{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NG5JRMQYU63MZQO7DBZUGACTEZ","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":"9b8b5530eea27c80966abc5bf50fd6564433e7487cd85c8a5204eae2d306d1d7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-13T05:09:54Z","title_canon_sha256":"3ae5f8ae00335e40ea79430011d65295b80ef28732c223764710c4c90cb2121d"},"schema_version":"1.0","source":{"id":"1202.2629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.2629","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"arxiv_version","alias_value":"1202.2629v2","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.2629","created_at":"2026-05-18T02:03:53Z"},{"alias_kind":"pith_short_12","alias_value":"NG5JRMQYU63M","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NG5JRMQYU63MZQO7","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NG5JRMQY","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:dc8047bc7cb9973fddf2044784d254a7550da328b01aa5cc59104c91103651ee","target":"graph","created_at":"2026-05-18T02:03:53Z","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":"An enhanced binding of $N$-{\\it relativistic} particles coupled to a massless scalar bose field is investigated. It is not assumed that the system has a ground state for the zero-coupling. It is shown, however, that there exists a ground state for sufficiently large coupling. The proof is based on checking the stability condition and showing a uniform exponential decay of infrared regularized ground states.","authors_text":"Fumio Hiroshima, Itaru Sasaki","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-13T05:09:54Z","title":"Enhanced binding of an N-particle system interacting with a scalar field II.Relativistic version"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.2629","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":"sha256:4960ffc801cffa193f9ee7335eb278f0b598c2a53cc69530258a9936cd6bb577","target":"record","created_at":"2026-05-18T02:03:53Z","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":"9b8b5530eea27c80966abc5bf50fd6564433e7487cd85c8a5204eae2d306d1d7","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-02-13T05:09:54Z","title_canon_sha256":"3ae5f8ae00335e40ea79430011d65295b80ef28732c223764710c4c90cb2121d"},"schema_version":"1.0","source":{"id":"1202.2629","kind":"arxiv","version":2}},"canonical_sha256":"69ba98b218a7b6ccc1df1873430053267e0c3b92e9bdca48eeec58e00d8e9db0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69ba98b218a7b6ccc1df1873430053267e0c3b92e9bdca48eeec58e00d8e9db0","first_computed_at":"2026-05-18T02:03:53.131849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:53.131849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"df324tgXfyXEYf/Jsw/r3mCZrBP/ACGn5J3N2ejCohYp+9Dj7/pBpKk23q2HQI19APJgAtTMLQHTDVnDPeXgAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:53.132634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.2629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4960ffc801cffa193f9ee7335eb278f0b598c2a53cc69530258a9936cd6bb577","sha256:dc8047bc7cb9973fddf2044784d254a7550da328b01aa5cc59104c91103651ee"],"state_sha256":"c683d170b34a88b0758d6aa4eab6630abdcfeadf58eedb8f0e27644f691cdca3"}