{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:RW7QKHA4SI4FH5PXDXQ7GWS7UB","short_pith_number":"pith:RW7QKHA4","canonical_record":{"source":{"id":"1408.5055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-21T16:31:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"03468435cd4bcb1432a5189e9a456e06e1a8f4a84a204164b980fbc650760fd5","abstract_canon_sha256":"cdf7565e0645e4018ada83c421da8ccc27056737ae4a91abf39a9d2fec0eac06"},"schema_version":"1.0"},"canonical_sha256":"8dbf051c1c923853f5f71de1f35a5fa078899370d79bd4fee60886a387551539","source":{"kind":"arxiv","id":"1408.5055","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5055","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5055v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5055","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"RW7QKHA4SI4F","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RW7QKHA4SI4FH5PX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RW7QKHA4","created_at":"2026-05-18T12:28:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:RW7QKHA4SI4FH5PXDXQ7GWS7UB","target":"record","payload":{"canonical_record":{"source":{"id":"1408.5055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-21T16:31:12Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"03468435cd4bcb1432a5189e9a456e06e1a8f4a84a204164b980fbc650760fd5","abstract_canon_sha256":"cdf7565e0645e4018ada83c421da8ccc27056737ae4a91abf39a9d2fec0eac06"},"schema_version":"1.0"},"canonical_sha256":"8dbf051c1c923853f5f71de1f35a5fa078899370d79bd4fee60886a387551539","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:40.811552Z","signature_b64":"Vu+8yo+8vLkaYil4EIxp6C68hDcsDMalgiAHgGtkMQ5kJDY/9URSlEijGxYotqq0kgBqaHcnSFkBrpy2dEEMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8dbf051c1c923853f5f71de1f35a5fa078899370d79bd4fee60886a387551539","last_reissued_at":"2026-05-18T02:44:40.811041Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:40.811041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.5055","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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7zWe7d3Pm+4kbkEHkglvfb5US6EtDQlC2DjBA0PZMHki4IY8jAmUl8JYGOuxImJPH0+J8s5t489VkcP6irEYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:51:50.792126Z"},"content_sha256":"b4e3354366ce5aae65104a2b8e22628ef53041d28b8db739dcce6101e478a649","schema_version":"1.0","event_id":"sha256:b4e3354366ce5aae65104a2b8e22628ef53041d28b8db739dcce6101e478a649"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:RW7QKHA4SI4FH5PXDXQ7GWS7UB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Haitang Yang, Mu Benrong, Peng Wang","submitted_at":"2014-08-21T16:31:12Z","abstract_excerpt":"We first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action $I$ of tunnelings of a fermionic particle from a charged black hole can be written in the same form as that of a scalar particle. For the low energy quantum gravity effective models which respect covariance of the curved spacetime, we derive the deformed model-independent KG/Dirac and Hamilton-Jacobi equations using the methods of effective field theory. We then find that, to all orders of the effective theories, the deformed Hamilton-Jacobi equations can be obtained from the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5055","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":"2026-05-18T02:44:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Ke80X3bLtSDm06AvgvEvMTGcbERdcSPe2G0o4AyX2NaZQFfdY2+DuqptZFwgz9Oqwj11BS9PWMYVr8FA+brCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:51:50.792776Z"},"content_sha256":"81736d0795aa31c81dd27338483b128ffd2ec27bea502bfd7398cd6145c6e8fb","schema_version":"1.0","event_id":"sha256:81736d0795aa31c81dd27338483b128ffd2ec27bea502bfd7398cd6145c6e8fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/bundle.json","state_url":"https://pith.science/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/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":"2026-06-09T15:51:50Z","links":{"resolver":"https://pith.science/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB","bundle":"https://pith.science/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/bundle.json","state":"https://pith.science/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RW7QKHA4SI4FH5PXDXQ7GWS7UB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RW7QKHA4SI4FH5PXDXQ7GWS7UB","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":"cdf7565e0645e4018ada83c421da8ccc27056737ae4a91abf39a9d2fec0eac06","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-21T16:31:12Z","title_canon_sha256":"03468435cd4bcb1432a5189e9a456e06e1a8f4a84a204164b980fbc650760fd5"},"schema_version":"1.0","source":{"id":"1408.5055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.5055","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"arxiv_version","alias_value":"1408.5055v1","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.5055","created_at":"2026-05-18T02:44:40Z"},{"alias_kind":"pith_short_12","alias_value":"RW7QKHA4SI4F","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RW7QKHA4SI4FH5PX","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RW7QKHA4","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:81736d0795aa31c81dd27338483b128ffd2ec27bea502bfd7398cd6145c6e8fb","target":"graph","created_at":"2026-05-18T02:44:40Z","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 first briefly revisit the original Hamilton-Jacobi method and show that the Hamilton-Jacobi equation for the action $I$ of tunnelings of a fermionic particle from a charged black hole can be written in the same form as that of a scalar particle. For the low energy quantum gravity effective models which respect covariance of the curved spacetime, we derive the deformed model-independent KG/Dirac and Hamilton-Jacobi equations using the methods of effective field theory. We then find that, to all orders of the effective theories, the deformed Hamilton-Jacobi equations can be obtained from the ","authors_text":"Haitang Yang, Mu Benrong, Peng Wang","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-21T16:31:12Z","title":"Deformed Hamilton-Jacobi Method in Covariant Quantum Gravity Effective Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5055","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:b4e3354366ce5aae65104a2b8e22628ef53041d28b8db739dcce6101e478a649","target":"record","created_at":"2026-05-18T02:44:40Z","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":"cdf7565e0645e4018ada83c421da8ccc27056737ae4a91abf39a9d2fec0eac06","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-21T16:31:12Z","title_canon_sha256":"03468435cd4bcb1432a5189e9a456e06e1a8f4a84a204164b980fbc650760fd5"},"schema_version":"1.0","source":{"id":"1408.5055","kind":"arxiv","version":1}},"canonical_sha256":"8dbf051c1c923853f5f71de1f35a5fa078899370d79bd4fee60886a387551539","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8dbf051c1c923853f5f71de1f35a5fa078899370d79bd4fee60886a387551539","first_computed_at":"2026-05-18T02:44:40.811041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:40.811041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vu+8yo+8vLkaYil4EIxp6C68hDcsDMalgiAHgGtkMQ5kJDY/9URSlEijGxYotqq0kgBqaHcnSFkBrpy2dEEMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:40.811552Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.5055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b4e3354366ce5aae65104a2b8e22628ef53041d28b8db739dcce6101e478a649","sha256:81736d0795aa31c81dd27338483b128ffd2ec27bea502bfd7398cd6145c6e8fb"],"state_sha256":"ce3a461995921515821eca018f3f6067760803dd142a1f17f4fd8cd952bc692f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3u69mhXrWD/fB9zm6EQB0pZZ70tezLGMuGAUKIlUjNUp5Dj8gK/tA9l1FpmLN3qiBGTwylPEosPJeQfqOLoBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:51:50.796541Z","bundle_sha256":"6dcacd8262fca4f669fa9c878c04b74199c544a68ab1b0f5d9d8a81e6ed9242c"}}