{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CD4XNQ2XVPH3IMK7MV46DED4GM","short_pith_number":"pith:CD4XNQ2X","canonical_record":{"source":{"id":"1902.03038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2019-02-08T12:01:29Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"0db8992a1b5e507ca6cd530fa35de97473649a0ac4fb96a85e9128b2ca5c5655","abstract_canon_sha256":"18716bbca75e98606edb64665c7dcd6a85c59c2eda704f686745840030fef195"},"schema_version":"1.0"},"canonical_sha256":"10f976c357abcfb4315f6579e1907c330e3ddc925fac396009041c42c3e09c80","source":{"kind":"arxiv","id":"1902.03038","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03038","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03038v1","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03038","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"CD4XNQ2XVPH3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"CD4XNQ2XVPH3IMK7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"CD4XNQ2X","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CD4XNQ2XVPH3IMK7MV46DED4GM","target":"record","payload":{"canonical_record":{"source":{"id":"1902.03038","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2019-02-08T12:01:29Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"0db8992a1b5e507ca6cd530fa35de97473649a0ac4fb96a85e9128b2ca5c5655","abstract_canon_sha256":"18716bbca75e98606edb64665c7dcd6a85c59c2eda704f686745840030fef195"},"schema_version":"1.0"},"canonical_sha256":"10f976c357abcfb4315f6579e1907c330e3ddc925fac396009041c42c3e09c80","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:28.534361Z","signature_b64":"83gE87cfPx/5vgC0LsbLSm2YEhdE4dje25Jk225+rlM5Z9m9qZUQVxobhdA/20zlKQ2X8B22D+lagJNdpA8zAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"10f976c357abcfb4315f6579e1907c330e3ddc925fac396009041c42c3e09c80","last_reissued_at":"2026-05-17T23:54:28.533699Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:28.533699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.03038","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":"2026-05-17T23:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Q45DCBQczz0I/iYG4ZewBvi9OicecM91YlzSfnDlkK5YpQVmAxklgFyco2nTc9mEJOHmY2r3ECK7DzmmkiyCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T09:06:09.077728Z"},"content_sha256":"e75cd04076a88dd89f409722ec8a2583ed042f43ad49e8a9ba8df7026325997c","schema_version":"1.0","event_id":"sha256:e75cd04076a88dd89f409722ec8a2583ed042f43ad49e8a9ba8df7026325997c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CD4XNQ2XVPH3IMK7MV46DED4GM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spectral geometry in a rotating frame: properties of the ground state","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.SP","authors_text":"Diana Barseghyan, Pavel Exner","submitted_at":"2019-02-08T12:01:29Z","abstract_excerpt":"We investigate spectral properties of the operator describing a quantum particle confined to a planar domain $\\Omega$ rotating around a fixed point with an angular velocity $\\omega$ and demonstrate several properties of its principal eigenvalue $\\lambda_1^\\omega$. We show that as a function of rotating center position it attains a unique maximum and has no other extrema provided the said position is unrestricted. Furthermore, we show that as a function $\\omega$, the eigenvalue attains a maximum at $\\omega=0$, unique unless $\\Omega$ has a full rotational symmetry. Finally, we present an upper b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03038","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":"2026-05-17T23:54:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YKroILy3hxuOZNAsS7/N00p+DduZW0+KqUpV/iXgSgPJOs44sApYJ4jKKghiIYwtghz9ThjNQyzDKz0inZgJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T09:06:09.078353Z"},"content_sha256":"0854979a02796285ed5177ce9e1206bbd0cb4ffaf13f3a1a46fa0297fb9b5a00","schema_version":"1.0","event_id":"sha256:0854979a02796285ed5177ce9e1206bbd0cb4ffaf13f3a1a46fa0297fb9b5a00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/bundle.json","state_url":"https://pith.science/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/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":"2026-07-01T09:06:09Z","links":{"resolver":"https://pith.science/pith/CD4XNQ2XVPH3IMK7MV46DED4GM","bundle":"https://pith.science/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/bundle.json","state":"https://pith.science/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CD4XNQ2XVPH3IMK7MV46DED4GM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CD4XNQ2XVPH3IMK7MV46DED4GM","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":"18716bbca75e98606edb64665c7dcd6a85c59c2eda704f686745840030fef195","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2019-02-08T12:01:29Z","title_canon_sha256":"0db8992a1b5e507ca6cd530fa35de97473649a0ac4fb96a85e9128b2ca5c5655"},"schema_version":"1.0","source":{"id":"1902.03038","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03038","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03038v1","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03038","created_at":"2026-05-17T23:54:28Z"},{"alias_kind":"pith_short_12","alias_value":"CD4XNQ2XVPH3","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"CD4XNQ2XVPH3IMK7","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"CD4XNQ2X","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:0854979a02796285ed5177ce9e1206bbd0cb4ffaf13f3a1a46fa0297fb9b5a00","target":"graph","created_at":"2026-05-17T23:54:28Z","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 spectral properties of the operator describing a quantum particle confined to a planar domain $\\Omega$ rotating around a fixed point with an angular velocity $\\omega$ and demonstrate several properties of its principal eigenvalue $\\lambda_1^\\omega$. We show that as a function of rotating center position it attains a unique maximum and has no other extrema provided the said position is unrestricted. Furthermore, we show that as a function $\\omega$, the eigenvalue attains a maximum at $\\omega=0$, unique unless $\\Omega$ has a full rotational symmetry. Finally, we present an upper b","authors_text":"Diana Barseghyan, Pavel Exner","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2019-02-08T12:01:29Z","title":"Spectral geometry in a rotating frame: properties of the ground state"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03038","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:e75cd04076a88dd89f409722ec8a2583ed042f43ad49e8a9ba8df7026325997c","target":"record","created_at":"2026-05-17T23:54:28Z","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":"18716bbca75e98606edb64665c7dcd6a85c59c2eda704f686745840030fef195","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2019-02-08T12:01:29Z","title_canon_sha256":"0db8992a1b5e507ca6cd530fa35de97473649a0ac4fb96a85e9128b2ca5c5655"},"schema_version":"1.0","source":{"id":"1902.03038","kind":"arxiv","version":1}},"canonical_sha256":"10f976c357abcfb4315f6579e1907c330e3ddc925fac396009041c42c3e09c80","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"10f976c357abcfb4315f6579e1907c330e3ddc925fac396009041c42c3e09c80","first_computed_at":"2026-05-17T23:54:28.533699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:28.533699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"83gE87cfPx/5vgC0LsbLSm2YEhdE4dje25Jk225+rlM5Z9m9qZUQVxobhdA/20zlKQ2X8B22D+lagJNdpA8zAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:28.534361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.03038","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e75cd04076a88dd89f409722ec8a2583ed042f43ad49e8a9ba8df7026325997c","sha256:0854979a02796285ed5177ce9e1206bbd0cb4ffaf13f3a1a46fa0297fb9b5a00"],"state_sha256":"c63fb07ab98a79be21240956d3bac0daff7d972cadf015f8f1da6c92c84f65b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YwRWWSP5JAEzxmv5k1m9BYSc5l7qGQbQy+X9oUCXhFxModZguS49UKoI/6Tu5+EfwMxkCl90MEY4Vb8AT1OyAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T09:06:09.081668Z","bundle_sha256":"e76f1d44206b40b9ae2e8edfe91b9d9d21c80a9b39954895f915fcf6fc9e39e4"}}