{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:A6FVVUW7YEBAQPJXX7J2EJBEF3","short_pith_number":"pith:A6FVVUW7","canonical_record":{"source":{"id":"1506.07514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-24T19:56:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c550caae60f49e7d770514c9c3514a6d7a9316d7bbc0b0a1c969888124b08f00","abstract_canon_sha256":"fbf1527772725c6635cc5243d0cfff628580ac8ad71b33de4772faa4272410b0"},"schema_version":"1.0"},"canonical_sha256":"078b5ad2dfc102083d37bfd3a224242ec5f55de838f7bb5ddd76140babf77e8b","source":{"kind":"arxiv","id":"1506.07514","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07514","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07514v1","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07514","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"A6FVVUW7YEBA","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"A6FVVUW7YEBAQPJX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"A6FVVUW7","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:A6FVVUW7YEBAQPJXX7J2EJBEF3","target":"record","payload":{"canonical_record":{"source":{"id":"1506.07514","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-24T19:56:44Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c550caae60f49e7d770514c9c3514a6d7a9316d7bbc0b0a1c969888124b08f00","abstract_canon_sha256":"fbf1527772725c6635cc5243d0cfff628580ac8ad71b33de4772faa4272410b0"},"schema_version":"1.0"},"canonical_sha256":"078b5ad2dfc102083d37bfd3a224242ec5f55de838f7bb5ddd76140babf77e8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:53.847588Z","signature_b64":"4LZC8vm0g1vdzKXqCe2WhXFmW1hRvbg9kEXgtLG1+fHphFuK/AzOWMaH4+0w1JjGkv2llNX3xltV7tn9e+9GDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"078b5ad2dfc102083d37bfd3a224242ec5f55de838f7bb5ddd76140babf77e8b","last_reissued_at":"2026-05-18T01:39:53.847055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:53.847055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1506.07514","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":"2026-05-18T01:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ksliJtxluAU1+bnuVBHEcN9nWlS//lth2XZNYO5et9FurpYMEuLfUyiASo6PEEyedF66nVxjOMrDAB9YmR7IBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:28:44.435930Z"},"content_sha256":"1f4dc01fbafd3bd75a4557ad258f55a5f43cbd04e1b1c3ba3e90150de851de30","schema_version":"1.0","event_id":"sha256:1f4dc01fbafd3bd75a4557ad258f55a5f43cbd04e1b1c3ba3e90150de851de30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:A6FVVUW7YEBAQPJXX7J2EJBEF3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Translation invariant models in QFT without ultraviolet cutoffs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Fumio Hiroshima","submitted_at":"2015-06-24T19:56:44Z","abstract_excerpt":"The translation invariant model in quantum field theory is considered by functional integrations. Ultraviolet renormalization of the translation invariant Nelson model with a fixed total momentum is proven by functional integrations. As a corollary it can be shown that the Nelson Hamiltonian with zero total momentum has a ground state for arbitrary values of coupling constants in two dimension. Furthermore the ultraviolet renormalization of the polaron model is also studied."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07514","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":"2026-05-18T01:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hSSp/PTggwAOzUuadHWQJ59rmyHN2MqAU9T2l86ASI4FHK2GEDSkX64F+w2SRs8TFNVY2UjOojib+V116rNWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-20T06:28:44.436404Z"},"content_sha256":"f00a0faca613d5c66d3b2144e2680f944e2a6da96b7cde42f537eca5d3541903","schema_version":"1.0","event_id":"sha256:f00a0faca613d5c66d3b2144e2680f944e2a6da96b7cde42f537eca5d3541903"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/bundle.json","state_url":"https://pith.science/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/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":"2026-08-20T06:28:44Z","links":{"resolver":"https://pith.science/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3","bundle":"https://pith.science/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/bundle.json","state":"https://pith.science/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A6FVVUW7YEBAQPJXX7J2EJBEF3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:A6FVVUW7YEBAQPJXX7J2EJBEF3","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":"fbf1527772725c6635cc5243d0cfff628580ac8ad71b33de4772faa4272410b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-24T19:56:44Z","title_canon_sha256":"c550caae60f49e7d770514c9c3514a6d7a9316d7bbc0b0a1c969888124b08f00"},"schema_version":"1.0","source":{"id":"1506.07514","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.07514","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"1506.07514v1","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07514","created_at":"2026-05-18T01:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"A6FVVUW7YEBA","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"A6FVVUW7YEBAQPJX","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"A6FVVUW7","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:f00a0faca613d5c66d3b2144e2680f944e2a6da96b7cde42f537eca5d3541903","target":"graph","created_at":"2026-05-18T01:39:53Z","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 translation invariant model in quantum field theory is considered by functional integrations. Ultraviolet renormalization of the translation invariant Nelson model with a fixed total momentum is proven by functional integrations. As a corollary it can be shown that the Nelson Hamiltonian with zero total momentum has a ground state for arbitrary values of coupling constants in two dimension. Furthermore the ultraviolet renormalization of the polaron model is also studied.","authors_text":"Fumio Hiroshima","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-24T19:56:44Z","title":"Translation invariant models in QFT without ultraviolet cutoffs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07514","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":"sha256:1f4dc01fbafd3bd75a4557ad258f55a5f43cbd04e1b1c3ba3e90150de851de30","target":"record","created_at":"2026-05-18T01:39:53Z","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":"fbf1527772725c6635cc5243d0cfff628580ac8ad71b33de4772faa4272410b0","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-24T19:56:44Z","title_canon_sha256":"c550caae60f49e7d770514c9c3514a6d7a9316d7bbc0b0a1c969888124b08f00"},"schema_version":"1.0","source":{"id":"1506.07514","kind":"arxiv","version":1}},"canonical_sha256":"078b5ad2dfc102083d37bfd3a224242ec5f55de838f7bb5ddd76140babf77e8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"078b5ad2dfc102083d37bfd3a224242ec5f55de838f7bb5ddd76140babf77e8b","first_computed_at":"2026-05-18T01:39:53.847055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:53.847055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4LZC8vm0g1vdzKXqCe2WhXFmW1hRvbg9kEXgtLG1+fHphFuK/AzOWMaH4+0w1JjGkv2llNX3xltV7tn9e+9GDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:53.847588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.07514","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f4dc01fbafd3bd75a4557ad258f55a5f43cbd04e1b1c3ba3e90150de851de30","sha256:f00a0faca613d5c66d3b2144e2680f944e2a6da96b7cde42f537eca5d3541903"],"state_sha256":"c434192216cdd1ba80abadf6fbd7a155bf50ec1afac784e52fd707a447dc60eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XjxJtOvoyymyPbO2QsvCk4Zf7gkxXMhmjvETp1zpotl4fLJBv6M76vJl4+ZE+cMUkiFYen7YzNo+ZQ8aQ2DQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-20T06:28:44.440792Z","bundle_sha256":"c1968d58e8fa299ac28f6d306d31f13524753cd985390e28d5e2588f228ab46f"}}