{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:BASPGE2KZWCLFTCWNI3XDEYGCF","short_pith_number":"pith:BASPGE2K","canonical_record":{"source":{"id":"2407.20816","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-30T13:32:05Z","cross_cats_sorted":[],"title_canon_sha256":"7bb15984ddde70343c547081a784beb9dc0af62d9f1c1a04030c55394e6ffe34","abstract_canon_sha256":"ad220b93a7a61acbddb061a7aff08cdfc9ab57cbcbccb64edd8c8e9e93a1fb51"},"schema_version":"1.0"},"canonical_sha256":"0824f3134acd84b2cc566a377193061163b09bec7444db2ee7636575aad2ebad","source":{"kind":"arxiv","id":"2407.20816","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.20816","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"arxiv_version","alias_value":"2407.20816v2","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.20816","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_12","alias_value":"BASPGE2KZWCL","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"BASPGE2KZWCLFTCW","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"BASPGE2K","created_at":"2026-07-05T09:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:BASPGE2KZWCLFTCWNI3XDEYGCF","target":"record","payload":{"canonical_record":{"source":{"id":"2407.20816","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-30T13:32:05Z","cross_cats_sorted":[],"title_canon_sha256":"7bb15984ddde70343c547081a784beb9dc0af62d9f1c1a04030c55394e6ffe34","abstract_canon_sha256":"ad220b93a7a61acbddb061a7aff08cdfc9ab57cbcbccb64edd8c8e9e93a1fb51"},"schema_version":"1.0"},"canonical_sha256":"0824f3134acd84b2cc566a377193061163b09bec7444db2ee7636575aad2ebad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:33:10.198848Z","signature_b64":"RU3WvP2Z0BXq66B7vy18mETewVvtbq4694tn6c6lvRodLq6QGJu3agh1hMjs0TWV9EWlUTS6Ggo63emIA24nCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0824f3134acd84b2cc566a377193061163b09bec7444db2ee7636575aad2ebad","last_reissued_at":"2026-07-05T09:33:10.198304Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:33:10.198304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.20816","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:33:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hs2wdRNzMJ2YYxnmdvINJ2hobbPvIl9rX4kQFgTFqDP7wXdmQdXAre5En1VNFmt7YGuOXYJLqpYKtXtJDs6BBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:27:53.171185Z"},"content_sha256":"2a7b62e5727a43f9eb159b84485c78831daa29dac64b7098c5ab708fa5947016","schema_version":"1.0","event_id":"sha256:2a7b62e5727a43f9eb159b84485c78831daa29dac64b7098c5ab708fa5947016"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:BASPGE2KZWCLFTCWNI3XDEYGCF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the definition of Carrollian amplitudes in general dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Hong-Yang Xiao, Jiang Long, Jing-Long Yang, Wen-Bin Liu","submitted_at":"2024-07-30T13:32:05Z","abstract_excerpt":"Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincar\\'e transformation law of the Carrollian amplitude in this definition has "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.20816","kind":"arxiv","version":2},"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/2407.20816/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":"2026-07-05T09:33:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TuDuDofiU/Y/psze5IblJtgCHBhlOSXzsGGmQhqgrElEGzuE8yGdEAcr8C1Hi+/Tvrr/uULgfVbl6lI4xxVlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T12:27:53.171745Z"},"content_sha256":"5d50b56058ab526a522270c9d79c5914835bd8ed940e1325725c095f9b77ce9b","schema_version":"1.0","event_id":"sha256:5d50b56058ab526a522270c9d79c5914835bd8ed940e1325725c095f9b77ce9b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/bundle.json","state_url":"https://pith.science/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/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":"2026-08-09T12:27:53Z","links":{"resolver":"https://pith.science/pith/BASPGE2KZWCLFTCWNI3XDEYGCF","bundle":"https://pith.science/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/bundle.json","state":"https://pith.science/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BASPGE2KZWCLFTCWNI3XDEYGCF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:BASPGE2KZWCLFTCWNI3XDEYGCF","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":"ad220b93a7a61acbddb061a7aff08cdfc9ab57cbcbccb64edd8c8e9e93a1fb51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-30T13:32:05Z","title_canon_sha256":"7bb15984ddde70343c547081a784beb9dc0af62d9f1c1a04030c55394e6ffe34"},"schema_version":"1.0","source":{"id":"2407.20816","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.20816","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"arxiv_version","alias_value":"2407.20816v2","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.20816","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_12","alias_value":"BASPGE2KZWCL","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"BASPGE2KZWCLFTCW","created_at":"2026-07-05T09:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"BASPGE2K","created_at":"2026-07-05T09:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:5d50b56058ab526a522270c9d79c5914835bd8ed940e1325725c095f9b77ce9b","target":"graph","created_at":"2026-07-05T09:33:10Z","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/2407.20816/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general dimensions. We use the vielbein field on the unit sphere to define the fundamental field with non-vanishing helicity in the local Cartesian frame which is the building block of the Carrollian amplitude. In general dimensions, the Carrollian amplitude is related to the momentum space scattering matrix by a modified Fourier transform. The Poincar\\'e transformation law of the Carrollian amplitude in this definition has ","authors_text":"Hong-Yang Xiao, Jiang Long, Jing-Long Yang, Wen-Bin Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-30T13:32:05Z","title":"On the definition of Carrollian amplitudes in general dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.20816","kind":"arxiv","version":2},"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":"sha256:2a7b62e5727a43f9eb159b84485c78831daa29dac64b7098c5ab708fa5947016","target":"record","created_at":"2026-07-05T09:33:10Z","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":"ad220b93a7a61acbddb061a7aff08cdfc9ab57cbcbccb64edd8c8e9e93a1fb51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-07-30T13:32:05Z","title_canon_sha256":"7bb15984ddde70343c547081a784beb9dc0af62d9f1c1a04030c55394e6ffe34"},"schema_version":"1.0","source":{"id":"2407.20816","kind":"arxiv","version":2}},"canonical_sha256":"0824f3134acd84b2cc566a377193061163b09bec7444db2ee7636575aad2ebad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0824f3134acd84b2cc566a377193061163b09bec7444db2ee7636575aad2ebad","first_computed_at":"2026-07-05T09:33:10.198304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:10.198304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RU3WvP2Z0BXq66B7vy18mETewVvtbq4694tn6c6lvRodLq6QGJu3agh1hMjs0TWV9EWlUTS6Ggo63emIA24nCA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:10.198848Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.20816","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a7b62e5727a43f9eb159b84485c78831daa29dac64b7098c5ab708fa5947016","sha256:5d50b56058ab526a522270c9d79c5914835bd8ed940e1325725c095f9b77ce9b"],"state_sha256":"56ca177714322c81a1fc3e9d53e754e0f65f5a09a2ed28437e1945840f9e6caa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1u43T5QYxwcHhtQOayCz9vNIahhPovQgYiXB6ft6o6Hribqffqc+xLr4RLza217gXoaa/uoq8+ukTJRg9egwBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T12:27:53.176637Z","bundle_sha256":"2afdfc78fcdff7230c3856991455387b4147db42e92f51c5f4d8e3714ec7e703"}}