{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:7C5W3IUKEAI53X75LXVDR7NXNT","short_pith_number":"pith:7C5W3IUK","canonical_record":{"source":{"id":"2207.01474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-04T15:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"bea7a92a53302504d33a0d85043fd947aee490e33c5214114fdf39513c08e4f5","abstract_canon_sha256":"108ba422b3b23f9b500a111a8cdfb02cc4f9b12219e844c1aad4a8bdc9613b32"},"schema_version":"1.0"},"canonical_sha256":"f8bb6da28a2011dddffd5dea38fdb76cc0ea252895bcce23e6816cf4d9d5ba20","source":{"kind":"arxiv","id":"2207.01474","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01474","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01474v1","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01474","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"7C5W3IUKEAI5","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"7C5W3IUKEAI53X75","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"7C5W3IUK","created_at":"2026-07-05T05:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:7C5W3IUKEAI53X75LXVDR7NXNT","target":"record","payload":{"canonical_record":{"source":{"id":"2207.01474","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-04T15:08:51Z","cross_cats_sorted":[],"title_canon_sha256":"bea7a92a53302504d33a0d85043fd947aee490e33c5214114fdf39513c08e4f5","abstract_canon_sha256":"108ba422b3b23f9b500a111a8cdfb02cc4f9b12219e844c1aad4a8bdc9613b32"},"schema_version":"1.0"},"canonical_sha256":"f8bb6da28a2011dddffd5dea38fdb76cc0ea252895bcce23e6816cf4d9d5ba20","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:26:44.567960Z","signature_b64":"manGRPm5UnL9Wh9+H2PNXVLG45QPvUuZWvaKa0T0MTYElrD45MtEiNxPqWYvijeDD96Fn4zuW9dPBqwdTAnRAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8bb6da28a2011dddffd5dea38fdb76cc0ea252895bcce23e6816cf4d9d5ba20","last_reissued_at":"2026-07-05T05:26:44.567524Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:26:44.567524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2207.01474","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":"2026-07-05T05:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vTxYRV23WXy6xdiiMuzJ1CavnyPt4LR71S8VqXj5Hdg3zG+gz1yHGG99Qy3SEYX4rQsRz3Z8uAAEsuTuYSufCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:41:53.303004Z"},"content_sha256":"86e2411b6f63c104d5d27bcc6b6eb7a9d87742d15ca37b1314b784c911237451","schema_version":"1.0","event_id":"sha256:86e2411b6f63c104d5d27bcc6b6eb7a9d87742d15ca37b1314b784c911237451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:7C5W3IUKEAI53X75LXVDR7NXNT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Galilean Conformal Bootstrap II: $\\xi=0$ sector","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Bin Chen, Peng-Xiang Hao, Reiko Liu, Zhe-fei Yu","submitted_at":"2022-07-04T15:08:51Z","abstract_excerpt":"In this work, we continue our work on two dimensional Galilean conformal field theory (GCFT$_2$). Our previous work (arXiv:2011.11092) focused on the $\\xi\\neq 0$ sector, here we investigate the more subtle $\\xi=0$ sector to complete the discussion. The case $\\xi=0$ is degenerate since there emerge interesting null states in a general $\\xi=0$ boost multiplet. We specify these null states and work out the resulting selection rules. Then, we compute the $\\xi=0$ global GCA blocks and find that they can be written as a linear combination of several building blocks, each of which can be obtained fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01474","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/2207.01474/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":"2026-07-05T05:26:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gy4gyq1grFvgOG9MBVDFi8K2sNgYA4XDnnqCFmZcjKQtG1oynsILc6jo9aWpDLj4fIxCFU/PVLQQt8l4Z4sQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:41:53.303484Z"},"content_sha256":"ea264135a023a01e648edb9b0616924df5a792325da6b5151edac311343ff30c","schema_version":"1.0","event_id":"sha256:ea264135a023a01e648edb9b0616924df5a792325da6b5151edac311343ff30c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7C5W3IUKEAI53X75LXVDR7NXNT/bundle.json","state_url":"https://pith.science/pith/7C5W3IUKEAI53X75LXVDR7NXNT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7C5W3IUKEAI53X75LXVDR7NXNT/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":"2026-08-08T09:41:53Z","links":{"resolver":"https://pith.science/pith/7C5W3IUKEAI53X75LXVDR7NXNT","bundle":"https://pith.science/pith/7C5W3IUKEAI53X75LXVDR7NXNT/bundle.json","state":"https://pith.science/pith/7C5W3IUKEAI53X75LXVDR7NXNT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7C5W3IUKEAI53X75LXVDR7NXNT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:7C5W3IUKEAI53X75LXVDR7NXNT","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":"108ba422b3b23f9b500a111a8cdfb02cc4f9b12219e844c1aad4a8bdc9613b32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-04T15:08:51Z","title_canon_sha256":"bea7a92a53302504d33a0d85043fd947aee490e33c5214114fdf39513c08e4f5"},"schema_version":"1.0","source":{"id":"2207.01474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2207.01474","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"arxiv_version","alias_value":"2207.01474v1","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2207.01474","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_12","alias_value":"7C5W3IUKEAI5","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"7C5W3IUKEAI53X75","created_at":"2026-07-05T05:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"7C5W3IUK","created_at":"2026-07-05T05:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:ea264135a023a01e648edb9b0616924df5a792325da6b5151edac311343ff30c","target":"graph","created_at":"2026-07-05T05:26:44Z","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/2207.01474/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work, we continue our work on two dimensional Galilean conformal field theory (GCFT$_2$). Our previous work (arXiv:2011.11092) focused on the $\\xi\\neq 0$ sector, here we investigate the more subtle $\\xi=0$ sector to complete the discussion. The case $\\xi=0$ is degenerate since there emerge interesting null states in a general $\\xi=0$ boost multiplet. We specify these null states and work out the resulting selection rules. Then, we compute the $\\xi=0$ global GCA blocks and find that they can be written as a linear combination of several building blocks, each of which can be obtained fro","authors_text":"Bin Chen, Peng-Xiang Hao, Reiko Liu, Zhe-fei Yu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-04T15:08:51Z","title":"On Galilean Conformal Bootstrap II: $\\xi=0$ sector"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2207.01474","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":"sha256:86e2411b6f63c104d5d27bcc6b6eb7a9d87742d15ca37b1314b784c911237451","target":"record","created_at":"2026-07-05T05:26:44Z","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":"108ba422b3b23f9b500a111a8cdfb02cc4f9b12219e844c1aad4a8bdc9613b32","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-07-04T15:08:51Z","title_canon_sha256":"bea7a92a53302504d33a0d85043fd947aee490e33c5214114fdf39513c08e4f5"},"schema_version":"1.0","source":{"id":"2207.01474","kind":"arxiv","version":1}},"canonical_sha256":"f8bb6da28a2011dddffd5dea38fdb76cc0ea252895bcce23e6816cf4d9d5ba20","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8bb6da28a2011dddffd5dea38fdb76cc0ea252895bcce23e6816cf4d9d5ba20","first_computed_at":"2026-07-05T05:26:44.567524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:26:44.567524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"manGRPm5UnL9Wh9+H2PNXVLG45QPvUuZWvaKa0T0MTYElrD45MtEiNxPqWYvijeDD96Fn4zuW9dPBqwdTAnRAw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:26:44.567960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2207.01474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86e2411b6f63c104d5d27bcc6b6eb7a9d87742d15ca37b1314b784c911237451","sha256:ea264135a023a01e648edb9b0616924df5a792325da6b5151edac311343ff30c"],"state_sha256":"c447d6145ca88ce6b9e4c9a17ccc4c3208ed17938a3aa92e3bf16bacaddf1917"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RNsk1f0U5cdfRgyZ0qMcjRoi/SHpvFWOkhnqefeuXtZSo0TGGuEzoZJTpcRkdlwqQpLztitbUmt8q4g23Lo9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:41:53.306632Z","bundle_sha256":"e3c0ddff2df43f8abcd86f77f5241ca382651e7c33bf8f96b98d63b2f7a0fc2c"}}