{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:AAPS565J56EH6UIBOY47LEJDRE","short_pith_number":"pith:AAPS565J","canonical_record":{"source":{"id":"hep-th/9605148","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-05-21T16:28:03Z","cross_cats_sorted":[],"title_canon_sha256":"b353a57930cb84e56f7f37d431c9ba6ee4457781754d0054b0cc4fbaab1ae679","abstract_canon_sha256":"7f8ef11c5cfeb6b8e33054152a8725e3624e48b16609214f64780c3e8fa82487"},"schema_version":"1.0"},"canonical_sha256":"001f2efba9ef887f51017639f5912389105735990caa8e1783ed84c6290bc0d1","source":{"kind":"arxiv","id":"hep-th/9605148","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9605148","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9605148v1","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9605148","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"AAPS565J56EH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"AAPS565J56EH6UIB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"AAPS565J","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:AAPS565J56EH6UIBOY47LEJDRE","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9605148","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1996-05-21T16:28:03Z","cross_cats_sorted":[],"title_canon_sha256":"b353a57930cb84e56f7f37d431c9ba6ee4457781754d0054b0cc4fbaab1ae679","abstract_canon_sha256":"7f8ef11c5cfeb6b8e33054152a8725e3624e48b16609214f64780c3e8fa82487"},"schema_version":"1.0"},"canonical_sha256":"001f2efba9ef887f51017639f5912389105735990caa8e1783ed84c6290bc0d1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:16.546774Z","signature_b64":"JflKVZZSdgZswi2YBZIrLDfRHaPy974fNjdmnZDEzhbq0ppz+qkmltGb00e8dZS2Rqfm8Sc/Fejm0xYmq+kzCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"001f2efba9ef887f51017639f5912389105735990caa8e1783ed84c6290bc0d1","last_reissued_at":"2026-05-18T04:35:16.546267Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:16.546267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9605148","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":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NK6BXS+y9+UIybRrm7ydqSL1FSVIF2sht3JQfBVpXYNkVewbJeCRjmMP3juku4bz0y+HH9bVaiSm33irebJ6Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:15:26.155891Z"},"content_sha256":"8d7ff37b8841b0465dd5c5f528e3d7b004a855c9d9ce5113c2839fac4c3e13b4","schema_version":"1.0","event_id":"sha256:8d7ff37b8841b0465dd5c5f528e3d7b004a855c9d9ce5113c2839fac4c3e13b4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:AAPS565J56EH6UIBOY47LEJDRE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Construction of a Complete Set of States in Relativistic Scattering Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. P. Horwitz, Oskar Pelc","submitted_at":"1996-05-21T16:28:03Z","abstract_excerpt":"The space of physical states in relativistic scattering theory is constructed, using a rigorous version of the Dirac formalism, where the Hilbert space structure is extended to a Gel'fand triple. This extension enables the construction of ``a complete set of states'', the basic concept of the original Dirac formalism, also in the cases of unbounded operators and continuous spectra. We construct explicitly the Gel'fand triple and a complete set of ``plane waves'' -- momentum eigenstates -- using the group of space-time symmetries. This construction is used (in a separate article) to prove a gen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9605148","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":"2026-05-18T04:35:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cLttqt3o5EKxTJneH7HCXDZx9zuEO5jO76ZS0rw5CEgPuRr4BQ3MhKgyn4tE/5p5lSDZUbUCfnlA7OpFyPwzCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T07:15:26.156255Z"},"content_sha256":"98fe335a08d941d87b19fc0590ac7b412dbb961679cb4765f0acad1dd97f4102","schema_version":"1.0","event_id":"sha256:98fe335a08d941d87b19fc0590ac7b412dbb961679cb4765f0acad1dd97f4102"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AAPS565J56EH6UIBOY47LEJDRE/bundle.json","state_url":"https://pith.science/pith/AAPS565J56EH6UIBOY47LEJDRE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AAPS565J56EH6UIBOY47LEJDRE/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":"2026-07-01T07:15:26Z","links":{"resolver":"https://pith.science/pith/AAPS565J56EH6UIBOY47LEJDRE","bundle":"https://pith.science/pith/AAPS565J56EH6UIBOY47LEJDRE/bundle.json","state":"https://pith.science/pith/AAPS565J56EH6UIBOY47LEJDRE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AAPS565J56EH6UIBOY47LEJDRE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:AAPS565J56EH6UIBOY47LEJDRE","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":"7f8ef11c5cfeb6b8e33054152a8725e3624e48b16609214f64780c3e8fa82487","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-05-21T16:28:03Z","title_canon_sha256":"b353a57930cb84e56f7f37d431c9ba6ee4457781754d0054b0cc4fbaab1ae679"},"schema_version":"1.0","source":{"id":"hep-th/9605148","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9605148","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9605148v1","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9605148","created_at":"2026-05-18T04:35:16Z"},{"alias_kind":"pith_short_12","alias_value":"AAPS565J56EH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"AAPS565J56EH6UIB","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"AAPS565J","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:98fe335a08d941d87b19fc0590ac7b412dbb961679cb4765f0acad1dd97f4102","target":"graph","created_at":"2026-05-18T04:35:16Z","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":"The space of physical states in relativistic scattering theory is constructed, using a rigorous version of the Dirac formalism, where the Hilbert space structure is extended to a Gel'fand triple. This extension enables the construction of ``a complete set of states'', the basic concept of the original Dirac formalism, also in the cases of unbounded operators and continuous spectra. We construct explicitly the Gel'fand triple and a complete set of ``plane waves'' -- momentum eigenstates -- using the group of space-time symmetries. This construction is used (in a separate article) to prove a gen","authors_text":"L. P. Horwitz, Oskar Pelc","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1996-05-21T16:28:03Z","title":"Construction of a Complete Set of States in Relativistic Scattering Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9605148","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":"sha256:8d7ff37b8841b0465dd5c5f528e3d7b004a855c9d9ce5113c2839fac4c3e13b4","target":"record","created_at":"2026-05-18T04:35:16Z","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":"7f8ef11c5cfeb6b8e33054152a8725e3624e48b16609214f64780c3e8fa82487","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1996-05-21T16:28:03Z","title_canon_sha256":"b353a57930cb84e56f7f37d431c9ba6ee4457781754d0054b0cc4fbaab1ae679"},"schema_version":"1.0","source":{"id":"hep-th/9605148","kind":"arxiv","version":1}},"canonical_sha256":"001f2efba9ef887f51017639f5912389105735990caa8e1783ed84c6290bc0d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"001f2efba9ef887f51017639f5912389105735990caa8e1783ed84c6290bc0d1","first_computed_at":"2026-05-18T04:35:16.546267Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:16.546267Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JflKVZZSdgZswi2YBZIrLDfRHaPy974fNjdmnZDEzhbq0ppz+qkmltGb00e8dZS2Rqfm8Sc/Fejm0xYmq+kzCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:16.546774Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9605148","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d7ff37b8841b0465dd5c5f528e3d7b004a855c9d9ce5113c2839fac4c3e13b4","sha256:98fe335a08d941d87b19fc0590ac7b412dbb961679cb4765f0acad1dd97f4102"],"state_sha256":"ecf1e202bd804c7135cf01fa84bbd56134664bed34c48c2c5fd69d74610fd53b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bZex8NSnTZycjYluYefOaGN2qNetnY3QyPGE3BQcSkT1xByI8hAcoxGj5Rgst5PJ7i7Gj4uQH10Qa+fKzeL2AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T07:15:26.158655Z","bundle_sha256":"e174b432b7ce7738b478fbc7d4f3d007ca7e21421ded15002c78a89bba9faeac"}}