{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1994:XOKQCMH6GPJURU4J4MZK7OL73R","short_pith_number":"pith:XOKQCMH6","canonical_record":{"source":{"id":"gr-qc/9411046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1994-11-17T14:58:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a9e15151c0facfcf6a1fff9eca39458f95f08483f9e60c2078f26d266758ba04","abstract_canon_sha256":"bb10872a08e0b73c74e3b6ec5592bae3d52aa487c7c7c89c1c481acba09efd96"},"schema_version":"1.0"},"canonical_sha256":"bb950130fe33d348d389e332afb97fdc73f66b13dc08d55a44f0a0cd8c0218ab","source":{"kind":"arxiv","id":"gr-qc/9411046","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9411046","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9411046v1","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9411046","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"XOKQCMH6GPJU","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XOKQCMH6GPJURU4J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XOKQCMH6","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1994:XOKQCMH6GPJURU4J4MZK7OL73R","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/9411046","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1994-11-17T14:58:55Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a9e15151c0facfcf6a1fff9eca39458f95f08483f9e60c2078f26d266758ba04","abstract_canon_sha256":"bb10872a08e0b73c74e3b6ec5592bae3d52aa487c7c7c89c1c481acba09efd96"},"schema_version":"1.0"},"canonical_sha256":"bb950130fe33d348d389e332afb97fdc73f66b13dc08d55a44f0a0cd8c0218ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:07.066349Z","signature_b64":"N0LqL2HabDQie0rzvPWPZBOGn+rY5HDhoaE0awE600rudbqzjCXvpwItMlmiK9Fo1+tV2OeMUbfCfCIjuK0hDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb950130fe33d348d389e332afb97fdc73f66b13dc08d55a44f0a0cd8c0218ab","last_reissued_at":"2026-05-18T04:38:07.065927Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:07.065927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/9411046","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":"2026-05-18T04:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GfutSCw3DLac0FgSSWGzgHkBKjy8bh4s5GQ5sJHYmt/2OVdyhwx7pjSh5A/c2sQ4vGhBGofZMOQKP0sCGzWHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:47:21.340153Z"},"content_sha256":"4f72b167108481cbf343ee1c074981ed74cbfa8a58f745f94edef476ab69f06a","schema_version":"1.0","event_id":"sha256:4f72b167108481cbf343ee1c074981ed74cbfa8a58f745f94edef476ab69f06a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1994:XOKQCMH6GPJURU4J4MZK7OL73R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Projective Techniques and Functional Integration","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Abhay Ashtekar, Jerzy lewandowski","submitted_at":"1994-11-17T14:58:55Z","abstract_excerpt":"A general framework for integration over certain infinite dimensional spaces is first developed using projective limits of a projective family of compact Hausdorff spaces. The procedure is then applied to gauge theories to carry out integration over the non-linear, infinite dimensional spaces of connections modulo gauge transformations. This method of evaluating functional integrals can be used either in the Euclidean path integral approach or the Lorentzian canonical approach. A number of measures discussed are diffeomorphism invariant and therefore of interest to (the connection dynamics ver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9411046","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":"2026-05-18T04:38:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLYn93iZyEoSnz/ayDgxfmig+tnl8MFC09w4M511kMryR//gHUYjCuCFaU3oUgNLFKJQPDEVH0SOa4FVGjvGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T13:47:21.340536Z"},"content_sha256":"b8746892a184077303c0c306888dff46219d436efb7c2320684ef72b7d82fe97","schema_version":"1.0","event_id":"sha256:b8746892a184077303c0c306888dff46219d436efb7c2320684ef72b7d82fe97"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XOKQCMH6GPJURU4J4MZK7OL73R/bundle.json","state_url":"https://pith.science/pith/XOKQCMH6GPJURU4J4MZK7OL73R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XOKQCMH6GPJURU4J4MZK7OL73R/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":"2026-05-26T13:47:21Z","links":{"resolver":"https://pith.science/pith/XOKQCMH6GPJURU4J4MZK7OL73R","bundle":"https://pith.science/pith/XOKQCMH6GPJURU4J4MZK7OL73R/bundle.json","state":"https://pith.science/pith/XOKQCMH6GPJURU4J4MZK7OL73R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XOKQCMH6GPJURU4J4MZK7OL73R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:XOKQCMH6GPJURU4J4MZK7OL73R","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":"bb10872a08e0b73c74e3b6ec5592bae3d52aa487c7c7c89c1c481acba09efd96","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1994-11-17T14:58:55Z","title_canon_sha256":"a9e15151c0facfcf6a1fff9eca39458f95f08483f9e60c2078f26d266758ba04"},"schema_version":"1.0","source":{"id":"gr-qc/9411046","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/9411046","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9411046v1","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9411046","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"XOKQCMH6GPJU","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"XOKQCMH6GPJURU4J","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"XOKQCMH6","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:b8746892a184077303c0c306888dff46219d436efb7c2320684ef72b7d82fe97","target":"graph","created_at":"2026-05-18T04:38:07Z","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":"A general framework for integration over certain infinite dimensional spaces is first developed using projective limits of a projective family of compact Hausdorff spaces. The procedure is then applied to gauge theories to carry out integration over the non-linear, infinite dimensional spaces of connections modulo gauge transformations. This method of evaluating functional integrals can be used either in the Euclidean path integral approach or the Lorentzian canonical approach. A number of measures discussed are diffeomorphism invariant and therefore of interest to (the connection dynamics ver","authors_text":"Abhay Ashtekar, Jerzy lewandowski","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"1994-11-17T14:58:55Z","title":"Projective Techniques and Functional Integration"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9411046","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":"sha256:4f72b167108481cbf343ee1c074981ed74cbfa8a58f745f94edef476ab69f06a","target":"record","created_at":"2026-05-18T04:38:07Z","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":"bb10872a08e0b73c74e3b6ec5592bae3d52aa487c7c7c89c1c481acba09efd96","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"gr-qc","submitted_at":"1994-11-17T14:58:55Z","title_canon_sha256":"a9e15151c0facfcf6a1fff9eca39458f95f08483f9e60c2078f26d266758ba04"},"schema_version":"1.0","source":{"id":"gr-qc/9411046","kind":"arxiv","version":1}},"canonical_sha256":"bb950130fe33d348d389e332afb97fdc73f66b13dc08d55a44f0a0cd8c0218ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb950130fe33d348d389e332afb97fdc73f66b13dc08d55a44f0a0cd8c0218ab","first_computed_at":"2026-05-18T04:38:07.065927Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:07.065927Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N0LqL2HabDQie0rzvPWPZBOGn+rY5HDhoaE0awE600rudbqzjCXvpwItMlmiK9Fo1+tV2OeMUbfCfCIjuK0hDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:07.066349Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/9411046","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f72b167108481cbf343ee1c074981ed74cbfa8a58f745f94edef476ab69f06a","sha256:b8746892a184077303c0c306888dff46219d436efb7c2320684ef72b7d82fe97"],"state_sha256":"7b832a9de2fae530511069e9d34b185c8119cd9b0b84a58508c893c61339e644"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vysO3E+aJrNMrd6xgGgxdbzQyGN86vJgvnj536lU0J0Unz8Vi24uZj2HJdmFX8BbywpUJ4J90N6lCbB/1V8FBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T13:47:21.343252Z","bundle_sha256":"5b4e9f2042e98030c9a73bfb322fd9768ad1e9a881cab367563b9e5c257bc5cf"}}