{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VSGIP5WFS353URD74YRMK4OMSP","short_pith_number":"pith:VSGIP5WF","canonical_record":{"source":{"id":"1011.4999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-23T03:44:18Z","cross_cats_sorted":[],"title_canon_sha256":"73ad09d99cb18d27dc098974fe84e609d60662b19d8dfc8e15755e009f8312ac","abstract_canon_sha256":"e616b0d0b8a26e381751fbc5b6a22cf6a09ecf975eb9545c22988936b7e81b51"},"schema_version":"1.0"},"canonical_sha256":"ac8c87f6c596fbba447fe622c571cc93e9ea2fed22ff93ebaf16002372a3a100","source":{"kind":"arxiv","id":"1011.4999","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4999","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4999v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4999","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"VSGIP5WFS353","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VSGIP5WFS353URD7","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VSGIP5WF","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VSGIP5WFS353URD74YRMK4OMSP","target":"record","payload":{"canonical_record":{"source":{"id":"1011.4999","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-23T03:44:18Z","cross_cats_sorted":[],"title_canon_sha256":"73ad09d99cb18d27dc098974fe84e609d60662b19d8dfc8e15755e009f8312ac","abstract_canon_sha256":"e616b0d0b8a26e381751fbc5b6a22cf6a09ecf975eb9545c22988936b7e81b51"},"schema_version":"1.0"},"canonical_sha256":"ac8c87f6c596fbba447fe622c571cc93e9ea2fed22ff93ebaf16002372a3a100","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:22:40.053896Z","signature_b64":"Olyuv1T1Pxle1Bc4XFh34VKiSVXfyrOYwVOdTeWaO1Qx0wWhKq5sRvawfa1bsbamiPO3wKG9OR9Nf3tUaRVeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac8c87f6c596fbba447fe622c571cc93e9ea2fed22ff93ebaf16002372a3a100","last_reissued_at":"2026-05-18T04:22:40.053336Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:22:40.053336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1011.4999","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":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JTiPrIuG2VtbTD1ZoWFLI1JOKGKN6z73Jgwb3AZuUm/vTKHiRYy44HV75HIW/gRQVxH0FRtB8SSxdHj2B5NUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:25:35.790394Z"},"content_sha256":"668075eedfa22396b6a2f2157de9c662b74346ded38abae49bb6e073843963b6","schema_version":"1.0","event_id":"sha256:668075eedfa22396b6a2f2157de9c662b74346ded38abae49bb6e073843963b6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VSGIP5WFS353URD74YRMK4OMSP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Metrics with Galilean Conformal Isometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Arjun Bagchi, Arnab Kundu","submitted_at":"2010-11-23T03:44:18Z","abstract_excerpt":"The Galilean Conformal Algebra (GCA) arises in taking the non-relativistic limit of the symmetries of a relativistic Conformal Field Theory in any dimensions. It is known to be infinite-dimensional in all spacetime dimensions. In particular, the 2d GCA emerges out of a scaling limit of linear combinations of two copies of the Virasoro algebra. In this paper, we find metrics in dimensions greater than two which realize the finite 2d GCA (the global part of the infinite algebra) as their isometry by systematically looking at a construction in terms of cosets of this finite algebra. We list all p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4999","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":"2026-05-18T04:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iF5q0oqmzIyj7hTpp1+AQd79j6utVd2zsC5g4wpLzov4fIw8WJJZi1XuFGKY29mzqoQ9gUJVZTYCWHTK1V1jDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:25:35.791043Z"},"content_sha256":"3761534f29fd26ff5c551eb5439fa0a628d2f448bb2ecb0945d301bfb03dc569","schema_version":"1.0","event_id":"sha256:3761534f29fd26ff5c551eb5439fa0a628d2f448bb2ecb0945d301bfb03dc569"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSGIP5WFS353URD74YRMK4OMSP/bundle.json","state_url":"https://pith.science/pith/VSGIP5WFS353URD74YRMK4OMSP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSGIP5WFS353URD74YRMK4OMSP/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":"2026-06-08T20:25:35Z","links":{"resolver":"https://pith.science/pith/VSGIP5WFS353URD74YRMK4OMSP","bundle":"https://pith.science/pith/VSGIP5WFS353URD74YRMK4OMSP/bundle.json","state":"https://pith.science/pith/VSGIP5WFS353URD74YRMK4OMSP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSGIP5WFS353URD74YRMK4OMSP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VSGIP5WFS353URD74YRMK4OMSP","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":"e616b0d0b8a26e381751fbc5b6a22cf6a09ecf975eb9545c22988936b7e81b51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-23T03:44:18Z","title_canon_sha256":"73ad09d99cb18d27dc098974fe84e609d60662b19d8dfc8e15755e009f8312ac"},"schema_version":"1.0","source":{"id":"1011.4999","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1011.4999","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"1011.4999v1","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4999","created_at":"2026-05-18T04:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"VSGIP5WFS353","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VSGIP5WFS353URD7","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VSGIP5WF","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:3761534f29fd26ff5c551eb5439fa0a628d2f448bb2ecb0945d301bfb03dc569","target":"graph","created_at":"2026-05-18T04:22:40Z","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":"The Galilean Conformal Algebra (GCA) arises in taking the non-relativistic limit of the symmetries of a relativistic Conformal Field Theory in any dimensions. It is known to be infinite-dimensional in all spacetime dimensions. In particular, the 2d GCA emerges out of a scaling limit of linear combinations of two copies of the Virasoro algebra. In this paper, we find metrics in dimensions greater than two which realize the finite 2d GCA (the global part of the infinite algebra) as their isometry by systematically looking at a construction in terms of cosets of this finite algebra. We list all p","authors_text":"Arjun Bagchi, Arnab Kundu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-23T03:44:18Z","title":"Metrics with Galilean Conformal Isometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4999","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":"sha256:668075eedfa22396b6a2f2157de9c662b74346ded38abae49bb6e073843963b6","target":"record","created_at":"2026-05-18T04:22:40Z","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":"e616b0d0b8a26e381751fbc5b6a22cf6a09ecf975eb9545c22988936b7e81b51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-11-23T03:44:18Z","title_canon_sha256":"73ad09d99cb18d27dc098974fe84e609d60662b19d8dfc8e15755e009f8312ac"},"schema_version":"1.0","source":{"id":"1011.4999","kind":"arxiv","version":1}},"canonical_sha256":"ac8c87f6c596fbba447fe622c571cc93e9ea2fed22ff93ebaf16002372a3a100","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac8c87f6c596fbba447fe622c571cc93e9ea2fed22ff93ebaf16002372a3a100","first_computed_at":"2026-05-18T04:22:40.053336Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:40.053336Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Olyuv1T1Pxle1Bc4XFh34VKiSVXfyrOYwVOdTeWaO1Qx0wWhKq5sRvawfa1bsbamiPO3wKG9OR9Nf3tUaRVeBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:40.053896Z","signed_message":"canonical_sha256_bytes"},"source_id":"1011.4999","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:668075eedfa22396b6a2f2157de9c662b74346ded38abae49bb6e073843963b6","sha256:3761534f29fd26ff5c551eb5439fa0a628d2f448bb2ecb0945d301bfb03dc569"],"state_sha256":"def098f48bfb61f985eae2675e57311b1175256a91d5bd542c838d445d846c8b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8+44Lle7ydOODJLm+W/AMAXksuPxMXpKHpsieMsL74w/LzHwemjaurGF+wDcelSTx1zMStcAEIYiBnSvjFqACA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:25:35.794332Z","bundle_sha256":"539d6891411fd26178021ce2e718d212f2a25084c26832b8ecca0824d8e9ac2a"}}