{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IZ4FLFX3VNI6XI7YCBT63P4F5S","short_pith_number":"pith:IZ4FLFX3","canonical_record":{"source":{"id":"1503.01507","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-05T01:24:51Z","cross_cats_sorted":[],"title_canon_sha256":"7b3fe83772b9488ba124da0506d38d86f982d6f95d227c46979b3e6cd8d7411d","abstract_canon_sha256":"53b2d1b5620e4a18e30e290f0bbe4741d1dd309cb6d83ce7edced70bd0c28737"},"schema_version":"1.0"},"canonical_sha256":"46785596fbab51eba3f81067edbf85ec933d04e5b7dd26bda925059960cbf6c4","source":{"kind":"arxiv","id":"1503.01507","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01507","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01507v3","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01507","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"IZ4FLFX3VNI6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZ4FLFX3VNI6XI7Y","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZ4FLFX3","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IZ4FLFX3VNI6XI7YCBT63P4F5S","target":"record","payload":{"canonical_record":{"source":{"id":"1503.01507","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-05T01:24:51Z","cross_cats_sorted":[],"title_canon_sha256":"7b3fe83772b9488ba124da0506d38d86f982d6f95d227c46979b3e6cd8d7411d","abstract_canon_sha256":"53b2d1b5620e4a18e30e290f0bbe4741d1dd309cb6d83ce7edced70bd0c28737"},"schema_version":"1.0"},"canonical_sha256":"46785596fbab51eba3f81067edbf85ec933d04e5b7dd26bda925059960cbf6c4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:51.143994Z","signature_b64":"06s8vnojwRrWFGm0qE/n7dCfy81l/38l9PQ+CAhvPtniP3ttMyRObUWGWhocBkV4vXl/Tkt1FsRQ5SfQWCr9Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46785596fbab51eba3f81067edbf85ec933d04e5b7dd26bda925059960cbf6c4","last_reissued_at":"2026-05-18T01:16:51.143303Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:51.143303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1503.01507","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lm02gu5u8ZkvFIavxWS1uyIlEnObYfkT7eJ7UuGAS+64OPqE/NMk2kx9Y5poPfMd/let3a7HSP+gvdigsDyHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:45:03.559035Z"},"content_sha256":"b8836654acd3a6a7f82ee438d9b7b50270393ec2bf574cac2fa818e7bce351d0","schema_version":"1.0","event_id":"sha256:b8836654acd3a6a7f82ee438d9b7b50270393ec2bf574cac2fa818e7bce351d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IZ4FLFX3VNI6XI7YCBT63P4F5S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Configuration Spaces in Fundamental Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Edward Anderson","submitted_at":"2015-03-05T01:24:51Z","abstract_excerpt":"I consider configuration spaces for $N$-body problems, gauge theories and for GR in both geometrodynamical and Ashtekar variables forms, including minisuperspace and inhomogeneous perturbations thereabout in the former case. These examples include many interesting spaces of shapes (with and without whichever of local or global notions of scale). In considering reduced configuration spaces, stratified manifolds arise. Three strategies to deal with these are `excise', `unfold' and `accept'. I show that spaces of triangles arising from various interpretations of 3-body problems already serve as m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01507","kind":"arxiv","version":3},"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":"2026-05-18T01:16:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rk0DaY16REnSOMd7zj0kkkui9dAk/j8ikGjSLoLKTN6z0nXDkFlHRMFU5X4xfqRLN2TIlORY4gRk6wW5otxOAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T06:45:03.559482Z"},"content_sha256":"ee109e3d26e7a460e0908172c2d9b0ee6ca422fc0abb0398538dbdd9355cf899","schema_version":"1.0","event_id":"sha256:ee109e3d26e7a460e0908172c2d9b0ee6ca422fc0abb0398538dbdd9355cf899"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/bundle.json","state_url":"https://pith.science/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/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":"2026-08-22T06:45:03Z","links":{"resolver":"https://pith.science/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S","bundle":"https://pith.science/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/bundle.json","state":"https://pith.science/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZ4FLFX3VNI6XI7YCBT63P4F5S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IZ4FLFX3VNI6XI7YCBT63P4F5S","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":"53b2d1b5620e4a18e30e290f0bbe4741d1dd309cb6d83ce7edced70bd0c28737","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-05T01:24:51Z","title_canon_sha256":"7b3fe83772b9488ba124da0506d38d86f982d6f95d227c46979b3e6cd8d7411d"},"schema_version":"1.0","source":{"id":"1503.01507","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01507","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01507v3","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01507","created_at":"2026-05-18T01:16:51Z"},{"alias_kind":"pith_short_12","alias_value":"IZ4FLFX3VNI6","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZ4FLFX3VNI6XI7Y","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZ4FLFX3","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:ee109e3d26e7a460e0908172c2d9b0ee6ca422fc0abb0398538dbdd9355cf899","target":"graph","created_at":"2026-05-18T01:16:51Z","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":"I consider configuration spaces for $N$-body problems, gauge theories and for GR in both geometrodynamical and Ashtekar variables forms, including minisuperspace and inhomogeneous perturbations thereabout in the former case. These examples include many interesting spaces of shapes (with and without whichever of local or global notions of scale). In considering reduced configuration spaces, stratified manifolds arise. Three strategies to deal with these are `excise', `unfold' and `accept'. I show that spaces of triangles arising from various interpretations of 3-body problems already serve as m","authors_text":"Edward Anderson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-05T01:24:51Z","title":"Configuration Spaces in Fundamental Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01507","kind":"arxiv","version":3},"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:b8836654acd3a6a7f82ee438d9b7b50270393ec2bf574cac2fa818e7bce351d0","target":"record","created_at":"2026-05-18T01:16:51Z","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":"53b2d1b5620e4a18e30e290f0bbe4741d1dd309cb6d83ce7edced70bd0c28737","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-05T01:24:51Z","title_canon_sha256":"7b3fe83772b9488ba124da0506d38d86f982d6f95d227c46979b3e6cd8d7411d"},"schema_version":"1.0","source":{"id":"1503.01507","kind":"arxiv","version":3}},"canonical_sha256":"46785596fbab51eba3f81067edbf85ec933d04e5b7dd26bda925059960cbf6c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46785596fbab51eba3f81067edbf85ec933d04e5b7dd26bda925059960cbf6c4","first_computed_at":"2026-05-18T01:16:51.143303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:51.143303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"06s8vnojwRrWFGm0qE/n7dCfy81l/38l9PQ+CAhvPtniP3ttMyRObUWGWhocBkV4vXl/Tkt1FsRQ5SfQWCr9Bw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:51.143994Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01507","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8836654acd3a6a7f82ee438d9b7b50270393ec2bf574cac2fa818e7bce351d0","sha256:ee109e3d26e7a460e0908172c2d9b0ee6ca422fc0abb0398538dbdd9355cf899"],"state_sha256":"2af04806974c06926d378bdbd75021827ff8410d70a071400c43eac715496a8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RtpFq6ZvUO3yMcUYDCEjPaZpVBI4eZCVO8h6T2foO+wXO1bfL/AqK9onQpNhrIoU0b6jptKbJ7aOvVA7YcT8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T06:45:03.564339Z","bundle_sha256":"711a89e3a43f0ada057c59f226b6e4b243cd445be0cb80b2b1ce622591310401"}}