{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:3RWAHLWPXPIZTHKWFJSMPIEQBO","short_pith_number":"pith:3RWAHLWP","canonical_record":{"source":{"id":"1008.3435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-20T04:41:04Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"ff3313a8bc1b4d5e70e5da9c7ad19e5b137cb3ddc65a1d55c8459497941e9d11","abstract_canon_sha256":"20ed44eca1a00764c54dcbc49b64ce1dc71e45f87b4ed1d6c51990fbbcf37937"},"schema_version":"1.0"},"canonical_sha256":"dc6c03aecfbbd1999d562a64c7a0900bbadf95955252a63d22bb0d4c2a25ab51","source":{"kind":"arxiv","id":"1008.3435","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3435","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3435v1","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3435","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"pith_short_12","alias_value":"3RWAHLWPXPIZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3RWAHLWPXPIZTHKW","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3RWAHLWP","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:3RWAHLWPXPIZTHKWFJSMPIEQBO","target":"record","payload":{"canonical_record":{"source":{"id":"1008.3435","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-20T04:41:04Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"ff3313a8bc1b4d5e70e5da9c7ad19e5b137cb3ddc65a1d55c8459497941e9d11","abstract_canon_sha256":"20ed44eca1a00764c54dcbc49b64ce1dc71e45f87b4ed1d6c51990fbbcf37937"},"schema_version":"1.0"},"canonical_sha256":"dc6c03aecfbbd1999d562a64c7a0900bbadf95955252a63d22bb0d4c2a25ab51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:25.990447Z","signature_b64":"ayc+zT0kfNngr++AVO3LzsUYt5+4E5eOZCKVEPK0caZiisfv55VR8m9peb8GXndnWGCJJTMxzVR32g5h2DJnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc6c03aecfbbd1999d562a64c7a0900bbadf95955252a63d22bb0d4c2a25ab51","last_reissued_at":"2026-05-18T04:30:25.989960Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:25.989960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1008.3435","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":"2026-05-18T04:30:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"efYVwlZDJs2jD+mA6WqEL6YSKPhnilEdeB3f/2Jn0cFfwwT2fj5awlwhD+8GwtJIiiblYzbYmQK/9hN/9rzUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:08:28.522057Z"},"content_sha256":"793112cf0abefde28d7d0d534a822285b37480b361c6a2f8d6dc489c86c85067","schema_version":"1.0","event_id":"sha256:793112cf0abefde28d7d0d534a822285b37480b361c6a2f8d6dc489c86c85067"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:3RWAHLWPXPIZTHKWFJSMPIEQBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hamiltonian analysis of Linearized Extension of Ho\\v{r}ava-Lifshitz gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Seoktae Koh, Sunyoung Shin","submitted_at":"2010-08-20T04:41:04Z","abstract_excerpt":"We investigate the Hamiltonian structure of linearized extended Ho\\v{r}ava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended Ho\\v{r}ava-Lifshitz gravity is similar to that of the projectable version of original Ho\\v{r}ava-Lifshitz gravity, in which there is one primary constraint and so there are two physical degrees of freedom. We also find that extra scalar graviton mode in an inflationary background can be decoupled from the matter field in the infrared (IR) limit, but it is coupled to th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3435","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":"2026-05-18T04:30:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"31rY5G4AetHuXhBO7UEWDa8MfPWQCJKftt0gNu+/Yk1dKmwhqrAWCG7UjIPhIP891l6IaipdMqYFHDMJJiTVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T06:08:28.522422Z"},"content_sha256":"d0069c8f15beda711e2e8ffb15297b05a5aa3f596223ddd1e5fb2a2a6e46fddd","schema_version":"1.0","event_id":"sha256:d0069c8f15beda711e2e8ffb15297b05a5aa3f596223ddd1e5fb2a2a6e46fddd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/bundle.json","state_url":"https://pith.science/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/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":"2026-06-04T06:08:28Z","links":{"resolver":"https://pith.science/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO","bundle":"https://pith.science/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/bundle.json","state":"https://pith.science/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3RWAHLWPXPIZTHKWFJSMPIEQBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:3RWAHLWPXPIZTHKWFJSMPIEQBO","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":"20ed44eca1a00764c54dcbc49b64ce1dc71e45f87b4ed1d6c51990fbbcf37937","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-20T04:41:04Z","title_canon_sha256":"ff3313a8bc1b4d5e70e5da9c7ad19e5b137cb3ddc65a1d55c8459497941e9d11"},"schema_version":"1.0","source":{"id":"1008.3435","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1008.3435","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"arxiv_version","alias_value":"1008.3435v1","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.3435","created_at":"2026-05-18T04:30:25Z"},{"alias_kind":"pith_short_12","alias_value":"3RWAHLWPXPIZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"3RWAHLWPXPIZTHKW","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"3RWAHLWP","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:d0069c8f15beda711e2e8ffb15297b05a5aa3f596223ddd1e5fb2a2a6e46fddd","target":"graph","created_at":"2026-05-18T04:30:25Z","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":"We investigate the Hamiltonian structure of linearized extended Ho\\v{r}ava- Lifshitz gravity in a flat cosmological background following the Faddeev-Jackiw's Hamiltonian reduction formalism. The Hamiltonian structure of extended Ho\\v{r}ava-Lifshitz gravity is similar to that of the projectable version of original Ho\\v{r}ava-Lifshitz gravity, in which there is one primary constraint and so there are two physical degrees of freedom. We also find that extra scalar graviton mode in an inflationary background can be decoupled from the matter field in the infrared (IR) limit, but it is coupled to th","authors_text":"Seoktae Koh, Sunyoung Shin","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-20T04:41:04Z","title":"Hamiltonian analysis of Linearized Extension of Ho\\v{r}ava-Lifshitz gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.3435","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":"sha256:793112cf0abefde28d7d0d534a822285b37480b361c6a2f8d6dc489c86c85067","target":"record","created_at":"2026-05-18T04:30:25Z","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":"20ed44eca1a00764c54dcbc49b64ce1dc71e45f87b4ed1d6c51990fbbcf37937","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-08-20T04:41:04Z","title_canon_sha256":"ff3313a8bc1b4d5e70e5da9c7ad19e5b137cb3ddc65a1d55c8459497941e9d11"},"schema_version":"1.0","source":{"id":"1008.3435","kind":"arxiv","version":1}},"canonical_sha256":"dc6c03aecfbbd1999d562a64c7a0900bbadf95955252a63d22bb0d4c2a25ab51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc6c03aecfbbd1999d562a64c7a0900bbadf95955252a63d22bb0d4c2a25ab51","first_computed_at":"2026-05-18T04:30:25.989960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:25.989960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ayc+zT0kfNngr++AVO3LzsUYt5+4E5eOZCKVEPK0caZiisfv55VR8m9peb8GXndnWGCJJTMxzVR32g5h2DJnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:25.990447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1008.3435","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:793112cf0abefde28d7d0d534a822285b37480b361c6a2f8d6dc489c86c85067","sha256:d0069c8f15beda711e2e8ffb15297b05a5aa3f596223ddd1e5fb2a2a6e46fddd"],"state_sha256":"c94a976e8b78562723998fce03b5650a67339dd44b261e2605e17f2349f48da4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nN5O66nxhxvgFOXpGa2tZ8ZSwCI2qFyoc2vxWZNmPj/7jTLRP6H+ZzdA+gsuuS0rsIafJya7YErJumfqszKjDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T06:08:28.524449Z","bundle_sha256":"dc8885ae384b71f0d18b6bfb6d61327332c7dff097dd8fce5a636cb03516ba2b"}}