{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:X355MT7NEK4WVO4RA6VBZNKEGM","short_pith_number":"pith:X355MT7N","schema_version":"1.0","canonical_sha256":"befbd64fed22b96abb9107aa1cb544333e17c2f1fce98ddb34e9de6cb77a9aa9","source":{"kind":"arxiv","id":"1612.04193","version":1},"attestation_state":"computed","paper":{"title":"Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Asher Yahalom, Lawrence Horwitz, Michael Suleymanov","submitted_at":"2016-12-06T15:42:06Z","abstract_excerpt":"A relativistic 4D string is described in the framework of the covariant quantum theory first introduced by Stueckelberg (1941) [1], and further developed by Horwitz and Piron (1973) [2], and discussed at length in the book of Horwitz (2015) [3]. We describe the space-time string using the solutions of relativistic harmonic oscillator [4]. We first study the problem of the discrete string, both classically and quantum mechanically, and then turn to a study of the continuum limit, which contains a basically new formalism for the quantization of an extended system. The mass and energy spectrum ar"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1612.04193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2016-12-06T15:42:06Z","cross_cats_sorted":[],"title_canon_sha256":"363c81c880e6d25aa6df9fc5a4b27569c75f8533bb58b047d1bf1f0eeb0502e8","abstract_canon_sha256":"7b3e729c652be572d1e6600cd167debc58c0bde8a514ae75bef3999b99350559"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:55:05.184036Z","signature_b64":"YFqgucU2Q586H2AcNu3RACXO5KgQajjWufD3aODt/+tFMUjWejhYRznBwmkFjCt0SzkaeIADT99wEf47P1ZPDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"befbd64fed22b96abb9107aa1cb544333e17c2f1fce98ddb34e9de6cb77a9aa9","last_reissued_at":"2026-05-18T00:55:05.183487Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:55:05.183487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Second quantization of a covariant relativistic spacetime string in Steuckelberg-Horwitz-Piron theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Asher Yahalom, Lawrence Horwitz, Michael Suleymanov","submitted_at":"2016-12-06T15:42:06Z","abstract_excerpt":"A relativistic 4D string is described in the framework of the covariant quantum theory first introduced by Stueckelberg (1941) [1], and further developed by Horwitz and Piron (1973) [2], and discussed at length in the book of Horwitz (2015) [3]. We describe the space-time string using the solutions of relativistic harmonic oscillator [4]. We first study the problem of the discrete string, both classically and quantum mechanically, and then turn to a study of the continuum limit, which contains a basically new formalism for the quantization of an extended system. The mass and energy spectrum ar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.04193","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1612.04193","created_at":"2026-05-18T00:55:05.183579+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.04193v1","created_at":"2026-05-18T00:55:05.183579+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.04193","created_at":"2026-05-18T00:55:05.183579+00:00"},{"alias_kind":"pith_short_12","alias_value":"X355MT7NEK4W","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_16","alias_value":"X355MT7NEK4WVO4R","created_at":"2026-05-18T12:30:51.357362+00:00"},{"alias_kind":"pith_short_8","alias_value":"X355MT7N","created_at":"2026-05-18T12:30:51.357362+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM","json":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM.json","graph_json":"https://pith.science/api/pith-number/X355MT7NEK4WVO4RA6VBZNKEGM/graph.json","events_json":"https://pith.science/api/pith-number/X355MT7NEK4WVO4RA6VBZNKEGM/events.json","paper":"https://pith.science/paper/X355MT7N"},"agent_actions":{"view_html":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM","download_json":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM.json","view_paper":"https://pith.science/paper/X355MT7N","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.04193&json=true","fetch_graph":"https://pith.science/api/pith-number/X355MT7NEK4WVO4RA6VBZNKEGM/graph.json","fetch_events":"https://pith.science/api/pith-number/X355MT7NEK4WVO4RA6VBZNKEGM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM/action/storage_attestation","attest_author":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM/action/author_attestation","sign_citation":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM/action/citation_signature","submit_replication":"https://pith.science/pith/X355MT7NEK4WVO4RA6VBZNKEGM/action/replication_record"}},"created_at":"2026-05-18T00:55:05.183579+00:00","updated_at":"2026-05-18T00:55:05.183579+00:00"}