{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3O3FRMWGXAIYK57QNMG5J76EJV","short_pith_number":"pith:3O3FRMWG","canonical_record":{"source":{"id":"1611.09061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T10:53:23Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"e5fa7874e174c6d420f457e38e0ade610db4d0343112358cee330fb3a7943bcb","abstract_canon_sha256":"3b47b80e5b7cd158dd5bd6cf825580cd47bdd27ba30735ccf833ddf63c32dfa8"},"schema_version":"1.0"},"canonical_sha256":"dbb658b2c6b8118577f06b0dd4ffc44d5f29ddc9affd7a12440675110cb1f34f","source":{"kind":"arxiv","id":"1611.09061","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09061","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09061v1","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09061","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"3O3FRMWGXAIY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3O3FRMWGXAIYK57Q","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3O3FRMWG","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3O3FRMWGXAIYK57QNMG5J76EJV","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09061","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T10:53:23Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"e5fa7874e174c6d420f457e38e0ade610db4d0343112358cee330fb3a7943bcb","abstract_canon_sha256":"3b47b80e5b7cd158dd5bd6cf825580cd47bdd27ba30735ccf833ddf63c32dfa8"},"schema_version":"1.0"},"canonical_sha256":"dbb658b2c6b8118577f06b0dd4ffc44d5f29ddc9affd7a12440675110cb1f34f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:23.139750Z","signature_b64":"rLRZhNwTRjkW1SpY1GXzUVXRKfvwDpPyXIRtjNhDU+6FmBdVvmnsTTzVGprLU8s0r+TJuyRnNiwxnf1bvRGUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dbb658b2c6b8118577f06b0dd4ffc44d5f29ddc9affd7a12440675110cb1f34f","last_reissued_at":"2026-05-18T00:49:23.139055Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:23.139055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09061","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":"2026-05-18T00:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HA7fKR+JGOVP16Tht9J93ZSriigsssJs1cAk5RrC3eK3BxY6tupT/20QRPO44WulYZp6GmsnuRe01LlKQYD2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:09:24.341666Z"},"content_sha256":"eeca23a7d1f78a4914bdbde5cee636db27572785395ded2e5fbf2f205f01227c","schema_version":"1.0","event_id":"sha256:eeca23a7d1f78a4914bdbde5cee636db27572785395ded2e5fbf2f205f01227c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3O3FRMWGXAIYK57QNMG5J76EJV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuations of collective coordinates and convexity theorems for energy surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"nucl-th","authors_text":"B. G. Giraud, S. Karataglidis, T. Sami","submitted_at":"2016-11-28T10:53:23Z","abstract_excerpt":"Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where b=<B> representes the average value(s) of one (or several) collective operator(s), B, in an \"optimized\" trial state Phi_b, and e = <H> is the average value of the Hamiltonian in this state Phi_b. It is natural to consider the uncertainty, Delta e, given that Phi_b usually belongs to a restricted set of trial states. However, we demonstrate that the uncertainty, Delta b, must also be considered, acknowledging corrections to theoretical models. We also find a link between fluctuations of collective co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09061","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":"2026-05-18T00:49:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EqxkxGyNglJqq1hGxLBtI1CwmXJYuS9WIUW0GXSqlr1Hq0q+itWQG5fTYAlZDdMPT+oHQ1eYYtE27h9yNErCDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T18:09:24.342348Z"},"content_sha256":"62b95c6128343840725a0669f5f839b820d5d2accbb93ca70efa2d7a54af3729","schema_version":"1.0","event_id":"sha256:62b95c6128343840725a0669f5f839b820d5d2accbb93ca70efa2d7a54af3729"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3O3FRMWGXAIYK57QNMG5J76EJV/bundle.json","state_url":"https://pith.science/pith/3O3FRMWGXAIYK57QNMG5J76EJV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3O3FRMWGXAIYK57QNMG5J76EJV/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":"2026-05-29T18:09:24Z","links":{"resolver":"https://pith.science/pith/3O3FRMWGXAIYK57QNMG5J76EJV","bundle":"https://pith.science/pith/3O3FRMWGXAIYK57QNMG5J76EJV/bundle.json","state":"https://pith.science/pith/3O3FRMWGXAIYK57QNMG5J76EJV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3O3FRMWGXAIYK57QNMG5J76EJV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3O3FRMWGXAIYK57QNMG5J76EJV","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":"3b47b80e5b7cd158dd5bd6cf825580cd47bdd27ba30735ccf833ddf63c32dfa8","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T10:53:23Z","title_canon_sha256":"e5fa7874e174c6d420f457e38e0ade610db4d0343112358cee330fb3a7943bcb"},"schema_version":"1.0","source":{"id":"1611.09061","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09061","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09061v1","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09061","created_at":"2026-05-18T00:49:23Z"},{"alias_kind":"pith_short_12","alias_value":"3O3FRMWGXAIY","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"3O3FRMWGXAIYK57Q","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"3O3FRMWG","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:62b95c6128343840725a0669f5f839b820d5d2accbb93ca70efa2d7a54af3729","target":"graph","created_at":"2026-05-18T00:49:23Z","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":"Constrained energy minimizations of a many-body Hamiltonian return energy landscapes e(b) where b=<B> representes the average value(s) of one (or several) collective operator(s), B, in an \"optimized\" trial state Phi_b, and e = <H> is the average value of the Hamiltonian in this state Phi_b. It is natural to consider the uncertainty, Delta e, given that Phi_b usually belongs to a restricted set of trial states. However, we demonstrate that the uncertainty, Delta b, must also be considered, acknowledging corrections to theoretical models. We also find a link between fluctuations of collective co","authors_text":"B. G. Giraud, S. Karataglidis, T. Sami","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T10:53:23Z","title":"Fluctuations of collective coordinates and convexity theorems for energy surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09061","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:eeca23a7d1f78a4914bdbde5cee636db27572785395ded2e5fbf2f205f01227c","target":"record","created_at":"2026-05-18T00:49:23Z","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":"3b47b80e5b7cd158dd5bd6cf825580cd47bdd27ba30735ccf833ddf63c32dfa8","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2016-11-28T10:53:23Z","title_canon_sha256":"e5fa7874e174c6d420f457e38e0ade610db4d0343112358cee330fb3a7943bcb"},"schema_version":"1.0","source":{"id":"1611.09061","kind":"arxiv","version":1}},"canonical_sha256":"dbb658b2c6b8118577f06b0dd4ffc44d5f29ddc9affd7a12440675110cb1f34f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbb658b2c6b8118577f06b0dd4ffc44d5f29ddc9affd7a12440675110cb1f34f","first_computed_at":"2026-05-18T00:49:23.139055Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:23.139055Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rLRZhNwTRjkW1SpY1GXzUVXRKfvwDpPyXIRtjNhDU+6FmBdVvmnsTTzVGprLU8s0r+TJuyRnNiwxnf1bvRGUBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:23.139750Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09061","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eeca23a7d1f78a4914bdbde5cee636db27572785395ded2e5fbf2f205f01227c","sha256:62b95c6128343840725a0669f5f839b820d5d2accbb93ca70efa2d7a54af3729"],"state_sha256":"3c6246ae4496220a65b0fae28cd02d8d6997c8050f2fbf98d6bd5e3bed96071d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WIBZN7IIxQUyIUxWMEaFS1RtCbjK6ZVuOZy7LF7WWglEczCnKd1hqBVjMc7NPEMdxvnl4SnX2HU55XLzPpYfCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T18:09:24.345742Z","bundle_sha256":"3bf124d46bcac718105ef5bf6f5e705ddfebfcc18456553988bf552c0008a10f"}}