{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:4FH6KYNM6OA4G6DB2E42FTHCG4","short_pith_number":"pith:4FH6KYNM","canonical_record":{"source":{"id":"1109.3052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-14T11:25:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0078740519dff800e5539ff9016be439329278dde37b0836937e56a144d58eae","abstract_canon_sha256":"4342682692b862523dcf18be61af9a2e5e87d51b2f359ecb4981a581844bf324"},"schema_version":"1.0"},"canonical_sha256":"e14fe561acf381c37861d139a2cce2371d0476a2d4c8bb43b16588adde14523e","source":{"kind":"arxiv","id":"1109.3052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3052","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3052v1","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3052","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"pith_short_12","alias_value":"4FH6KYNM6OA4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FH6KYNM6OA4G6DB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FH6KYNM","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:4FH6KYNM6OA4G6DB2E42FTHCG4","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-14T11:25:35Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"0078740519dff800e5539ff9016be439329278dde37b0836937e56a144d58eae","abstract_canon_sha256":"4342682692b862523dcf18be61af9a2e5e87d51b2f359ecb4981a581844bf324"},"schema_version":"1.0"},"canonical_sha256":"e14fe561acf381c37861d139a2cce2371d0476a2d4c8bb43b16588adde14523e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:33.067819Z","signature_b64":"6S0ps02ty8jUTn1VjTabJFwPyeH18B/GXLuWJCwUjUtiPNzZXRRNbQucjAWXE24MLPHg6BigskkW5719GWHCCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e14fe561acf381c37861d139a2cce2371d0476a2d4c8bb43b16588adde14523e","last_reissued_at":"2026-05-18T02:00:33.067239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:33.067239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3052","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":"2026-05-18T02:00:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pVGAOH17bQM8RnhWlUuIzJyO2B69VD6zxG+Zsw3xK+R4heRWSvX1WI8piPElKh78Gs99qxYx/U0vuh1h6SR+DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:29:16.761358Z"},"content_sha256":"18575eb33ed8f010dd218a71439c1448d6078dfd27ce484ed4bfa9af30ddf25e","schema_version":"1.0","event_id":"sha256:18575eb33ed8f010dd218a71439c1448d6078dfd27ce484ed4bfa9af30ddf25e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:4FH6KYNM6OA4G6DB2E42FTHCG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Note About Hamiltonian Structure of Non-Linear Massive Gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"J. Kluson","submitted_at":"2011-09-14T11:25:35Z","abstract_excerpt":"We perform the Hamiltonian analysis of non-linear massive gravity action studied recently in arXiv:1106.3344 [hep-th]. We show that the Hamiltonian constraint is the second class constraint. As a result the theory possesses an odd number of the second class constraints and hence all non physical degrees of freedom cannot be eliminated."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3052","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":"2026-05-18T02:00:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97UW0lgerDpBwZkhooBCLwiSZrBH6VJZkBgJvdhX+CvtZ29FeBEt5zoKPmhC0iqY6wItTZczdaY5COszvaaTBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T20:29:16.762104Z"},"content_sha256":"40a96ab3008d93b3468c7a30a443f3e6e6d6de257058cba3473f5ca9fccfdf85","schema_version":"1.0","event_id":"sha256:40a96ab3008d93b3468c7a30a443f3e6e6d6de257058cba3473f5ca9fccfdf85"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/bundle.json","state_url":"https://pith.science/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/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":"2026-05-30T20:29:16Z","links":{"resolver":"https://pith.science/pith/4FH6KYNM6OA4G6DB2E42FTHCG4","bundle":"https://pith.science/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/bundle.json","state":"https://pith.science/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4FH6KYNM6OA4G6DB2E42FTHCG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:4FH6KYNM6OA4G6DB2E42FTHCG4","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":"4342682692b862523dcf18be61af9a2e5e87d51b2f359ecb4981a581844bf324","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-14T11:25:35Z","title_canon_sha256":"0078740519dff800e5539ff9016be439329278dde37b0836937e56a144d58eae"},"schema_version":"1.0","source":{"id":"1109.3052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3052","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3052v1","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3052","created_at":"2026-05-18T02:00:33Z"},{"alias_kind":"pith_short_12","alias_value":"4FH6KYNM6OA4","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"4FH6KYNM6OA4G6DB","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"4FH6KYNM","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:40a96ab3008d93b3468c7a30a443f3e6e6d6de257058cba3473f5ca9fccfdf85","target":"graph","created_at":"2026-05-18T02:00:33Z","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 perform the Hamiltonian analysis of non-linear massive gravity action studied recently in arXiv:1106.3344 [hep-th]. We show that the Hamiltonian constraint is the second class constraint. As a result the theory possesses an odd number of the second class constraints and hence all non physical degrees of freedom cannot be eliminated.","authors_text":"J. Kluson","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-14T11:25:35Z","title":"Note About Hamiltonian Structure of Non-Linear Massive Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3052","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":"sha256:18575eb33ed8f010dd218a71439c1448d6078dfd27ce484ed4bfa9af30ddf25e","target":"record","created_at":"2026-05-18T02:00:33Z","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":"4342682692b862523dcf18be61af9a2e5e87d51b2f359ecb4981a581844bf324","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-09-14T11:25:35Z","title_canon_sha256":"0078740519dff800e5539ff9016be439329278dde37b0836937e56a144d58eae"},"schema_version":"1.0","source":{"id":"1109.3052","kind":"arxiv","version":1}},"canonical_sha256":"e14fe561acf381c37861d139a2cce2371d0476a2d4c8bb43b16588adde14523e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e14fe561acf381c37861d139a2cce2371d0476a2d4c8bb43b16588adde14523e","first_computed_at":"2026-05-18T02:00:33.067239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:00:33.067239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6S0ps02ty8jUTn1VjTabJFwPyeH18B/GXLuWJCwUjUtiPNzZXRRNbQucjAWXE24MLPHg6BigskkW5719GWHCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:00:33.067819Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18575eb33ed8f010dd218a71439c1448d6078dfd27ce484ed4bfa9af30ddf25e","sha256:40a96ab3008d93b3468c7a30a443f3e6e6d6de257058cba3473f5ca9fccfdf85"],"state_sha256":"e71547b8a5772d202ff756f7e55c630ef6262ed2377d7c34dbfca5f707fc43ee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ffavv47VOVPoRnWVpBk23KxW3xj3QVZPtVTi+6XmyCA+KYf5oUmrsN/hs7BADQaSmrnxAU7zeBrHX0uuLQNNCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T20:29:16.765588Z","bundle_sha256":"32b1cf68487460b40e0182760f507277fc6fc931b4cec729ee56d59af10da57b"}}