{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ORMRANPXMHGPFLT7GCPNZCQHVE","short_pith_number":"pith:ORMRANPX","canonical_record":{"source":{"id":"1611.09088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T11:54:21Z","cross_cats_sorted":[],"title_canon_sha256":"5554167b651bbffb0fc22f1864c1dc5b5937ce388d24b98e2760bb601b9b74a0","abstract_canon_sha256":"0d17337d3aafac40102772ffa2d38759e259f4480c6ff99000341009e00204e8"},"schema_version":"1.0"},"canonical_sha256":"74591035f761ccf2ae7f309edc8a07a919daf77e55dfc25fe3200e29ae7cd3c5","source":{"kind":"arxiv","id":"1611.09088","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09088","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09088v1","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09088","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"ORMRANPXMHGP","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"ORMRANPXMHGPFLT7","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"ORMRANPX","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ORMRANPXMHGPFLT7GCPNZCQHVE","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09088","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T11:54:21Z","cross_cats_sorted":[],"title_canon_sha256":"5554167b651bbffb0fc22f1864c1dc5b5937ce388d24b98e2760bb601b9b74a0","abstract_canon_sha256":"0d17337d3aafac40102772ffa2d38759e259f4480c6ff99000341009e00204e8"},"schema_version":"1.0"},"canonical_sha256":"74591035f761ccf2ae7f309edc8a07a919daf77e55dfc25fe3200e29ae7cd3c5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:14.980148Z","signature_b64":"lsufIDbXg10jCrm4dF/TT6MprMW9ySzSO7kD+6t/A/cF+C51dL+3hco2Xgm5CKf6y/HZ40wsXtNO0GuGfSLxDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"74591035f761ccf2ae7f309edc8a07a919daf77e55dfc25fe3200e29ae7cd3c5","last_reissued_at":"2026-05-18T00:45:14.979506Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:14.979506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09088","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":"2026-05-18T00:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WG99YimksNyR4uB/cFgR2wipI6Eum62MEKTC1EP8blpsuX3G3j9CfLbDdSzVxTm3Zs6H7kYux01UwAGd/QxpCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:06:58.546085Z"},"content_sha256":"e7327bf71d245065dca315c63755f99f2b50d09cb5e334160df689bab7a0dfc5","schema_version":"1.0","event_id":"sha256:e7327bf71d245065dca315c63755f99f2b50d09cb5e334160df689bab7a0dfc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ORMRANPXMHGPFLT7GCPNZCQHVE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Extrapolation of scattering data to the negative-energy region","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nucl-th","authors_text":"A. M. Mukhamedzhanov, A. S. Kadyrov, D. A. Savin, L. D. Blokhintsev","submitted_at":"2016-11-28T11:54:21Z","abstract_excerpt":"Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09088","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":"2026-05-18T00:45:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hEXXsJW7Yo/HrhpB7XvRPzdHuz1FI98lFyPXcPJIJE3YwO+iLtIsMggkUASZKKyyrnITG7j8Yv2XvGr6GOhBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T22:06:58.546773Z"},"content_sha256":"414413840af3e6731fab0a32f7edff4b77f5149de1f0443d6d3b9c9489c3f6f9","schema_version":"1.0","event_id":"sha256:414413840af3e6731fab0a32f7edff4b77f5149de1f0443d6d3b9c9489c3f6f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/bundle.json","state_url":"https://pith.science/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/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":"2026-06-11T22:06:58Z","links":{"resolver":"https://pith.science/pith/ORMRANPXMHGPFLT7GCPNZCQHVE","bundle":"https://pith.science/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/bundle.json","state":"https://pith.science/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ORMRANPXMHGPFLT7GCPNZCQHVE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ORMRANPXMHGPFLT7GCPNZCQHVE","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":"0d17337d3aafac40102772ffa2d38759e259f4480c6ff99000341009e00204e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T11:54:21Z","title_canon_sha256":"5554167b651bbffb0fc22f1864c1dc5b5937ce388d24b98e2760bb601b9b74a0"},"schema_version":"1.0","source":{"id":"1611.09088","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09088","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09088v1","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09088","created_at":"2026-05-18T00:45:14Z"},{"alias_kind":"pith_short_12","alias_value":"ORMRANPXMHGP","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"ORMRANPXMHGPFLT7","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"ORMRANPX","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:414413840af3e6731fab0a32f7edff4b77f5149de1f0443d6d3b9c9489c3f6f9","target":"graph","created_at":"2026-05-18T00:45:14Z","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":"Explicit analytic expressions are derived for the effective-range function for the case when the interaction is represented by a sum of the short-range square-well and long-range Coulomb potentials. These expressions are then transformed into forms convenient for extrapolating to the negative-energy region and obtaining the information about bound-state properties. Alternative ways of extrapolation are discussed. Analytic properties of separate terms entering these expressions for the effective-range function and the partial-wave scattering amplitude are investigated.","authors_text":"A. M. Mukhamedzhanov, A. S. Kadyrov, D. A. Savin, L. D. Blokhintsev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T11:54:21Z","title":"Extrapolation of scattering data to the negative-energy region"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09088","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:e7327bf71d245065dca315c63755f99f2b50d09cb5e334160df689bab7a0dfc5","target":"record","created_at":"2026-05-18T00:45:14Z","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":"0d17337d3aafac40102772ffa2d38759e259f4480c6ff99000341009e00204e8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T11:54:21Z","title_canon_sha256":"5554167b651bbffb0fc22f1864c1dc5b5937ce388d24b98e2760bb601b9b74a0"},"schema_version":"1.0","source":{"id":"1611.09088","kind":"arxiv","version":1}},"canonical_sha256":"74591035f761ccf2ae7f309edc8a07a919daf77e55dfc25fe3200e29ae7cd3c5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"74591035f761ccf2ae7f309edc8a07a919daf77e55dfc25fe3200e29ae7cd3c5","first_computed_at":"2026-05-18T00:45:14.979506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:45:14.979506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lsufIDbXg10jCrm4dF/TT6MprMW9ySzSO7kD+6t/A/cF+C51dL+3hco2Xgm5CKf6y/HZ40wsXtNO0GuGfSLxDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:45:14.980148Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09088","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7327bf71d245065dca315c63755f99f2b50d09cb5e334160df689bab7a0dfc5","sha256:414413840af3e6731fab0a32f7edff4b77f5149de1f0443d6d3b9c9489c3f6f9"],"state_sha256":"1224a370599696c01e00408e9dee22f59bad7026a52a1f8fe434345f4eadc7b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rqqhyCXCRR4aUhp3Te9R0F1hMV0MMiQ5M9oEvwe4lVtblEx34cHF3bkBA17NyiSdiUI11/X2W7zt+gymOhyeBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T22:06:58.550265Z","bundle_sha256":"7f2a03deca4d77cd0bd0d454f21579aac7487f510e13df339c0c9d64d7e8d8dd"}}