{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:TRRO6AL7YFAT443BP7OCFPB65N","short_pith_number":"pith:TRRO6AL7","canonical_record":{"source":{"id":"1302.2829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T15:50:26Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"39c57fe347dd73c9edad3fbadd1cef5d7afdbb2b9e4340c18134aa44f67903c1","abstract_canon_sha256":"568c6db7ab948258293b4a0af5d9e61731d407777a6c3d5aa64facc72e46f496"},"schema_version":"1.0"},"canonical_sha256":"9c62ef017fc1413e73617fdc22bc3eeb63bae750a0f828993d98c57e587d523e","source":{"kind":"arxiv","id":"1302.2829","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2829","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2829v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2829","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"TRRO6AL7YFAT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TRRO6AL7YFAT443B","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TRRO6AL7","created_at":"2026-05-18T12:28:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:TRRO6AL7YFAT443BP7OCFPB65N","target":"record","payload":{"canonical_record":{"source":{"id":"1302.2829","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T15:50:26Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"39c57fe347dd73c9edad3fbadd1cef5d7afdbb2b9e4340c18134aa44f67903c1","abstract_canon_sha256":"568c6db7ab948258293b4a0af5d9e61731d407777a6c3d5aa64facc72e46f496"},"schema_version":"1.0"},"canonical_sha256":"9c62ef017fc1413e73617fdc22bc3eeb63bae750a0f828993d98c57e587d523e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:33:50.693178Z","signature_b64":"d6ql+D/wGqzuA2HjML5szzvrgVoKcvHiX4gmpFp9aJG2JsDAwu0VTfWM3U28c8oNV30gC9mCZbdRlD09NJHNDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c62ef017fc1413e73617fdc22bc3eeb63bae750a0f828993d98c57e587d523e","last_reissued_at":"2026-05-18T03:33:50.692497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:33:50.692497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1302.2829","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":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ksnfLKeV2slU2UdZuRlvyynG4LIZFtfybbaqzRsKu2AYfGpPBcB7ghmYytWHA0Lw0sm8XdK8i6V15nbFouePBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:51:36.420150Z"},"content_sha256":"41f1637b04ea59593df84df8dd56328a10e14ac6379b6e1d8cfcf6d7f9918f7a","schema_version":"1.0","event_id":"sha256:41f1637b04ea59593df84df8dd56328a10e14ac6379b6e1d8cfcf6d7f9918f7a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:TRRO6AL7YFAT443BP7OCFPB65N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Alessandro Pizzo, Miguel Ballesteros, Volker Bach","submitted_at":"2013-02-12T15:50:26Z","abstract_excerpt":"For a nonrelativistic atom, which is minimally coupled to the quantized radiation field, resonances emerging from excited atomic eigenstates are constructed by an iteration scheme inspired by \\cite{Pizzo2003} and \\cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cut off in momentum space and yields a convergent algorithm enabling us to calculate the resonance eigenvalues and eigenstates, to arbitrary order in the feinstructure constant $\\alpha \\sim 1/137$, and is thus an alternative method of proof of a similar result obtained in \\cite{Sigal2010}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2829","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":"2026-05-18T03:33:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eh4qeqquoMxd1OSZispcubSVmjyGpiN9MTwwY2O78+1It5V3+OZG4jY5WmGl7X/7LIIGfwAqiWWVFNdjbLs3Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T08:51:36.420519Z"},"content_sha256":"fff31d91c88eac6f155e393918b6db33d62189910aff90aa8e3fad39be51ec01","schema_version":"1.0","event_id":"sha256:fff31d91c88eac6f155e393918b6db33d62189910aff90aa8e3fad39be51ec01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRRO6AL7YFAT443BP7OCFPB65N/bundle.json","state_url":"https://pith.science/pith/TRRO6AL7YFAT443BP7OCFPB65N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRRO6AL7YFAT443BP7OCFPB65N/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":"2026-06-03T08:51:36Z","links":{"resolver":"https://pith.science/pith/TRRO6AL7YFAT443BP7OCFPB65N","bundle":"https://pith.science/pith/TRRO6AL7YFAT443BP7OCFPB65N/bundle.json","state":"https://pith.science/pith/TRRO6AL7YFAT443BP7OCFPB65N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRRO6AL7YFAT443BP7OCFPB65N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TRRO6AL7YFAT443BP7OCFPB65N","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":"568c6db7ab948258293b4a0af5d9e61731d407777a6c3d5aa64facc72e46f496","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T15:50:26Z","title_canon_sha256":"39c57fe347dd73c9edad3fbadd1cef5d7afdbb2b9e4340c18134aa44f67903c1"},"schema_version":"1.0","source":{"id":"1302.2829","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.2829","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"arxiv_version","alias_value":"1302.2829v1","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.2829","created_at":"2026-05-18T03:33:50Z"},{"alias_kind":"pith_short_12","alias_value":"TRRO6AL7YFAT","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TRRO6AL7YFAT443B","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TRRO6AL7","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:fff31d91c88eac6f155e393918b6db33d62189910aff90aa8e3fad39be51ec01","target":"graph","created_at":"2026-05-18T03:33:50Z","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":"For a nonrelativistic atom, which is minimally coupled to the quantized radiation field, resonances emerging from excited atomic eigenstates are constructed by an iteration scheme inspired by \\cite{Pizzo2003} and \\cite{BachFrohlichPizzo2006}. This scheme successively removes an infrared cut off in momentum space and yields a convergent algorithm enabling us to calculate the resonance eigenvalues and eigenstates, to arbitrary order in the feinstructure constant $\\alpha \\sim 1/137$, and is thus an alternative method of proof of a similar result obtained in \\cite{Sigal2010}.","authors_text":"Alessandro Pizzo, Miguel Ballesteros, Volker Bach","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T15:50:26Z","title":"Existence and Construction of Resonances for Atoms Coupled to the Quantized Radiation Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.2829","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":"sha256:41f1637b04ea59593df84df8dd56328a10e14ac6379b6e1d8cfcf6d7f9918f7a","target":"record","created_at":"2026-05-18T03:33:50Z","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":"568c6db7ab948258293b4a0af5d9e61731d407777a6c3d5aa64facc72e46f496","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-02-12T15:50:26Z","title_canon_sha256":"39c57fe347dd73c9edad3fbadd1cef5d7afdbb2b9e4340c18134aa44f67903c1"},"schema_version":"1.0","source":{"id":"1302.2829","kind":"arxiv","version":1}},"canonical_sha256":"9c62ef017fc1413e73617fdc22bc3eeb63bae750a0f828993d98c57e587d523e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c62ef017fc1413e73617fdc22bc3eeb63bae750a0f828993d98c57e587d523e","first_computed_at":"2026-05-18T03:33:50.692497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:33:50.692497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d6ql+D/wGqzuA2HjML5szzvrgVoKcvHiX4gmpFp9aJG2JsDAwu0VTfWM3U28c8oNV30gC9mCZbdRlD09NJHNDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:33:50.693178Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.2829","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41f1637b04ea59593df84df8dd56328a10e14ac6379b6e1d8cfcf6d7f9918f7a","sha256:fff31d91c88eac6f155e393918b6db33d62189910aff90aa8e3fad39be51ec01"],"state_sha256":"13acf363fc57492642b643a3ae8e2ae2f3e59771718eff0acf42013a6963a60b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G1x9Z1rTEyW/Gh17wHLfDBux47Qcn/SzyOibGbZ1+fSytp2smmfR0vwUD7wPfwUPsp0LWrJsU1+2+ZlmNqniAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T08:51:36.423071Z","bundle_sha256":"fab25a90f2e8f6c2f1b25c754eaf7a1a9bcf411a5bd9b6b11e9ed2e1ad8d48b5"}}