{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:CZKWCVRT5NAWDH2AHI76STJFZU","short_pith_number":"pith:CZKWCVRT","canonical_record":{"source":{"id":"hep-th/0604015","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-04T06:05:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bc31dfe8ea5ed0337dac2009a57395a01adddaac86a08196f7d07b700e39c036","abstract_canon_sha256":"2608794d6807ebaf4265b78a07720fabb7b9e8fa3c166642a81ed3f08729939f"},"schema_version":"1.0"},"canonical_sha256":"1655615633eb41619f403a3fe94d25cd351412865dadb5b2d4aa6f6c6982011f","source":{"kind":"arxiv","id":"hep-th/0604015","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604015","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604015v2","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604015","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"CZKWCVRT5NAW","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"CZKWCVRT5NAWDH2A","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"CZKWCVRT","created_at":"2026-07-04T17:01:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:CZKWCVRT5NAWDH2AHI76STJFZU","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0604015","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-04-04T06:05:55Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"bc31dfe8ea5ed0337dac2009a57395a01adddaac86a08196f7d07b700e39c036","abstract_canon_sha256":"2608794d6807ebaf4265b78a07720fabb7b9e8fa3c166642a81ed3f08729939f"},"schema_version":"1.0"},"canonical_sha256":"1655615633eb41619f403a3fe94d25cd351412865dadb5b2d4aa6f6c6982011f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:01:53.324759Z","signature_b64":"wDk2q4GwxgwA8O3rf1bB35K5L8wY3XA/k6spdbANClmo2hf/WTuZL7J9BsGoLyVzk1/mHBpnJUi3IFOgCMeUDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1655615633eb41619f403a3fe94d25cd351412865dadb5b2d4aa6f6c6982011f","last_reissued_at":"2026-07-04T17:01:53.324426Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:01:53.324426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0604015","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T17:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6i+cRnE7LFFfbbikb3lHlFGTM7zIYM+yY/X9C5Z9YE4dXhDZV/kYtYYtqPnFKsHKJmb3xqojYXMNLNRggmpnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:37:43.780605Z"},"content_sha256":"6501140e48795f9c9e7397cf64f9961b3586b2d5a3a1147720e87e12d59ad3dd","schema_version":"1.0","event_id":"sha256:6501140e48795f9c9e7397cf64f9961b3586b2d5a3a1147720e87e12d59ad3dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:CZKWCVRT5NAWDH2AHI76STJFZU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"LG (Landau-Ginzburg) in GL (Gregory-Laflamme)","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Barak Kol, Evgeny Sorkin","submitted_at":"2006-04-04T06:05:55Z","abstract_excerpt":"This paper continues the study of the Gregory-Laflamme instability of black strings, or more precisely of the order of the transition, being either first or second order, and the critical dimension which separates the two cases. First, we describe a novel method based on the Landau-Ginzburg perspective for the thermodynamics that somewhat improves the existing techniques. Second, we generalize the computation from a circle compactification to an arbitrary torus compactifications. We explain that the critical dimension cannot be lowered in this way, and moreover in all cases studied the transit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604015","kind":"arxiv","version":2},"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/hep-th/0604015/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":"2026-07-04T17:01:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+iKqNXdDOWtRwTIF38scpKYTdahFQf3Q2tF+84X3ldE546aKexcw6LeutSTe8+RIm2o6ySQuRaOnWpOM+GSmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T04:37:43.781133Z"},"content_sha256":"5f42fca6176c11ec8890c47c9cfeb8e60793fc32251d38d322c6b9f56e4728b8","schema_version":"1.0","event_id":"sha256:5f42fca6176c11ec8890c47c9cfeb8e60793fc32251d38d322c6b9f56e4728b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CZKWCVRT5NAWDH2AHI76STJFZU/bundle.json","state_url":"https://pith.science/pith/CZKWCVRT5NAWDH2AHI76STJFZU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CZKWCVRT5NAWDH2AHI76STJFZU/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":"2026-08-03T04:37:43Z","links":{"resolver":"https://pith.science/pith/CZKWCVRT5NAWDH2AHI76STJFZU","bundle":"https://pith.science/pith/CZKWCVRT5NAWDH2AHI76STJFZU/bundle.json","state":"https://pith.science/pith/CZKWCVRT5NAWDH2AHI76STJFZU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CZKWCVRT5NAWDH2AHI76STJFZU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:CZKWCVRT5NAWDH2AHI76STJFZU","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":"2608794d6807ebaf4265b78a07720fabb7b9e8fa3c166642a81ed3f08729939f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-04T06:05:55Z","title_canon_sha256":"bc31dfe8ea5ed0337dac2009a57395a01adddaac86a08196f7d07b700e39c036"},"schema_version":"1.0","source":{"id":"hep-th/0604015","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0604015","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0604015v2","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0604015","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_12","alias_value":"CZKWCVRT5NAW","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_16","alias_value":"CZKWCVRT5NAWDH2A","created_at":"2026-07-04T17:01:53Z"},{"alias_kind":"pith_short_8","alias_value":"CZKWCVRT","created_at":"2026-07-04T17:01:53Z"}],"graph_snapshots":[{"event_id":"sha256:5f42fca6176c11ec8890c47c9cfeb8e60793fc32251d38d322c6b9f56e4728b8","target":"graph","created_at":"2026-07-04T17:01:53Z","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/hep-th/0604015/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper continues the study of the Gregory-Laflamme instability of black strings, or more precisely of the order of the transition, being either first or second order, and the critical dimension which separates the two cases. First, we describe a novel method based on the Landau-Ginzburg perspective for the thermodynamics that somewhat improves the existing techniques. Second, we generalize the computation from a circle compactification to an arbitrary torus compactifications. We explain that the critical dimension cannot be lowered in this way, and moreover in all cases studied the transit","authors_text":"Barak Kol, Evgeny Sorkin","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-04-04T06:05:55Z","title":"LG (Landau-Ginzburg) in GL (Gregory-Laflamme)"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0604015","kind":"arxiv","version":2},"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":"sha256:6501140e48795f9c9e7397cf64f9961b3586b2d5a3a1147720e87e12d59ad3dd","target":"record","created_at":"2026-07-04T17:01:53Z","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":"2608794d6807ebaf4265b78a07720fabb7b9e8fa3c166642a81ed3f08729939f","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-04-04T06:05:55Z","title_canon_sha256":"bc31dfe8ea5ed0337dac2009a57395a01adddaac86a08196f7d07b700e39c036"},"schema_version":"1.0","source":{"id":"hep-th/0604015","kind":"arxiv","version":2}},"canonical_sha256":"1655615633eb41619f403a3fe94d25cd351412865dadb5b2d4aa6f6c6982011f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1655615633eb41619f403a3fe94d25cd351412865dadb5b2d4aa6f6c6982011f","first_computed_at":"2026-07-04T17:01:53.324426Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:01:53.324426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wDk2q4GwxgwA8O3rf1bB35K5L8wY3XA/k6spdbANClmo2hf/WTuZL7J9BsGoLyVzk1/mHBpnJUi3IFOgCMeUDA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:01:53.324759Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0604015","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6501140e48795f9c9e7397cf64f9961b3586b2d5a3a1147720e87e12d59ad3dd","sha256:5f42fca6176c11ec8890c47c9cfeb8e60793fc32251d38d322c6b9f56e4728b8"],"state_sha256":"06769c028f835dd8967a8eb45e088f39ecdf2198f57bbeb74a621e1f49051632"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4wmZGK/r+/A9YEr2owdVVcBk9G4piz6XuTReI+ovY0lV9JP7m1uHR1zFm/WPFIi4O7VxRHEVNxNAXTCduWAcAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T04:37:43.786094Z","bundle_sha256":"ae3e5c7a55a92e45f82f7cdf6ac8cb37051716d502428cdcf2431483eb7b5e0d"}}