{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:523KJK2DIBG6CBMGQGJJZMTQAF","short_pith_number":"pith:523KJK2D","canonical_record":{"source":{"id":"1211.6095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T20:56:59Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7449c9c352278604f6b0ee8925128bb344793ccf194b7cac45147d9a872ff09b","abstract_canon_sha256":"13ee47f29c101ba4b1b53e110843aab67519c896629b43b10f8f1f781c08545d"},"schema_version":"1.0"},"canonical_sha256":"eeb6a4ab43404de1058681929cb270016d10af00924ed075383e4513049b6362","source":{"kind":"arxiv","id":"1211.6095","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6095","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6095v1","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6095","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"523KJK2DIBG6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"523KJK2DIBG6CBMG","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"523KJK2D","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:523KJK2DIBG6CBMGQGJJZMTQAF","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T20:56:59Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"7449c9c352278604f6b0ee8925128bb344793ccf194b7cac45147d9a872ff09b","abstract_canon_sha256":"13ee47f29c101ba4b1b53e110843aab67519c896629b43b10f8f1f781c08545d"},"schema_version":"1.0"},"canonical_sha256":"eeb6a4ab43404de1058681929cb270016d10af00924ed075383e4513049b6362","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:43.681291Z","signature_b64":"eK6TgCtnf2FvdV2nBz0Z1YHLAEktRqY/jkDrJrptn92C8ZDowVOJsvBY8QimgkuHPlkRX7WkpIt/SK1diQkwCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eeb6a4ab43404de1058681929cb270016d10af00924ed075383e4513049b6362","last_reissued_at":"2026-05-18T02:48:43.680700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:43.680700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6095","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":"2026-05-18T02:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hWrbhNEcbcnyF08rFJ74U8b8oqfb1+z4Sed3+R8JrqbWWqBnwxf57vysKSq+pRVx5BV3TSSwRKodDC90nh7+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:55:00.798851Z"},"content_sha256":"117fb66663afded09f8d01612c88bb1b38d95bdefc3f99f64df8fef7e6c01e30","schema_version":"1.0","event_id":"sha256:117fb66663afded09f8d01612c88bb1b38d95bdefc3f99f64df8fef7e6c01e30"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:523KJK2DIBG6CBMGQGJJZMTQAF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black hole mass dynamics and renormalization group evolution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andreas Ross, Ira Z. Rothstein, Walter D. Goldberger","submitted_at":"2012-11-26T20:56:59Z","abstract_excerpt":"We examine the real-time dynamics of a system of one or more black holes interacting with long wavelength gravitational fields. We find that the (classical) renormalizability of the effective field theory that describes this system necessitates the introduction of a time dependent mass counterterm, and consequently the mass parameter must be promoted to a dynamical degree of freedom. To track the time evolution of this dynamical mass, we compute the expectation value of the energy-momentum tensor within the in-in formalism, and fix the time dependence by imposing energy-momentum conservation. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6095","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":"2026-05-18T02:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7Q9jKm37JdtEFMt+1pNvk18Gcmt4o9Ll0QzAKewNdf0h8eQ9RLzyx0XH+lR2/9A3bgY1VuJtq8aeICd9eSvBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:55:00.799192Z"},"content_sha256":"d0c20e94fe4fe36b56a8104d5d3da22a2addb576a711148198f4ad0d9d168d59","schema_version":"1.0","event_id":"sha256:d0c20e94fe4fe36b56a8104d5d3da22a2addb576a711148198f4ad0d9d168d59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/523KJK2DIBG6CBMGQGJJZMTQAF/bundle.json","state_url":"https://pith.science/pith/523KJK2DIBG6CBMGQGJJZMTQAF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/523KJK2DIBG6CBMGQGJJZMTQAF/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":"2026-06-02T02:55:00Z","links":{"resolver":"https://pith.science/pith/523KJK2DIBG6CBMGQGJJZMTQAF","bundle":"https://pith.science/pith/523KJK2DIBG6CBMGQGJJZMTQAF/bundle.json","state":"https://pith.science/pith/523KJK2DIBG6CBMGQGJJZMTQAF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/523KJK2DIBG6CBMGQGJJZMTQAF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:523KJK2DIBG6CBMGQGJJZMTQAF","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":"13ee47f29c101ba4b1b53e110843aab67519c896629b43b10f8f1f781c08545d","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T20:56:59Z","title_canon_sha256":"7449c9c352278604f6b0ee8925128bb344793ccf194b7cac45147d9a872ff09b"},"schema_version":"1.0","source":{"id":"1211.6095","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6095","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6095v1","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6095","created_at":"2026-05-18T02:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"523KJK2DIBG6","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"523KJK2DIBG6CBMG","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"523KJK2D","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:d0c20e94fe4fe36b56a8104d5d3da22a2addb576a711148198f4ad0d9d168d59","target":"graph","created_at":"2026-05-18T02:48:43Z","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 examine the real-time dynamics of a system of one or more black holes interacting with long wavelength gravitational fields. We find that the (classical) renormalizability of the effective field theory that describes this system necessitates the introduction of a time dependent mass counterterm, and consequently the mass parameter must be promoted to a dynamical degree of freedom. To track the time evolution of this dynamical mass, we compute the expectation value of the energy-momentum tensor within the in-in formalism, and fix the time dependence by imposing energy-momentum conservation. ","authors_text":"Andreas Ross, Ira Z. Rothstein, Walter D. Goldberger","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T20:56:59Z","title":"Black hole mass dynamics and renormalization group evolution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6095","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":"sha256:117fb66663afded09f8d01612c88bb1b38d95bdefc3f99f64df8fef7e6c01e30","target":"record","created_at":"2026-05-18T02:48:43Z","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":"13ee47f29c101ba4b1b53e110843aab67519c896629b43b10f8f1f781c08545d","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-11-26T20:56:59Z","title_canon_sha256":"7449c9c352278604f6b0ee8925128bb344793ccf194b7cac45147d9a872ff09b"},"schema_version":"1.0","source":{"id":"1211.6095","kind":"arxiv","version":1}},"canonical_sha256":"eeb6a4ab43404de1058681929cb270016d10af00924ed075383e4513049b6362","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eeb6a4ab43404de1058681929cb270016d10af00924ed075383e4513049b6362","first_computed_at":"2026-05-18T02:48:43.680700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:43.680700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eK6TgCtnf2FvdV2nBz0Z1YHLAEktRqY/jkDrJrptn92C8ZDowVOJsvBY8QimgkuHPlkRX7WkpIt/SK1diQkwCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:43.681291Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6095","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:117fb66663afded09f8d01612c88bb1b38d95bdefc3f99f64df8fef7e6c01e30","sha256:d0c20e94fe4fe36b56a8104d5d3da22a2addb576a711148198f4ad0d9d168d59"],"state_sha256":"65e0850d1d57080c84a61e51365de7a5016e575e06ac88f221ab1662e1e0ba84"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYRwWT8zIKNLuWGjmVvrng4V3HpP05XZxVnQHTtQLSOLKi8rkDNX49JvwJlMNKf4fLn3pJNHq50pVgNM9Wt7Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:55:00.801143Z","bundle_sha256":"2cafec1e69729e6938b33eb2916bb99a57060551892784bcee2bf0677cee856c"}}