{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:ZLZINNHVOQ6Y7UTSDUYV5NVN6U","short_pith_number":"pith:ZLZINNHV","canonical_record":{"source":{"id":"gr-qc/9905043","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-13T12:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"5e908b10b2e1be014c7c9723785f7a57d47d342b32853a3095391724d3d8b1b5","abstract_canon_sha256":"133dde0dab915be0cf4b06030359c01f0d66d719c99de1278560b6a0eb9e9bb1"},"schema_version":"1.0"},"canonical_sha256":"caf286b4f5743d8fd2721d315eb6adf53cf37a35b7b2f706bf92201de154d296","source":{"kind":"arxiv","id":"gr-qc/9905043","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9905043","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9905043v1","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9905043","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZLZINNHVOQ6Y","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZLZINNHVOQ6Y7UTS","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZLZINNHV","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:ZLZINNHVOQ6Y7UTSDUYV5NVN6U","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9905043","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-13T12:38:06Z","cross_cats_sorted":[],"title_canon_sha256":"5e908b10b2e1be014c7c9723785f7a57d47d342b32853a3095391724d3d8b1b5","abstract_canon_sha256":"133dde0dab915be0cf4b06030359c01f0d66d719c99de1278560b6a0eb9e9bb1"},"schema_version":"1.0"},"canonical_sha256":"caf286b4f5743d8fd2721d315eb6adf53cf37a35b7b2f706bf92201de154d296","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:18.036732Z","signature_b64":"KqpVo6XL5FdvoUJPbbrP49k96BLzvXYEk8XUF8pkqfNiTzlGmQOdBVEOUGScst5zvNV5njln0oSGueSDpgVpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"caf286b4f5743d8fd2721d315eb6adf53cf37a35b7b2f706bf92201de154d296","last_reissued_at":"2026-05-18T01:39:18.036044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:18.036044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9905043","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":"2026-05-18T01:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CDuxnT5JZu+JlgxVDQ7VpOig4TDw8jb6jILzF4QlWC1twrrtTxQ7PwXn8LyYk4SAUNTGw+3e86nQO04X+yqdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:00:34.374055Z"},"content_sha256":"702389f09b6344dacc52da9e91c31c408dfc813deeef1fa21dba8df9e2c9aab3","schema_version":"1.0","event_id":"sha256:702389f09b6344dacc52da9e91c31c408dfc813deeef1fa21dba8df9e2c9aab3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:ZLZINNHVOQ6Y7UTSDUYV5NVN6U","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the adiabatic expansion of the visible space in a higher-dimensional Cosmology","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"D. B. Papadopoulos, K. Kleidis","submitted_at":"1999-05-13T12:38:06Z","abstract_excerpt":"In the context of higher-dimensional cosmologies with isotropic visible and internal space and multi-perfect fluid matter, we study the conditions under which adiabatic expansion of the visoble external space is possible, when a time-dependent internal space is present. The analysis is based on a reinterpretation of the four-dimensional stress-energy tensor in the presence of the extra dimensions. This modifies the usual adiabatic energy conservation laws for the visible Universe, leading to a new type of cosmological evolution which includes large-scale entropy production in four dimensions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9905043","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":"2026-05-18T01:39:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8/NZpSXT35iRRSle3AjAb93HLLnSpx+uETiNM0/ofxCroWNVZ+FRRCHbiAUbwrXJq9ZwxGuNdNV8EW9k6XXbDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T10:00:34.374474Z"},"content_sha256":"6cfeb8c0662e378a1b442759e071753c435610f27d21307e05f63a083c71f061","schema_version":"1.0","event_id":"sha256:6cfeb8c0662e378a1b442759e071753c435610f27d21307e05f63a083c71f061"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/bundle.json","state_url":"https://pith.science/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/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":"2026-05-27T10:00:34Z","links":{"resolver":"https://pith.science/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U","bundle":"https://pith.science/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/bundle.json","state":"https://pith.science/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZLZINNHVOQ6Y7UTSDUYV5NVN6U/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:ZLZINNHVOQ6Y7UTSDUYV5NVN6U","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":"133dde0dab915be0cf4b06030359c01f0d66d719c99de1278560b6a0eb9e9bb1","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-13T12:38:06Z","title_canon_sha256":"5e908b10b2e1be014c7c9723785f7a57d47d342b32853a3095391724d3d8b1b5"},"schema_version":"1.0","source":{"id":"gr-qc/9905043","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9905043","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9905043v1","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9905043","created_at":"2026-05-18T01:39:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZLZINNHVOQ6Y","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"ZLZINNHVOQ6Y7UTS","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"ZLZINNHV","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:6cfeb8c0662e378a1b442759e071753c435610f27d21307e05f63a083c71f061","target":"graph","created_at":"2026-05-18T01:39:18Z","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":"In the context of higher-dimensional cosmologies with isotropic visible and internal space and multi-perfect fluid matter, we study the conditions under which adiabatic expansion of the visoble external space is possible, when a time-dependent internal space is present. The analysis is based on a reinterpretation of the four-dimensional stress-energy tensor in the presence of the extra dimensions. This modifies the usual adiabatic energy conservation laws for the visible Universe, leading to a new type of cosmological evolution which includes large-scale entropy production in four dimensions.","authors_text":"D. B. Papadopoulos, K. Kleidis","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1999-05-13T12:38:06Z","title":"On the adiabatic expansion of the visible space in a higher-dimensional Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9905043","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":"sha256:702389f09b6344dacc52da9e91c31c408dfc813deeef1fa21dba8df9e2c9aab3","target":"record","created_at":"2026-05-18T01:39:18Z","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":"133dde0dab915be0cf4b06030359c01f0d66d719c99de1278560b6a0eb9e9bb1","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"1999-05-13T12:38:06Z","title_canon_sha256":"5e908b10b2e1be014c7c9723785f7a57d47d342b32853a3095391724d3d8b1b5"},"schema_version":"1.0","source":{"id":"gr-qc/9905043","kind":"arxiv","version":1}},"canonical_sha256":"caf286b4f5743d8fd2721d315eb6adf53cf37a35b7b2f706bf92201de154d296","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caf286b4f5743d8fd2721d315eb6adf53cf37a35b7b2f706bf92201de154d296","first_computed_at":"2026-05-18T01:39:18.036044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:18.036044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KqpVo6XL5FdvoUJPbbrP49k96BLzvXYEk8XUF8pkqfNiTzlGmQOdBVEOUGScst5zvNV5njln0oSGueSDpgVpDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:18.036732Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9905043","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:702389f09b6344dacc52da9e91c31c408dfc813deeef1fa21dba8df9e2c9aab3","sha256:6cfeb8c0662e378a1b442759e071753c435610f27d21307e05f63a083c71f061"],"state_sha256":"ad231467abbb2173dded79b27e46a077295a5f311f4bd53fe1d18f89eb03a1a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4PMWPWMFu1MSFbt/cZf6pP81Ux78ka/2mNRETOzn9a9zxLEq86/hNZb2RCJkh5anRx8lQ4f6WX0VNITY+XSGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T10:00:34.377403Z","bundle_sha256":"9fe51e2e748dd806a22f025ea5e672efa4767665f169008916f65324154fedc0"}}