{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:P6QLE37DBE5EGMLNQ34BUGOJAA","short_pith_number":"pith:P6QLE37D","canonical_record":{"source":{"id":"2101.01549","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-01T05:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"c4460f3d4b2b5e821d58e137f6b136848126dff0e924251fd70a539ae169f238","abstract_canon_sha256":"c1b0a755d116fdfd40fd761d90bb6ac26ddcfdd848d09c0bfd24e5a88d7cc9ec"},"schema_version":"1.0"},"canonical_sha256":"7fa0b26fe3093a43316d86f81a19c9002126ec3339d30de15f5af650c3157d5e","source":{"kind":"arxiv","id":"2101.01549","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.01549","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"2101.01549v1","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.01549","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"P6QLE37DBE5E","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_16","alias_value":"P6QLE37DBE5EGMLN","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_8","alias_value":"P6QLE37D","created_at":"2026-07-05T02:04:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:P6QLE37DBE5EGMLNQ34BUGOJAA","target":"record","payload":{"canonical_record":{"source":{"id":"2101.01549","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-01T05:50:45Z","cross_cats_sorted":[],"title_canon_sha256":"c4460f3d4b2b5e821d58e137f6b136848126dff0e924251fd70a539ae169f238","abstract_canon_sha256":"c1b0a755d116fdfd40fd761d90bb6ac26ddcfdd848d09c0bfd24e5a88d7cc9ec"},"schema_version":"1.0"},"canonical_sha256":"7fa0b26fe3093a43316d86f81a19c9002126ec3339d30de15f5af650c3157d5e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:04:50.974312Z","signature_b64":"Tmp4Yu693muMpEadb7yRLk/zT1kz+gX1BblmsfgKMQOSwj3xtL2rrNrVh0Qm8PlLjNcd6r1LJOk8oy1o0Nc/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7fa0b26fe3093a43316d86f81a19c9002126ec3339d30de15f5af650c3157d5e","last_reissued_at":"2026-07-05T02:04:50.973957Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:04:50.973957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.01549","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":"2026-07-05T02:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZcuTC0VLrgo8HO6d2+wUJVBAIbAdKH3IUs2aADc6zL6wkisL53IXTqtHhy0qc8QA+T272SuqzGH3YUWG4MlmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:59:38.054616Z"},"content_sha256":"9e701433deb3481d4588815bf910fc2264a934c609fd5b1a82bfe6ede1264a11","schema_version":"1.0","event_id":"sha256:9e701433deb3481d4588815bf910fc2264a934c609fd5b1a82bfe6ede1264a11"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:P6QLE37DBE5EGMLNQ34BUGOJAA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Complexity of Dynamical Sphere in Self-interacting Brans-Dicke Gravity","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Amal Majid, M. Sharif","submitted_at":"2021-01-01T05:50:45Z","abstract_excerpt":"This paper aims to derive a definition of complexity for a dynamic spherical system in the background of self-interacting Brans-Dicke gravity. We measure complexity of the structure in terms of inhomogeneous energy density, anisotropic pressure and massive scalar field. For this purpose, we formulate structure scalars by orthogonally splitting the Riemann tensor. We show that self-gravitating models collapsing homologously follow the simplest mode of evolution. Furthermore, we demonstrate the effect of scalar field on the complexity and evolution of non-dissipative as well as dissipative syste"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.01549","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/2101.01549/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":"2026-07-05T02:04:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHYWAzKHa9NV4Z2xVfYUSZh7uhhnO/WEkpKdbHMlDXY7yDniQgF8SjneaIYrfinpT8xOB47nj82a5GD9IdwXDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T22:59:38.055591Z"},"content_sha256":"291105a4bd3e40e36df7eac299def0f9686a567e49200721993df16c17c0efb7","schema_version":"1.0","event_id":"sha256:291105a4bd3e40e36df7eac299def0f9686a567e49200721993df16c17c0efb7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/bundle.json","state_url":"https://pith.science/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/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":"2026-08-04T22:59:38Z","links":{"resolver":"https://pith.science/pith/P6QLE37DBE5EGMLNQ34BUGOJAA","bundle":"https://pith.science/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/bundle.json","state":"https://pith.science/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6QLE37DBE5EGMLNQ34BUGOJAA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:P6QLE37DBE5EGMLNQ34BUGOJAA","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":"c1b0a755d116fdfd40fd761d90bb6ac26ddcfdd848d09c0bfd24e5a88d7cc9ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-01T05:50:45Z","title_canon_sha256":"c4460f3d4b2b5e821d58e137f6b136848126dff0e924251fd70a539ae169f238"},"schema_version":"1.0","source":{"id":"2101.01549","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.01549","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"arxiv_version","alias_value":"2101.01549v1","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.01549","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_12","alias_value":"P6QLE37DBE5E","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_16","alias_value":"P6QLE37DBE5EGMLN","created_at":"2026-07-05T02:04:50Z"},{"alias_kind":"pith_short_8","alias_value":"P6QLE37D","created_at":"2026-07-05T02:04:50Z"}],"graph_snapshots":[{"event_id":"sha256:291105a4bd3e40e36df7eac299def0f9686a567e49200721993df16c17c0efb7","target":"graph","created_at":"2026-07-05T02:04:50Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.01549/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper aims to derive a definition of complexity for a dynamic spherical system in the background of self-interacting Brans-Dicke gravity. We measure complexity of the structure in terms of inhomogeneous energy density, anisotropic pressure and massive scalar field. For this purpose, we formulate structure scalars by orthogonally splitting the Riemann tensor. We show that self-gravitating models collapsing homologously follow the simplest mode of evolution. Furthermore, we demonstrate the effect of scalar field on the complexity and evolution of non-dissipative as well as dissipative syste","authors_text":"Amal Majid, M. Sharif","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-01T05:50:45Z","title":"Complexity of Dynamical Sphere in Self-interacting Brans-Dicke Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.01549","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":"sha256:9e701433deb3481d4588815bf910fc2264a934c609fd5b1a82bfe6ede1264a11","target":"record","created_at":"2026-07-05T02:04:50Z","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":"c1b0a755d116fdfd40fd761d90bb6ac26ddcfdd848d09c0bfd24e5a88d7cc9ec","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"gr-qc","submitted_at":"2021-01-01T05:50:45Z","title_canon_sha256":"c4460f3d4b2b5e821d58e137f6b136848126dff0e924251fd70a539ae169f238"},"schema_version":"1.0","source":{"id":"2101.01549","kind":"arxiv","version":1}},"canonical_sha256":"7fa0b26fe3093a43316d86f81a19c9002126ec3339d30de15f5af650c3157d5e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7fa0b26fe3093a43316d86f81a19c9002126ec3339d30de15f5af650c3157d5e","first_computed_at":"2026-07-05T02:04:50.973957Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:04:50.973957Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tmp4Yu693muMpEadb7yRLk/zT1kz+gX1BblmsfgKMQOSwj3xtL2rrNrVh0Qm8PlLjNcd6r1LJOk8oy1o0Nc/BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:04:50.974312Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.01549","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e701433deb3481d4588815bf910fc2264a934c609fd5b1a82bfe6ede1264a11","sha256:291105a4bd3e40e36df7eac299def0f9686a567e49200721993df16c17c0efb7"],"state_sha256":"a29ae5cd209cb4954867ededc835ab46a4dd9479c432bf6b617e3d53a0c965ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yBuXqCS6EQ/zdtZLRwAAlD0VSjlm5I32iLIbUraO7JtTLuZh9tbMEs6I3mDzaKg1aHIwyp/5I+h3f0BlXTb+AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T22:59:38.063443Z","bundle_sha256":"b36ff6344c868d51f054e118d61345c742de8b3958245a56dca677f91b46dc5b"}}