{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IPPKIYELER7SQHOBQPLQ5X3UQO","short_pith_number":"pith:IPPKIYEL","canonical_record":{"source":{"id":"2606.12515","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4c37f1b3199010ff64f57d6d91f0c5f2e8bf2e60f175776c0523f7de17af2b04","abstract_canon_sha256":"58dd4b4b8ebafeccf1ab8ab989e0cb8e6892b2687d6f7980cb9445b6cbae0136"},"schema_version":"1.0"},"canonical_sha256":"43dea4608b247f281dc183d70edf7483b233643f0cf1b9a77f8d2361089277b7","source":{"kind":"arxiv","id":"2606.12515","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12515","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12515v1","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12515","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_12","alias_value":"IPPKIYELER7S","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_16","alias_value":"IPPKIYELER7SQHOB","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_8","alias_value":"IPPKIYEL","created_at":"2026-06-12T00:07:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IPPKIYELER7SQHOBQPLQ5X3UQO","target":"record","payload":{"canonical_record":{"source":{"id":"2606.12515","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"4c37f1b3199010ff64f57d6d91f0c5f2e8bf2e60f175776c0523f7de17af2b04","abstract_canon_sha256":"58dd4b4b8ebafeccf1ab8ab989e0cb8e6892b2687d6f7980cb9445b6cbae0136"},"schema_version":"1.0"},"canonical_sha256":"43dea4608b247f281dc183d70edf7483b233643f0cf1b9a77f8d2361089277b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-12T00:07:53.051383Z","signature_b64":"epxQOVDAaFoLH2HARqRIEAnXyQ45rywCvfY9J6JigjO2dvH+YcyovSuiNzfPCyuAJzeVx1QquDWg0oL9mPndBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43dea4608b247f281dc183d70edf7483b233643f0cf1b9a77f8d2361089277b7","last_reissued_at":"2026-06-12T00:07:53.050940Z","signature_status":"signed_v1","first_computed_at":"2026-06-12T00:07:53.050940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.12515","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":"2026-06-12T00:07:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U00/XjCw4IZUc50bxSb6byXgZcbEMy1fXUhpKsGJ89A9+OBCCRyLCVYoKbJJhiWSEu/AmJ8MAykedJrDEVspDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:18:48.812954Z"},"content_sha256":"2a563eeba1b009dc6925f0c0b1424caf6d5d3512b0f433471eab7dc2eadd6e27","schema_version":"1.0","event_id":"sha256:2a563eeba1b009dc6925f0c0b1424caf6d5d3512b0f433471eab7dc2eadd6e27"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IPPKIYELER7SQHOBQPLQ5X3UQO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mapping the Infrared Phase Space of Gravity to Finite Subregions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Kathryn M. Zurek, Luca Ciambelli, Marc S. Klinger, Temple He","submitted_at":"2026-06-10T18:00:00Z","abstract_excerpt":"We construct the phase space for an arbitrary cut of a null hypersurface in Minkowski spacetime and demonstrate that it is symplectomorphic to the infrared phase space of asymptotically flat gravity. Fluctuations of the cut are mapped to the leading soft graviton mode. Furthermore, the supertranslation Goldstone mode is mapped to the product of the size of the cut with its symplectic partner, the null time offset."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12515","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.12515/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":"2026-06-12T00:07:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qsld3k8xSPhr191GQFxNUKXe349HVnmJ8ZMZlPubV19dMfs9P0hbFKcN8I4H0glw8mfdgg+DbNt3Hx/QVwTOCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T17:18:48.813339Z"},"content_sha256":"e5669c7ed5502ee5a3a3130312021de4ec7afce789e3744a2612b20bc7c9b3f8","schema_version":"1.0","event_id":"sha256:e5669c7ed5502ee5a3a3130312021de4ec7afce789e3744a2612b20bc7c9b3f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/bundle.json","state_url":"https://pith.science/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/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":"2026-06-28T17:18:48Z","links":{"resolver":"https://pith.science/pith/IPPKIYELER7SQHOBQPLQ5X3UQO","bundle":"https://pith.science/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/bundle.json","state":"https://pith.science/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPPKIYELER7SQHOBQPLQ5X3UQO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IPPKIYELER7SQHOBQPLQ5X3UQO","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":"58dd4b4b8ebafeccf1ab8ab989e0cb8e6892b2687d6f7980cb9445b6cbae0136","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","title_canon_sha256":"4c37f1b3199010ff64f57d6d91f0c5f2e8bf2e60f175776c0523f7de17af2b04"},"schema_version":"1.0","source":{"id":"2606.12515","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.12515","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"arxiv_version","alias_value":"2606.12515v1","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.12515","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_12","alias_value":"IPPKIYELER7S","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_16","alias_value":"IPPKIYELER7SQHOB","created_at":"2026-06-12T00:07:53Z"},{"alias_kind":"pith_short_8","alias_value":"IPPKIYEL","created_at":"2026-06-12T00:07:53Z"}],"graph_snapshots":[{"event_id":"sha256:e5669c7ed5502ee5a3a3130312021de4ec7afce789e3744a2612b20bc7c9b3f8","target":"graph","created_at":"2026-06-12T00:07:53Z","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/2606.12515/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct the phase space for an arbitrary cut of a null hypersurface in Minkowski spacetime and demonstrate that it is symplectomorphic to the infrared phase space of asymptotically flat gravity. Fluctuations of the cut are mapped to the leading soft graviton mode. Furthermore, the supertranslation Goldstone mode is mapped to the product of the size of the cut with its symplectic partner, the null time offset.","authors_text":"Kathryn M. Zurek, Luca Ciambelli, Marc S. Klinger, Temple He","cross_cats":["gr-qc"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","title":"Mapping the Infrared Phase Space of Gravity to Finite Subregions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.12515","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":"sha256:2a563eeba1b009dc6925f0c0b1424caf6d5d3512b0f433471eab7dc2eadd6e27","target":"record","created_at":"2026-06-12T00:07:53Z","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":"58dd4b4b8ebafeccf1ab8ab989e0cb8e6892b2687d6f7980cb9445b6cbae0136","cross_cats_sorted":["gr-qc"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-10T18:00:00Z","title_canon_sha256":"4c37f1b3199010ff64f57d6d91f0c5f2e8bf2e60f175776c0523f7de17af2b04"},"schema_version":"1.0","source":{"id":"2606.12515","kind":"arxiv","version":1}},"canonical_sha256":"43dea4608b247f281dc183d70edf7483b233643f0cf1b9a77f8d2361089277b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43dea4608b247f281dc183d70edf7483b233643f0cf1b9a77f8d2361089277b7","first_computed_at":"2026-06-12T00:07:53.050940Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-12T00:07:53.050940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"epxQOVDAaFoLH2HARqRIEAnXyQ45rywCvfY9J6JigjO2dvH+YcyovSuiNzfPCyuAJzeVx1QquDWg0oL9mPndBw==","signature_status":"signed_v1","signed_at":"2026-06-12T00:07:53.051383Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.12515","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a563eeba1b009dc6925f0c0b1424caf6d5d3512b0f433471eab7dc2eadd6e27","sha256:e5669c7ed5502ee5a3a3130312021de4ec7afce789e3744a2612b20bc7c9b3f8"],"state_sha256":"d5ff47a3e03fbda84c2507984cb0fd9354a237378ee1019d61e889f3b999f55b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9NRTHjv+w8HJqxT6yoiT7Ai7wKq96ALxd9uoZ75yBDpNNDfCPW9ZFEelnRq6hareepVxK7D/l7pMx4YHzw3+Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T17:18:48.815525Z","bundle_sha256":"17f5af2a9b30737251c7012522ef139c8a300d8146e6446ebe869bd393dfe095"}}