{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:6JT2NIMIBB4SX5SCKGH6J33IB5","short_pith_number":"pith:6JT2NIMI","canonical_record":{"source":{"id":"1709.03508","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-11T18:00:03Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"5580babd490367116e5f41ab7d833627074e20057e856992b6c4d224d4bd55be","abstract_canon_sha256":"7de2778cb075f93485321cb7b881a75d2c812834464225fd1f7e29c8b18d81bd"},"schema_version":"1.0"},"canonical_sha256":"f267a6a18808792bf642518fe4ef680f63f39453bac644605da3c09fc6acd502","source":{"kind":"arxiv","id":"1709.03508","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03508","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03508v2","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03508","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"6JT2NIMIBB4S","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6JT2NIMIBB4SX5SC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6JT2NIMI","created_at":"2026-05-18T12:31:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:6JT2NIMIBB4SX5SCKGH6J33IB5","target":"record","payload":{"canonical_record":{"source":{"id":"1709.03508","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-11T18:00:03Z","cross_cats_sorted":["cond-mat.str-el"],"title_canon_sha256":"5580babd490367116e5f41ab7d833627074e20057e856992b6c4d224d4bd55be","abstract_canon_sha256":"7de2778cb075f93485321cb7b881a75d2c812834464225fd1f7e29c8b18d81bd"},"schema_version":"1.0"},"canonical_sha256":"f267a6a18808792bf642518fe4ef680f63f39453bac644605da3c09fc6acd502","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:37.456757Z","signature_b64":"miqKECoPvZzdB6T0nIXsyXziaU0wrAzO3LZxR7nXiG4DbxudzMtZOOZDd9GY7aRE8Z80N0BP6ZhSGs7ow06nDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f267a6a18808792bf642518fe4ef680f63f39453bac644605da3c09fc6acd502","last_reissued_at":"2026-05-18T00:24:37.456130Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:37.456130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1709.03508","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":"2026-05-18T00:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/BRhaUSgAEC0vWJxzz57by0IhAWYs+lZ3TE0ZA4jeaL9CKsZyqu7vx2xElzOjyn7T6335NHyh0X3cCwJtnNrCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:02:44.851066Z"},"content_sha256":"825311b0fda27a5f4904566f1d6f5dd583cf2a2c2fb6beaefac8950609fb0964","schema_version":"1.0","event_id":"sha256:825311b0fda27a5f4904566f1d6f5dd583cf2a2c2fb6beaefac8950609fb0964"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:6JT2NIMIBB4SX5SCKGH6J33IB5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topology and edge modes in quantum critical chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"cond-mat.mes-hall","authors_text":"Frank Pollmann, Nick G. Jones, Ruben Verresen","submitted_at":"2017-09-11T18:00:03Z","abstract_excerpt":"We show that topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in contrast to recent work on edge modes in gapless chains. We present an intuitive picture for the existence of these edge modes in the case of non-interacting spinless fermions with time reversal symmetry (BDI class of the tenfold way). The stability of this phenomenon relies on a topological invariant defined in terms of a complex function, counting its zeros "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03508","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":"2026-05-18T00:24:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SO1iGgWpZL90aiLiiVuE6ojO4lKgRp+TCTLYyIBaAH0nd3mg8FLPlnFC8CykCQnwNZilJsAQCyla6OmOyImQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:02:44.851710Z"},"content_sha256":"b3246845914147956f8b8f034cac60b20619efea4ec90f8d58892bc4ee849caf","schema_version":"1.0","event_id":"sha256:b3246845914147956f8b8f034cac60b20619efea4ec90f8d58892bc4ee849caf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/bundle.json","state_url":"https://pith.science/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/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":"2026-05-25T22:02:44Z","links":{"resolver":"https://pith.science/pith/6JT2NIMIBB4SX5SCKGH6J33IB5","bundle":"https://pith.science/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/bundle.json","state":"https://pith.science/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6JT2NIMIBB4SX5SCKGH6J33IB5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:6JT2NIMIBB4SX5SCKGH6J33IB5","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":"7de2778cb075f93485321cb7b881a75d2c812834464225fd1f7e29c8b18d81bd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-11T18:00:03Z","title_canon_sha256":"5580babd490367116e5f41ab7d833627074e20057e856992b6c4d224d4bd55be"},"schema_version":"1.0","source":{"id":"1709.03508","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.03508","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"arxiv_version","alias_value":"1709.03508v2","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.03508","created_at":"2026-05-18T00:24:37Z"},{"alias_kind":"pith_short_12","alias_value":"6JT2NIMIBB4S","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_16","alias_value":"6JT2NIMIBB4SX5SC","created_at":"2026-05-18T12:31:03Z"},{"alias_kind":"pith_short_8","alias_value":"6JT2NIMI","created_at":"2026-05-18T12:31:03Z"}],"graph_snapshots":[{"event_id":"sha256:b3246845914147956f8b8f034cac60b20619efea4ec90f8d58892bc4ee849caf","target":"graph","created_at":"2026-05-18T00:24:37Z","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 topology can protect exponentially localized, zero energy edge modes at critical points between one-dimensional symmetry protected topological phases. This is possible even without gapped degrees of freedom in the bulk ---in contrast to recent work on edge modes in gapless chains. We present an intuitive picture for the existence of these edge modes in the case of non-interacting spinless fermions with time reversal symmetry (BDI class of the tenfold way). The stability of this phenomenon relies on a topological invariant defined in terms of a complex function, counting its zeros ","authors_text":"Frank Pollmann, Nick G. Jones, Ruben Verresen","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-11T18:00:03Z","title":"Topology and edge modes in quantum critical chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.03508","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":"sha256:825311b0fda27a5f4904566f1d6f5dd583cf2a2c2fb6beaefac8950609fb0964","target":"record","created_at":"2026-05-18T00:24:37Z","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":"7de2778cb075f93485321cb7b881a75d2c812834464225fd1f7e29c8b18d81bd","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2017-09-11T18:00:03Z","title_canon_sha256":"5580babd490367116e5f41ab7d833627074e20057e856992b6c4d224d4bd55be"},"schema_version":"1.0","source":{"id":"1709.03508","kind":"arxiv","version":2}},"canonical_sha256":"f267a6a18808792bf642518fe4ef680f63f39453bac644605da3c09fc6acd502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f267a6a18808792bf642518fe4ef680f63f39453bac644605da3c09fc6acd502","first_computed_at":"2026-05-18T00:24:37.456130Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:37.456130Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"miqKECoPvZzdB6T0nIXsyXziaU0wrAzO3LZxR7nXiG4DbxudzMtZOOZDd9GY7aRE8Z80N0BP6ZhSGs7ow06nDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:37.456757Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.03508","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:825311b0fda27a5f4904566f1d6f5dd583cf2a2c2fb6beaefac8950609fb0964","sha256:b3246845914147956f8b8f034cac60b20619efea4ec90f8d58892bc4ee849caf"],"state_sha256":"f0f541d222b52ac5ac5716130e5eac38b9cd4447817194349d57673ded6e46e2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4FhlWu08ZW1i8Jsg0aVZ6BJGhbGVWeCx8ebVZFfqzsvEKgQ+ApW2PbCgNTTEhA056CWiGxURJlubBylTlYA3CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:02:44.855190Z","bundle_sha256":"cd6c2795966d0a188fb0cb552aecfd319ea3b08efc6dc4e80c434798b1eb7838"}}