57743243628613c7e0d73c4c6ea98f151bd7cfde76e46d22a107","sha256:c5effced311c52de852b8786695b65b36106c2d52d61fbd62ada5ca464308a89"],"state_sha256":"568f5e431f1c15557ad644eb3e3a038a3120f7dadc0464cec2e13a96aeacbf10"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vjDmvmYDXKq1/BJ+KNh3vBKszxIavcq6Za63u+6cVsO7Y20MDqia9jk3qNJDvWjSd7lw9AVAA4pAL0sC3FCdDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:38:58.170572Z","bundle_sha256":"04b0d146945ca6205a515a4d91c771f5d5f972ddb2113cfc4a756a14de428256"}}