{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:IQR3AZ5KNXQWJAHBVWPEI2VII4","short_pith_number":"pith:IQR3AZ5K","canonical_record":{"source":{"id":"physics/0207084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atm-clus","submitted_at":"2002-07-22T10:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"371e36c650e87b56751ab20d8eab22996ad128989276f6b8cffcd8d788bae7d3","abstract_canon_sha256":"01abcadc004cc76be189172d663d6e2b9ee3d3135981a0b70691be35c3d7af11"},"schema_version":"1.0"},"canonical_sha256":"4423b067aa6de16480e1ad9e446aa8473e723f9981c196a3d88fbfbefd0de555","source":{"kind":"arxiv","id":"physics/0207084","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0207084","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0207084v1","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0207084","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_12","alias_value":"IQR3AZ5KNXQW","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_16","alias_value":"IQR3AZ5KNXQWJAHB","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_8","alias_value":"IQR3AZ5K","created_at":"2026-07-04T14:43:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:IQR3AZ5KNXQWJAHBVWPEI2VII4","target":"record","payload":{"canonical_record":{"source":{"id":"physics/0207084","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.atm-clus","submitted_at":"2002-07-22T10:43:00Z","cross_cats_sorted":[],"title_canon_sha256":"371e36c650e87b56751ab20d8eab22996ad128989276f6b8cffcd8d788bae7d3","abstract_canon_sha256":"01abcadc004cc76be189172d663d6e2b9ee3d3135981a0b70691be35c3d7af11"},"schema_version":"1.0"},"canonical_sha256":"4423b067aa6de16480e1ad9e446aa8473e723f9981c196a3d88fbfbefd0de555","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:43:46.852324Z","signature_b64":"f+Niwr5ji+Gg/TTryNR4d4sggAYcaqrW+2xdEiWJqcDKSrROG4YoEBeQmNGmPU0+nwoO1XT3JsAHCWWlPVe3CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4423b067aa6de16480e1ad9e446aa8473e723f9981c196a3d88fbfbefd0de555","last_reissued_at":"2026-07-04T14:43:46.851972Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:43:46.851972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/0207084","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":"2026-07-04T14:43:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nacNT+Vpxj+I3UYJW/LgdeBeDWzr9XU/30jT7z0Osvl8dcwIqhOccZAjnsWtaT+WpVqfmxsuZKEqwrIwY6SCCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T09:20:51.139850Z"},"content_sha256":"d65ea33a32f13160c54afba25b6909ef0b28c17b65b5c51a2fc27a772d308d2b","schema_version":"1.0","event_id":"sha256:d65ea33a32f13160c54afba25b6909ef0b28c17b65b5c51a2fc27a772d308d2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:IQR3AZ5KNXQWJAHBVWPEI2VII4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cluster growing process and a sequence of magic numbers","license":"","headline":"","cross_cats":[],"primary_cat":"physics.atm-clus","authors_text":"A. Koshelev, A. Shutovich, A.V. Solov'yov, Il.A. Solov'yov, W. Greiner","submitted_at":"2002-07-22T10:43:00Z","abstract_excerpt":"We present a new theoretical framework for modelling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we find cluster growing paths up to the cluster sizes of more than 100 atoms. We demonstrate that in this way all known global minimum structures of the Lennard-Jonnes (LJ) clusters can be found. Our method provides an efficient tool for the calculation and analysis of atomic cluster structure. With its use we justify the magic numbers sequence for the clusters of noble gases atoms an"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0207084","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0207084/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:43:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feYG9bsTN2ByuB/NxlntL80ax5x8CrMJXcoSyzOTw6Xb4gOYHcGrBFL1kExR2SSoOj2tLpLqyQ13a3Z60f7tAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T09:20:51.140355Z"},"content_sha256":"9888aae22dc8ca1e4d616433646173e37d8b5b3d44532a7ba3bf8928dfc5cadd","schema_version":"1.0","event_id":"sha256:9888aae22dc8ca1e4d616433646173e37d8b5b3d44532a7ba3bf8928dfc5cadd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/bundle.json","state_url":"https://pith.science/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/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":"2026-08-19T09:20:51Z","links":{"resolver":"https://pith.science/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4","bundle":"https://pith.science/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/bundle.json","state":"https://pith.science/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IQR3AZ5KNXQWJAHBVWPEI2VII4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:IQR3AZ5KNXQWJAHBVWPEI2VII4","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":"01abcadc004cc76be189172d663d6e2b9ee3d3135981a0b70691be35c3d7af11","cross_cats_sorted":[],"license":"","primary_cat":"physics.atm-clus","submitted_at":"2002-07-22T10:43:00Z","title_canon_sha256":"371e36c650e87b56751ab20d8eab22996ad128989276f6b8cffcd8d788bae7d3"},"schema_version":"1.0","source":{"id":"physics/0207084","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/0207084","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"arxiv_version","alias_value":"physics/0207084v1","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0207084","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_12","alias_value":"IQR3AZ5KNXQW","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_16","alias_value":"IQR3AZ5KNXQWJAHB","created_at":"2026-07-04T14:43:46Z"},{"alias_kind":"pith_short_8","alias_value":"IQR3AZ5K","created_at":"2026-07-04T14:43:46Z"}],"graph_snapshots":[{"event_id":"sha256:9888aae22dc8ca1e4d616433646173e37d8b5b3d44532a7ba3bf8928dfc5cadd","target":"graph","created_at":"2026-07-04T14:43:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/physics/0207084/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new theoretical framework for modelling the cluster growing process. Starting from the initial tetrahedral cluster configuration, adding new atoms to the system and absorbing its energy at each step, we find cluster growing paths up to the cluster sizes of more than 100 atoms. We demonstrate that in this way all known global minimum structures of the Lennard-Jonnes (LJ) clusters can be found. Our method provides an efficient tool for the calculation and analysis of atomic cluster structure. With its use we justify the magic numbers sequence for the clusters of noble gases atoms an","authors_text":"A. Koshelev, A. Shutovich, A.V. Solov'yov, Il.A. Solov'yov, W. Greiner","cross_cats":[],"headline":"","license":"","primary_cat":"physics.atm-clus","submitted_at":"2002-07-22T10:43:00Z","title":"Cluster growing process and a sequence of magic numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0207084","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:d65ea33a32f13160c54afba25b6909ef0b28c17b65b5c51a2fc27a772d308d2b","target":"record","created_at":"2026-07-04T14:43:46Z","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":"01abcadc004cc76be189172d663d6e2b9ee3d3135981a0b70691be35c3d7af11","cross_cats_sorted":[],"license":"","primary_cat":"physics.atm-clus","submitted_at":"2002-07-22T10:43:00Z","title_canon_sha256":"371e36c650e87b56751ab20d8eab22996ad128989276f6b8cffcd8d788bae7d3"},"schema_version":"1.0","source":{"id":"physics/0207084","kind":"arxiv","version":1}},"canonical_sha256":"4423b067aa6de16480e1ad9e446aa8473e723f9981c196a3d88fbfbefd0de555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4423b067aa6de16480e1ad9e446aa8473e723f9981c196a3d88fbfbefd0de555","first_computed_at":"2026-07-04T14:43:46.851972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:43:46.851972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f+Niwr5ji+Gg/TTryNR4d4sggAYcaqrW+2xdEiWJqcDKSrROG4YoEBeQmNGmPU0+nwoO1XT3JsAHCWWlPVe3CA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:43:46.852324Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/0207084","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d65ea33a32f13160c54afba25b6909ef0b28c17b65b5c51a2fc27a772d308d2b","sha256:9888aae22dc8ca1e4d616433646173e37d8b5b3d44532a7ba3bf8928dfc5cadd"],"state_sha256":"ad816e847bbe75cb169056c4b507fbff377c1b7d14c0fd94f1d5bcc74a65a6c5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VebNUphFchFrJWEoIgW39aDoLWgkdaz1G/rNCvl7SyBADuox5E6rdShxi1zdKg1i5LoEuPHvlmFW0Qd/63rvDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T09:20:51.144303Z","bundle_sha256":"1d7ad698598a71ed75b4da2e1a2c1b6079b76613a7a6157a1aa206b7a0fdfddb"}}