{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:7PTTLSIKIES5GBGE54YJILIBK3","short_pith_number":"pith:7PTTLSIK","canonical_record":{"source":{"id":"1212.1990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-10T07:48:24Z","cross_cats_sorted":["math.MP","physics.optics"],"title_canon_sha256":"cf4a13c87310fb6f506bf5be5841cca06ee07b739fb83fec314c13ab14e6d95b","abstract_canon_sha256":"c5796c8663c0593d7cbd2233d3c572f7167e37384fd61ad79c18b4c5c13e99b3"},"schema_version":"1.0"},"canonical_sha256":"fbe735c90a4125d304c4ef30942d0156fd430054371f3db4d0c06b397fd4f748","source":{"kind":"arxiv","id":"1212.1990","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1990","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1990v1","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1990","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"7PTTLSIKIES5","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7PTTLSIKIES5GBGE","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7PTTLSIK","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:7PTTLSIKIES5GBGE54YJILIBK3","target":"record","payload":{"canonical_record":{"source":{"id":"1212.1990","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-10T07:48:24Z","cross_cats_sorted":["math.MP","physics.optics"],"title_canon_sha256":"cf4a13c87310fb6f506bf5be5841cca06ee07b739fb83fec314c13ab14e6d95b","abstract_canon_sha256":"c5796c8663c0593d7cbd2233d3c572f7167e37384fd61ad79c18b4c5c13e99b3"},"schema_version":"1.0"},"canonical_sha256":"fbe735c90a4125d304c4ef30942d0156fd430054371f3db4d0c06b397fd4f748","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:54.567553Z","signature_b64":"g7SQN7Cv5V+s7i7w6C2Xk4SOEsxqSFEcsF0nV5PVlvAktrE2Wos0IL9M+aEy/0zulp95bIwTjmOP/zmV29jOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fbe735c90a4125d304c4ef30942d0156fd430054371f3db4d0c06b397fd4f748","last_reissued_at":"2026-05-18T03:38:54.567181Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:54.567181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.1990","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":"2026-05-18T03:38:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Twl92NPauX4Qw3rNu0iZmCLO9wUYvXQOWh5TElPyWJfn9SzKlRBbbtqXeEPPuq6k1lgDRpOmRCTgawMPa7KOCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:19:28.139209Z"},"content_sha256":"51e88c7a9cef059a36237a4d9475e8416681e4cdd670bc2c41c3c299d94d3c05","schema_version":"1.0","event_id":"sha256:51e88c7a9cef059a36237a4d9475e8416681e4cdd670bc2c41c3c299d94d3c05"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:7PTTLSIKIES5GBGE54YJILIBK3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a pragmatic approach optical analogues of gravitational attractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","physics.optics"],"primary_cat":"math-ph","authors_text":"A. B. Slimane, B. S. Ooi, D. P. San-Roman-Alerigi, M. Alsunaidi, T. K. Ng","submitted_at":"2012-12-10T07:48:24Z","abstract_excerpt":"In our work we theoretically demonstrate a refractive index mapping to enable optical analogues to celestial mechanics, where is possible to achieve light confinement and trapping by means of a static, and planar, refractive index mapping which could be implemented under current technological and [meta]material constraints at optical frequencies. The mathematical and physical background to make possible these effects bring forth an exciting ground to test celestial mechanics in the laboratory, and provides the key to enable miscellany of planar optical system that are of great interest to phot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1990","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":"2026-05-18T03:38:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MAvkzFq4K7Zb1kHAjCx3h+RuJGVn5t9XJy664ixtcuOCW+fL5UzdOuxklo3w4m/8xb+6DsFAKJmffctlQ3xzBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T20:19:28.139616Z"},"content_sha256":"9ecf91451a6b9aed72afe1de7da7a6c0922733f53af8b3047512959538b942ac","schema_version":"1.0","event_id":"sha256:9ecf91451a6b9aed72afe1de7da7a6c0922733f53af8b3047512959538b942ac"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7PTTLSIKIES5GBGE54YJILIBK3/bundle.json","state_url":"https://pith.science/pith/7PTTLSIKIES5GBGE54YJILIBK3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7PTTLSIKIES5GBGE54YJILIBK3/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":"2026-05-26T20:19:28Z","links":{"resolver":"https://pith.science/pith/7PTTLSIKIES5GBGE54YJILIBK3","bundle":"https://pith.science/pith/7PTTLSIKIES5GBGE54YJILIBK3/bundle.json","state":"https://pith.science/pith/7PTTLSIKIES5GBGE54YJILIBK3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7PTTLSIKIES5GBGE54YJILIBK3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7PTTLSIKIES5GBGE54YJILIBK3","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":"c5796c8663c0593d7cbd2233d3c572f7167e37384fd61ad79c18b4c5c13e99b3","cross_cats_sorted":["math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-10T07:48:24Z","title_canon_sha256":"cf4a13c87310fb6f506bf5be5841cca06ee07b739fb83fec314c13ab14e6d95b"},"schema_version":"1.0","source":{"id":"1212.1990","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.1990","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"arxiv_version","alias_value":"1212.1990v1","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.1990","created_at":"2026-05-18T03:38:54Z"},{"alias_kind":"pith_short_12","alias_value":"7PTTLSIKIES5","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"7PTTLSIKIES5GBGE","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"7PTTLSIK","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:9ecf91451a6b9aed72afe1de7da7a6c0922733f53af8b3047512959538b942ac","target":"graph","created_at":"2026-05-18T03:38:54Z","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":"In our work we theoretically demonstrate a refractive index mapping to enable optical analogues to celestial mechanics, where is possible to achieve light confinement and trapping by means of a static, and planar, refractive index mapping which could be implemented under current technological and [meta]material constraints at optical frequencies. The mathematical and physical background to make possible these effects bring forth an exciting ground to test celestial mechanics in the laboratory, and provides the key to enable miscellany of planar optical system that are of great interest to phot","authors_text":"A. B. Slimane, B. S. Ooi, D. P. San-Roman-Alerigi, M. Alsunaidi, T. K. Ng","cross_cats":["math.MP","physics.optics"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-10T07:48:24Z","title":"On a pragmatic approach optical analogues of gravitational attractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.1990","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":"sha256:51e88c7a9cef059a36237a4d9475e8416681e4cdd670bc2c41c3c299d94d3c05","target":"record","created_at":"2026-05-18T03:38:54Z","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":"c5796c8663c0593d7cbd2233d3c572f7167e37384fd61ad79c18b4c5c13e99b3","cross_cats_sorted":["math.MP","physics.optics"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-12-10T07:48:24Z","title_canon_sha256":"cf4a13c87310fb6f506bf5be5841cca06ee07b739fb83fec314c13ab14e6d95b"},"schema_version":"1.0","source":{"id":"1212.1990","kind":"arxiv","version":1}},"canonical_sha256":"fbe735c90a4125d304c4ef30942d0156fd430054371f3db4d0c06b397fd4f748","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fbe735c90a4125d304c4ef30942d0156fd430054371f3db4d0c06b397fd4f748","first_computed_at":"2026-05-18T03:38:54.567181Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:54.567181Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g7SQN7Cv5V+s7i7w6C2Xk4SOEsxqSFEcsF0nV5PVlvAktrE2Wos0IL9M+aEy/0zulp95bIwTjmOP/zmV29jOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:54.567553Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.1990","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:51e88c7a9cef059a36237a4d9475e8416681e4cdd670bc2c41c3c299d94d3c05","sha256:9ecf91451a6b9aed72afe1de7da7a6c0922733f53af8b3047512959538b942ac"],"state_sha256":"e2b4f208cf60a8221bc9468b2a49c70680442f2c3d09d77fb304a90ea2d794eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JD6Q4D9MyVwoX13kfz55/rYBXPXmnW44xWOs7cwHBrcksO1IiyGtvbYPF0Ma8gMuyV1I42KSNyc/wAtCAhv0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T20:19:28.142301Z","bundle_sha256":"4e549dc732bb7818ffed84751399c23bd2706d34af592d9cd5c2dca333357dca"}}