{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WDA5MYYC76SCLCUEEMGJ5R7P26","short_pith_number":"pith:WDA5MYYC","canonical_record":{"source":{"id":"1204.0840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-04T00:25:02Z","cross_cats_sorted":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"title_canon_sha256":"5b2d461fccf6c1c16bd579fa9cbdbe71932eb96632c5d073664fe608068676bf","abstract_canon_sha256":"5fbb2c1fffbf26d58d727dbee58c0357024501abdb8ba0b50724e9f517de0de0"},"schema_version":"1.0"},"canonical_sha256":"b0c1d66302ffa4258a84230c9ec7efd787a299be123865460bce4242149298d8","source":{"kind":"arxiv","id":"1204.0840","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0840","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0840v1","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0840","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"WDA5MYYC76SC","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WDA5MYYC76SCLCUE","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WDA5MYYC","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WDA5MYYC76SCLCUEEMGJ5R7P26","target":"record","payload":{"canonical_record":{"source":{"id":"1204.0840","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-04T00:25:02Z","cross_cats_sorted":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"title_canon_sha256":"5b2d461fccf6c1c16bd579fa9cbdbe71932eb96632c5d073664fe608068676bf","abstract_canon_sha256":"5fbb2c1fffbf26d58d727dbee58c0357024501abdb8ba0b50724e9f517de0de0"},"schema_version":"1.0"},"canonical_sha256":"b0c1d66302ffa4258a84230c9ec7efd787a299be123865460bce4242149298d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:13.754595Z","signature_b64":"xwk9y6Ut0N36s78T1+yfRxgc4Rjcptj4T3I1vUUGIem3Y0uUQv5hWAZOGTpWuUPtY2etadCqjvAc7ry5OwR/CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0c1d66302ffa4258a84230c9ec7efd787a299be123865460bce4242149298d8","last_reissued_at":"2026-05-18T03:55:13.753997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:13.753997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.0840","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":"2026-05-18T03:55:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmyHu4P4M0/ZRzvbuKE4Rjl9KxyH1ClGCiBVpoGN96qJFWE9+38ZKqEEgEGTlWJSg0lFaYvR6/4/drAgmREgCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:22:14.393697Z"},"content_sha256":"ab8d1652d172f6e13b26eb64f9a0436788bfbfa0712c8023c0b574b2909b33cb","schema_version":"1.0","event_id":"sha256:ab8d1652d172f6e13b26eb64f9a0436788bfbfa0712c8023c0b574b2909b33cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WDA5MYYC76SCLCUEEMGJ5R7P26","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"primary_cat":"math-ph","authors_text":"Barnana Roy, Bikashkali Midya, Toshiaki Tanaka","submitted_at":"2012-04-04T00:25:02Z","abstract_excerpt":"We investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials in the constant-mass background are steady against the variation of mass profiles. On the other hand, some physically relevant mass profiles can change the pattern of dynamical N-fold supersymmetry breaking in trigonometric, hyperbolic, and exponential potentials of both type B and type X_2. The latter results open the possibility of detecting experimentally phase transition of N-fold as well as o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0840","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":"2026-05-18T03:55:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GaYMCJXY8RrCZP/x9Tqqg4EoItFSTHYkx3xbEyNumBwSC0Hl7itXstkBfmJufiQAOIAnh4a2UwxHdPh0khXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T11:22:14.394048Z"},"content_sha256":"f74bf9ffd32f26f4eb447d4c66763e9eead2f1ad355a40362f0208f1755c74b7","schema_version":"1.0","event_id":"sha256:f74bf9ffd32f26f4eb447d4c66763e9eead2f1ad355a40362f0208f1755c74b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/bundle.json","state_url":"https://pith.science/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/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":"2026-06-08T11:22:14Z","links":{"resolver":"https://pith.science/pith/WDA5MYYC76SCLCUEEMGJ5R7P26","bundle":"https://pith.science/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/bundle.json","state":"https://pith.science/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WDA5MYYC76SCLCUEEMGJ5R7P26/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WDA5MYYC76SCLCUEEMGJ5R7P26","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":"5fbb2c1fffbf26d58d727dbee58c0357024501abdb8ba0b50724e9f517de0de0","cross_cats_sorted":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-04T00:25:02Z","title_canon_sha256":"5b2d461fccf6c1c16bd579fa9cbdbe71932eb96632c5d073664fe608068676bf"},"schema_version":"1.0","source":{"id":"1204.0840","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0840","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0840v1","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0840","created_at":"2026-05-18T03:55:13Z"},{"alias_kind":"pith_short_12","alias_value":"WDA5MYYC76SC","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WDA5MYYC76SCLCUE","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WDA5MYYC","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:f74bf9ffd32f26f4eb447d4c66763e9eead2f1ad355a40362f0208f1755c74b7","target":"graph","created_at":"2026-05-18T03:55:13Z","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 investigate effect of position-dependent mass profiles on dynamical breaking of N-fold supersymmetry in several type B and type X_2 models. We find that N-fold supersymmetry in rational potentials in the constant-mass background are steady against the variation of mass profiles. On the other hand, some physically relevant mass profiles can change the pattern of dynamical N-fold supersymmetry breaking in trigonometric, hyperbolic, and exponential potentials of both type B and type X_2. The latter results open the possibility of detecting experimentally phase transition of N-fold as well as o","authors_text":"Barnana Roy, Bikashkali Midya, Toshiaki Tanaka","cross_cats":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-04T00:25:02Z","title":"Effect of Position-dependent Mass on Dynamical Breaking of Type B and Type X_2 N-fold Supersymmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0840","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:ab8d1652d172f6e13b26eb64f9a0436788bfbfa0712c8023c0b574b2909b33cb","target":"record","created_at":"2026-05-18T03:55:13Z","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":"5fbb2c1fffbf26d58d727dbee58c0357024501abdb8ba0b50724e9f517de0de0","cross_cats_sorted":["cond-mat.other","hep-th","math.MP","physics.atm-clus"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-04-04T00:25:02Z","title_canon_sha256":"5b2d461fccf6c1c16bd579fa9cbdbe71932eb96632c5d073664fe608068676bf"},"schema_version":"1.0","source":{"id":"1204.0840","kind":"arxiv","version":1}},"canonical_sha256":"b0c1d66302ffa4258a84230c9ec7efd787a299be123865460bce4242149298d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0c1d66302ffa4258a84230c9ec7efd787a299be123865460bce4242149298d8","first_computed_at":"2026-05-18T03:55:13.753997Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:13.753997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xwk9y6Ut0N36s78T1+yfRxgc4Rjcptj4T3I1vUUGIem3Y0uUQv5hWAZOGTpWuUPtY2etadCqjvAc7ry5OwR/CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:13.754595Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0840","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab8d1652d172f6e13b26eb64f9a0436788bfbfa0712c8023c0b574b2909b33cb","sha256:f74bf9ffd32f26f4eb447d4c66763e9eead2f1ad355a40362f0208f1755c74b7"],"state_sha256":"ce27d8c1ddfea8afaf9f22600a5889fadf616404dcfaad891ff5cec0784f76ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1+stBa3iLf7Jw16p3Q2g/2yrvnvzIH0iN9P/xld3iyHYyQ764jzRSSzfv1g3OT9tyWocMGLhkHD41vEBvCDDBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T11:22:14.395970Z","bundle_sha256":"4e73e82b5983682a66d01f78b30f53e8ad365f383e27cc3171f574cbb4f9183d"}}