{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JP77CEJDUY5BHV4EMLZJ5WDQDC","short_pith_number":"pith:JP77CEJD","canonical_record":{"source":{"id":"1407.3425","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-07-13T01:19:10Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"7e9f96c5f9dc9642410c89b839635bad62c9d5e67cc3f8c9b6297a44075cdba7","abstract_canon_sha256":"1fa98770b5911d786643d524335debd456cfff61431c593a036bc603332bce19"},"schema_version":"1.0"},"canonical_sha256":"4bfff11123a63a13d78462f29ed870188d7d218d31ac35012272f787247a29d1","source":{"kind":"arxiv","id":"1407.3425","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3425","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3425v2","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3425","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"pith_short_12","alias_value":"JP77CEJDUY5B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JP77CEJDUY5BHV4E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JP77CEJD","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JP77CEJDUY5BHV4EMLZJ5WDQDC","target":"record","payload":{"canonical_record":{"source":{"id":"1407.3425","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-07-13T01:19:10Z","cross_cats_sorted":["physics.class-ph"],"title_canon_sha256":"7e9f96c5f9dc9642410c89b839635bad62c9d5e67cc3f8c9b6297a44075cdba7","abstract_canon_sha256":"1fa98770b5911d786643d524335debd456cfff61431c593a036bc603332bce19"},"schema_version":"1.0"},"canonical_sha256":"4bfff11123a63a13d78462f29ed870188d7d218d31ac35012272f787247a29d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:50.479503Z","signature_b64":"B8ItW2gkg82a2mtT+mdBR6Vn2dv7F47uLt0Yh+ch7H45jeIlw+lCUNWnM9LUjapxkknkDFpxOU+IT7HN3IYHAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bfff11123a63a13d78462f29ed870188d7d218d31ac35012272f787247a29d1","last_reissued_at":"2026-05-18T00:27:50.479043Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:50.479043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.3425","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":"2026-05-18T00:27:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sog2HVcStKBMHP+pOHjKvsHC12FSi+RN3g5IrAu44RuCrAarfjsaMTnBphUWQfb3qfkJuZ6/Omh0KlLH+5gKDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:11:50.001516Z"},"content_sha256":"d2f5c56a9505bd5c67aae00c026ba37de82c2c47bb27f48dffc3c10d639c02a7","schema_version":"1.0","event_id":"sha256:d2f5c56a9505bd5c67aae00c026ba37de82c2c47bb27f48dffc3c10d639c02a7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JP77CEJDUY5BHV4EMLZJ5WDQDC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The wave equation in the birth of spacetime symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.class-ph"],"primary_cat":"physics.hist-ph","authors_text":"Ricardo Heras","submitted_at":"2014-07-13T01:19:10Z","abstract_excerpt":"In 1887 Voigt published a paper dedicated to the Doppler effect in which he demanded form invariance to the wave equation in inertial frames and obtained a set of spacetime transformations now known as the Voigt transformations. In 1905 Poincar\\'e showed that the wave equation was also invariant under the Lorentz transformations. Voigt and Lorentz transformations are then closely related, but this relation is not widely known in the standard literature. In this paper we derive the Lorentz transformations from the invariance of the D'Alembert operator $\\big(\\Box^{2}=\\Box'^{2}\\big)$ and the Voig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3425","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":"2026-05-18T00:27:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6Mnqmhp1wXG6jN+VUB1VGfDnu8fpOB2oJTMyKWfg5DcxPapvM9y22jL3CpxxAAplX3ZWB8Tbiw434L7A08imDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T20:11:50.002203Z"},"content_sha256":"9b12ef8caebec8ec269415432d3c16b18c481668576537cf9d15de4f2bf87247","schema_version":"1.0","event_id":"sha256:9b12ef8caebec8ec269415432d3c16b18c481668576537cf9d15de4f2bf87247"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/bundle.json","state_url":"https://pith.science/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/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":"2026-06-05T20:11:50Z","links":{"resolver":"https://pith.science/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC","bundle":"https://pith.science/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/bundle.json","state":"https://pith.science/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JP77CEJDUY5BHV4EMLZJ5WDQDC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JP77CEJDUY5BHV4EMLZJ5WDQDC","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":"1fa98770b5911d786643d524335debd456cfff61431c593a036bc603332bce19","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-07-13T01:19:10Z","title_canon_sha256":"7e9f96c5f9dc9642410c89b839635bad62c9d5e67cc3f8c9b6297a44075cdba7"},"schema_version":"1.0","source":{"id":"1407.3425","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.3425","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"arxiv_version","alias_value":"1407.3425v2","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.3425","created_at":"2026-05-18T00:27:50Z"},{"alias_kind":"pith_short_12","alias_value":"JP77CEJDUY5B","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JP77CEJDUY5BHV4E","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JP77CEJD","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:9b12ef8caebec8ec269415432d3c16b18c481668576537cf9d15de4f2bf87247","target":"graph","created_at":"2026-05-18T00:27:50Z","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 1887 Voigt published a paper dedicated to the Doppler effect in which he demanded form invariance to the wave equation in inertial frames and obtained a set of spacetime transformations now known as the Voigt transformations. In 1905 Poincar\\'e showed that the wave equation was also invariant under the Lorentz transformations. Voigt and Lorentz transformations are then closely related, but this relation is not widely known in the standard literature. In this paper we derive the Lorentz transformations from the invariance of the D'Alembert operator $\\big(\\Box^{2}=\\Box'^{2}\\big)$ and the Voig","authors_text":"Ricardo Heras","cross_cats":["physics.class-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-07-13T01:19:10Z","title":"The wave equation in the birth of spacetime symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.3425","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:d2f5c56a9505bd5c67aae00c026ba37de82c2c47bb27f48dffc3c10d639c02a7","target":"record","created_at":"2026-05-18T00:27:50Z","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":"1fa98770b5911d786643d524335debd456cfff61431c593a036bc603332bce19","cross_cats_sorted":["physics.class-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2014-07-13T01:19:10Z","title_canon_sha256":"7e9f96c5f9dc9642410c89b839635bad62c9d5e67cc3f8c9b6297a44075cdba7"},"schema_version":"1.0","source":{"id":"1407.3425","kind":"arxiv","version":2}},"canonical_sha256":"4bfff11123a63a13d78462f29ed870188d7d218d31ac35012272f787247a29d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfff11123a63a13d78462f29ed870188d7d218d31ac35012272f787247a29d1","first_computed_at":"2026-05-18T00:27:50.479043Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:50.479043Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B8ItW2gkg82a2mtT+mdBR6Vn2dv7F47uLt0Yh+ch7H45jeIlw+lCUNWnM9LUjapxkknkDFpxOU+IT7HN3IYHAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:50.479503Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.3425","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2f5c56a9505bd5c67aae00c026ba37de82c2c47bb27f48dffc3c10d639c02a7","sha256:9b12ef8caebec8ec269415432d3c16b18c481668576537cf9d15de4f2bf87247"],"state_sha256":"f64b1c0f14482ae8ebb29020e693c953dc82ce03205b5f073dd62c577a091a06"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OAoTCaNTc7zBcVrUkttOiHcDqAHmjMXzGnn3vCJxf82TNfYTaEuc7ts0EhDjQmyBuCCVLU00y2kGYQWOasgjDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T20:11:50.006843Z","bundle_sha256":"68b6482f70023f94981826edaeedeaae117f0dd60ce98f657060e5a8c7788962"}}