{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:2T23CZJVCO3SE6VONG7XB3XF2N","short_pith_number":"pith:2T23CZJV","canonical_record":{"source":{"id":"hep-th/0110285","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-10-30T22:18:55Z","cross_cats_sorted":["cond-mat","hep-ph"],"title_canon_sha256":"7753b504c4c269db6155cf20a68f9d5fa1a3994937c19dae7717cb778c41b1b0","abstract_canon_sha256":"20116ae84799a2df3e2c929192e2c3e7540eddb08b1fece29964e8885db94b7a"},"schema_version":"1.0"},"canonical_sha256":"d4f5b1653513b7227aae69bf70eee5d34efae3a36c5d45523f1cfd8594af3af5","source":{"kind":"arxiv","id":"hep-th/0110285","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0110285","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0110285v2","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0110285","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_12","alias_value":"2T23CZJVCO3S","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2T23CZJVCO3SE6VO","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2T23CZJV","created_at":"2026-07-04T16:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:2T23CZJVCO3SE6VONG7XB3XF2N","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0110285","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2001-10-30T22:18:55Z","cross_cats_sorted":["cond-mat","hep-ph"],"title_canon_sha256":"7753b504c4c269db6155cf20a68f9d5fa1a3994937c19dae7717cb778c41b1b0","abstract_canon_sha256":"20116ae84799a2df3e2c929192e2c3e7540eddb08b1fece29964e8885db94b7a"},"schema_version":"1.0"},"canonical_sha256":"d4f5b1653513b7227aae69bf70eee5d34efae3a36c5d45523f1cfd8594af3af5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:28:09.146490Z","signature_b64":"2/bf69tM1at20Pls8ncObHNMsSDgBiHj4YclHsFVaE8r3h7ImdK0McHNpNM1fq7BdOTBP/k1brLsHGL8x0ajCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4f5b1653513b7227aae69bf70eee5d34efae3a36c5d45523f1cfd8594af3af5","last_reissued_at":"2026-07-04T16:28:09.146117Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:28:09.146117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0110285","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":"2026-07-04T16:28:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vT3OqgDFsvWo4ct7QQhTvfNYRBF7cMMThwgUqjWS7WkIFS1piGeBVCcdlHNeknxxsf6L3ZPtSCJ/xSc2RqeNDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:07:10.501219Z"},"content_sha256":"f2c67857eaf5904126818ac3685d919926d0361725e6640f4932aa753cad7336","schema_version":"1.0","event_id":"sha256:f2c67857eaf5904126818ac3685d919926d0361725e6640f4932aa753cad7336"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:2T23CZJVCO3SE6VONG7XB3XF2N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem","license":"","headline":"","cross_cats":["cond-mat","hep-ph"],"primary_cat":"hep-th","authors_text":"Aneesh V. Manohar, Ian Low","submitted_at":"2001-10-30T22:18:55Z","abstract_excerpt":"Goldstone's theorem states that there is a massless mode for each broken symmetry generator. It has been known for a long time that the naive generalization of this counting fails to give the correct number of massless modes for spontaneously broken spacetime symmetries. We explain how to get the right count of massless modes in the general case, and discuss examples involving spontaneously broken Poincare and conformal invariance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0110285","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/hep-th/0110285/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":"2026-07-04T16:28:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tCOlmdhbAakEjC2bo9DxWBvmzME72t3cSojJJzpk7YGwT02Gck6cY3HNEe6kU0my/EA4dke2AdqlcqiP2HtbCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:07:10.501994Z"},"content_sha256":"1cab910e6358ffad334465bfbef9c6d4a4f33dba71dfdb2d5f1b73fe3d0119d5","schema_version":"1.0","event_id":"sha256:1cab910e6358ffad334465bfbef9c6d4a4f33dba71dfdb2d5f1b73fe3d0119d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2T23CZJVCO3SE6VONG7XB3XF2N/bundle.json","state_url":"https://pith.science/pith/2T23CZJVCO3SE6VONG7XB3XF2N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2T23CZJVCO3SE6VONG7XB3XF2N/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":"2026-08-03T17:07:10Z","links":{"resolver":"https://pith.science/pith/2T23CZJVCO3SE6VONG7XB3XF2N","bundle":"https://pith.science/pith/2T23CZJVCO3SE6VONG7XB3XF2N/bundle.json","state":"https://pith.science/pith/2T23CZJVCO3SE6VONG7XB3XF2N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2T23CZJVCO3SE6VONG7XB3XF2N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:2T23CZJVCO3SE6VONG7XB3XF2N","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":"20116ae84799a2df3e2c929192e2c3e7540eddb08b1fece29964e8885db94b7a","cross_cats_sorted":["cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-30T22:18:55Z","title_canon_sha256":"7753b504c4c269db6155cf20a68f9d5fa1a3994937c19dae7717cb778c41b1b0"},"schema_version":"1.0","source":{"id":"hep-th/0110285","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0110285","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0110285v2","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0110285","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_12","alias_value":"2T23CZJVCO3S","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"2T23CZJVCO3SE6VO","created_at":"2026-07-04T16:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"2T23CZJV","created_at":"2026-07-04T16:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:1cab910e6358ffad334465bfbef9c6d4a4f33dba71dfdb2d5f1b73fe3d0119d5","target":"graph","created_at":"2026-07-04T16:28:09Z","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/hep-th/0110285/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Goldstone's theorem states that there is a massless mode for each broken symmetry generator. It has been known for a long time that the naive generalization of this counting fails to give the correct number of massless modes for spontaneously broken spacetime symmetries. We explain how to get the right count of massless modes in the general case, and discuss examples involving spontaneously broken Poincare and conformal invariance.","authors_text":"Aneesh V. Manohar, Ian Low","cross_cats":["cond-mat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2001-10-30T22:18:55Z","title":"Spontaneously Broken Spacetime Symmetries and Goldstone's Theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0110285","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:f2c67857eaf5904126818ac3685d919926d0361725e6640f4932aa753cad7336","target":"record","created_at":"2026-07-04T16:28:09Z","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":"20116ae84799a2df3e2c929192e2c3e7540eddb08b1fece29964e8885db94b7a","cross_cats_sorted":["cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2001-10-30T22:18:55Z","title_canon_sha256":"7753b504c4c269db6155cf20a68f9d5fa1a3994937c19dae7717cb778c41b1b0"},"schema_version":"1.0","source":{"id":"hep-th/0110285","kind":"arxiv","version":2}},"canonical_sha256":"d4f5b1653513b7227aae69bf70eee5d34efae3a36c5d45523f1cfd8594af3af5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4f5b1653513b7227aae69bf70eee5d34efae3a36c5d45523f1cfd8594af3af5","first_computed_at":"2026-07-04T16:28:09.146117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:28:09.146117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2/bf69tM1at20Pls8ncObHNMsSDgBiHj4YclHsFVaE8r3h7ImdK0McHNpNM1fq7BdOTBP/k1brLsHGL8x0ajCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:28:09.146490Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0110285","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f2c67857eaf5904126818ac3685d919926d0361725e6640f4932aa753cad7336","sha256:1cab910e6358ffad334465bfbef9c6d4a4f33dba71dfdb2d5f1b73fe3d0119d5"],"state_sha256":"1e3aa71e5c2a392b39a66b106c83fa6241dd620916e4c43cc5c9e4c10a471693"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"onsPkNAfmm/54qnHzf70p5i9aoTsHCliITcWZBIQsPXsoFr76L7S5Li1xQEnanchJkW0HT8Su6K/7zWwS2WDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:07:10.508770Z","bundle_sha256":"719107c2a1b31babc02edefc6c1d9057efed8b7582774af1f0915c22ed68e7cd"}}