{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QHQ3JLCMPM4U562HDXULLOS2A7","short_pith_number":"pith:QHQ3JLCM","canonical_record":{"source":{"id":"1808.08278","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-08-18T15:09:42Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38d14fe0a9c932c76e52280cf1bc11d75c4d419fa0914f2529e9f28386ae21cf","abstract_canon_sha256":"6761faf0a2c1ebf27b8d54758689f3a27f4f566c55de21532c438cfc0d0d3eab"},"schema_version":"1.0"},"canonical_sha256":"81e1b4ac4c7b394efb471de8b5ba5a07e5b8e20458cd7e172469267ca0213e13","source":{"kind":"arxiv","id":"1808.08278","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08278","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08278v1","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08278","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"QHQ3JLCMPM4U","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QHQ3JLCMPM4U562H","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QHQ3JLCM","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QHQ3JLCMPM4U562HDXULLOS2A7","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08278","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-08-18T15:09:42Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"38d14fe0a9c932c76e52280cf1bc11d75c4d419fa0914f2529e9f28386ae21cf","abstract_canon_sha256":"6761faf0a2c1ebf27b8d54758689f3a27f4f566c55de21532c438cfc0d0d3eab"},"schema_version":"1.0"},"canonical_sha256":"81e1b4ac4c7b394efb471de8b5ba5a07e5b8e20458cd7e172469267ca0213e13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:21.639184Z","signature_b64":"EQcJu16p7L8eJdap9zcA25OGPZmleETwgIiEUA1FFELmSPuwOiQ5rZ7gaseOg9mn50TzI5/EQKqP1lZ2wcEIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81e1b4ac4c7b394efb471de8b5ba5a07e5b8e20458cd7e172469267ca0213e13","last_reissued_at":"2026-05-18T00:07:21.638435Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:21.638435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08278","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":"2026-05-18T00:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DGvV3MGxZpmpC63i5R00AhAiy/rDQtU5fjlxQQmBGutYjH1PytSQFnPLRCKKguD5NsFcbPfi+Hl6COQBZ8TbAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:28:55.494408Z"},"content_sha256":"4f5731b278d5ea810ef274f6b183a31898d8f0171034896111867f4c5262b7a6","schema_version":"1.0","event_id":"sha256:4f5731b278d5ea810ef274f6b183a31898d8f0171034896111867f4c5262b7a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QHQ3JLCMPM4U562HDXULLOS2A7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Variational Procedure for Higher-Derivative Mechanical Models in a Fractional Integral Framework","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"physics.class-ph","authors_text":"C. F. L. Godinho, J. A. Helay\\\"el Neto, Nelson Panza","submitted_at":"2018-08-18T15:09:42Z","abstract_excerpt":"We present both the Lagrangian and Hamiltonian procedures for treating higher-order equations of motion for mechanical models by adopting the Riemann-Liouville Fractional integral to describe their action. We point out and discuss its efficacy and difficulties. We also present the physical and geometric interpretations for the approach we pursue and present the details of a higher-order harmonic oscillator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08278","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":"2026-05-18T00:07:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uR3H+H88zoNR9e1LZh6ZOuDDWwYq3bhQQ8JLoRSMNumxTjbOJtk8+PyfKkZPtPhTmvTlDX8CGEluh8KQ+fjlDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T04:28:55.494774Z"},"content_sha256":"9ffbee59b945682bdf57fbba69d4bff130db1d94302454195413457e4b8efd03","schema_version":"1.0","event_id":"sha256:9ffbee59b945682bdf57fbba69d4bff130db1d94302454195413457e4b8efd03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QHQ3JLCMPM4U562HDXULLOS2A7/bundle.json","state_url":"https://pith.science/pith/QHQ3JLCMPM4U562HDXULLOS2A7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QHQ3JLCMPM4U562HDXULLOS2A7/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":"2026-06-01T04:28:55Z","links":{"resolver":"https://pith.science/pith/QHQ3JLCMPM4U562HDXULLOS2A7","bundle":"https://pith.science/pith/QHQ3JLCMPM4U562HDXULLOS2A7/bundle.json","state":"https://pith.science/pith/QHQ3JLCMPM4U562HDXULLOS2A7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QHQ3JLCMPM4U562HDXULLOS2A7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QHQ3JLCMPM4U562HDXULLOS2A7","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":"6761faf0a2c1ebf27b8d54758689f3a27f4f566c55de21532c438cfc0d0d3eab","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-08-18T15:09:42Z","title_canon_sha256":"38d14fe0a9c932c76e52280cf1bc11d75c4d419fa0914f2529e9f28386ae21cf"},"schema_version":"1.0","source":{"id":"1808.08278","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08278","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08278v1","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08278","created_at":"2026-05-18T00:07:21Z"},{"alias_kind":"pith_short_12","alias_value":"QHQ3JLCMPM4U","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QHQ3JLCMPM4U562H","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QHQ3JLCM","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:9ffbee59b945682bdf57fbba69d4bff130db1d94302454195413457e4b8efd03","target":"graph","created_at":"2026-05-18T00:07:21Z","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 present both the Lagrangian and Hamiltonian procedures for treating higher-order equations of motion for mechanical models by adopting the Riemann-Liouville Fractional integral to describe their action. We point out and discuss its efficacy and difficulties. We also present the physical and geometric interpretations for the approach we pursue and present the details of a higher-order harmonic oscillator.","authors_text":"C. F. L. Godinho, J. A. Helay\\\"el Neto, Nelson Panza","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-08-18T15:09:42Z","title":"Variational Procedure for Higher-Derivative Mechanical Models in a Fractional Integral Framework"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08278","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":"sha256:4f5731b278d5ea810ef274f6b183a31898d8f0171034896111867f4c5262b7a6","target":"record","created_at":"2026-05-18T00:07:21Z","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":"6761faf0a2c1ebf27b8d54758689f3a27f4f566c55de21532c438cfc0d0d3eab","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2018-08-18T15:09:42Z","title_canon_sha256":"38d14fe0a9c932c76e52280cf1bc11d75c4d419fa0914f2529e9f28386ae21cf"},"schema_version":"1.0","source":{"id":"1808.08278","kind":"arxiv","version":1}},"canonical_sha256":"81e1b4ac4c7b394efb471de8b5ba5a07e5b8e20458cd7e172469267ca0213e13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81e1b4ac4c7b394efb471de8b5ba5a07e5b8e20458cd7e172469267ca0213e13","first_computed_at":"2026-05-18T00:07:21.638435Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:21.638435Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EQcJu16p7L8eJdap9zcA25OGPZmleETwgIiEUA1FFELmSPuwOiQ5rZ7gaseOg9mn50TzI5/EQKqP1lZ2wcEIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:21.639184Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08278","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f5731b278d5ea810ef274f6b183a31898d8f0171034896111867f4c5262b7a6","sha256:9ffbee59b945682bdf57fbba69d4bff130db1d94302454195413457e4b8efd03"],"state_sha256":"fdbf2389a61fb9085d464c8afc0f0669c63fefd066c225627781055b1be6f46e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1++ABaZp3iEjNMnNPiZzB/MQMUygTg4lcn4/ZKnmMYFE8RDsw4IGwBM0GodQ6suJo/JU8XSwhTyye76YmC3YDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T04:28:55.496879Z","bundle_sha256":"a4f4923556e5447709844e4c04ddd4176454b7e9080578b518640055bd0b90b9"}}