{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:G2PYOMGA23UGTKBLPMRQE6LCNE","short_pith_number":"pith:G2PYOMGA","canonical_record":{"source":{"id":"2304.04056","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-08T15:54:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5d1253004c45c052f0e2617a50866d9b87001808ad65287e7967155e8e5cdcf2","abstract_canon_sha256":"241cf7343db6e8f7250adacb1c4dcda68a98a645caec35a62512e5eb45ce34b9"},"schema_version":"1.0"},"canonical_sha256":"369f8730c0d6e869a82b7b23027962693d8439180e9f62bf7df46200085b69eb","source":{"kind":"arxiv","id":"2304.04056","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.04056","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"arxiv_version","alias_value":"2304.04056v4","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.04056","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_12","alias_value":"G2PYOMGA23UG","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"G2PYOMGA23UGTKBL","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"G2PYOMGA","created_at":"2026-07-05T06:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:G2PYOMGA23UGTKBLPMRQE6LCNE","target":"record","payload":{"canonical_record":{"source":{"id":"2304.04056","kind":"arxiv","version":4},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-08T15:54:34Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"5d1253004c45c052f0e2617a50866d9b87001808ad65287e7967155e8e5cdcf2","abstract_canon_sha256":"241cf7343db6e8f7250adacb1c4dcda68a98a645caec35a62512e5eb45ce34b9"},"schema_version":"1.0"},"canonical_sha256":"369f8730c0d6e869a82b7b23027962693d8439180e9f62bf7df46200085b69eb","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:26:47.733700Z","signature_b64":"/CZCIfsfzpETrlXJq19pUMB75hAqoqELF+uARHWiTockSLb8p6qh37OVFCeYiCRStDczZIBCyHst6YJ7uA9yBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"369f8730c0d6e869a82b7b23027962693d8439180e9f62bf7df46200085b69eb","last_reissued_at":"2026-07-05T06:26:47.733203Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:26:47.733203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2304.04056","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:26:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2njM6MxHnTx8+lOryB9jOmp478W2mzkPG5Bwtm/8rIT0tLaG4IXjodrPVpEvD+EVKjdNYWgN7RH5X7ducJ8nAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T15:48:30.987712Z"},"content_sha256":"2bb30f2f91cf11fc314067c30e0fa8fa559ecc6c62dcda6039fd6569d1b8580d","schema_version":"1.0","event_id":"sha256:2bb30f2f91cf11fc314067c30e0fa8fa559ecc6c62dcda6039fd6569d1b8580d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:G2PYOMGA23UGTKBLPMRQE6LCNE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Signed Coordinate Invariance, invariant lagrangians and manifolds, the time problem in quantum cosmology, quantum space time, spacetimes and antispacetimes","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Eduardo Guendelman","submitted_at":"2023-04-08T15:54:34Z","abstract_excerpt":"Standard general coordinate invariance for the volume element is extended to general coordinate transformations that have a negative jacobian. This is possible by introducing a non Riemannian Measure of integration, which transforms according to the jacobian of the coordinate transformation, not the absolute value of the jacobian of the coordinate transformation as it is the case with $\\sqrt{-g}$. For some signed general transformations a change of boundary conditions is involved in GR and restoring the original limits of integrations can restore symmetry of the action. The discussion totally "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.04056","kind":"arxiv","version":4},"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/2304.04056/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":"2026-07-05T06:26:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fvv5d22+N1OdrCCc2Y71ByQeNekcwNXYLJSwkvH75wRzwpbgTM7xt9ifZUyNxdnkHG2ZQ7flqOUX4FiGjzQICw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T15:48:30.988246Z"},"content_sha256":"dc119b4669c1c1557f4f086a865f509fe25b0c0cb8bef66dbead730061f77d59","schema_version":"1.0","event_id":"sha256:dc119b4669c1c1557f4f086a865f509fe25b0c0cb8bef66dbead730061f77d59"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/bundle.json","state_url":"https://pith.science/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/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":"2026-08-07T15:48:31Z","links":{"resolver":"https://pith.science/pith/G2PYOMGA23UGTKBLPMRQE6LCNE","bundle":"https://pith.science/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/bundle.json","state":"https://pith.science/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G2PYOMGA23UGTKBLPMRQE6LCNE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:G2PYOMGA23UGTKBLPMRQE6LCNE","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":"241cf7343db6e8f7250adacb1c4dcda68a98a645caec35a62512e5eb45ce34b9","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-08T15:54:34Z","title_canon_sha256":"5d1253004c45c052f0e2617a50866d9b87001808ad65287e7967155e8e5cdcf2"},"schema_version":"1.0","source":{"id":"2304.04056","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.04056","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"arxiv_version","alias_value":"2304.04056v4","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.04056","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_12","alias_value":"G2PYOMGA23UG","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"G2PYOMGA23UGTKBL","created_at":"2026-07-05T06:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"G2PYOMGA","created_at":"2026-07-05T06:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:dc119b4669c1c1557f4f086a865f509fe25b0c0cb8bef66dbead730061f77d59","target":"graph","created_at":"2026-07-05T06:26:47Z","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/2304.04056/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Standard general coordinate invariance for the volume element is extended to general coordinate transformations that have a negative jacobian. This is possible by introducing a non Riemannian Measure of integration, which transforms according to the jacobian of the coordinate transformation, not the absolute value of the jacobian of the coordinate transformation as it is the case with $\\sqrt{-g}$. For some signed general transformations a change of boundary conditions is involved in GR and restoring the original limits of integrations can restore symmetry of the action. The discussion totally ","authors_text":"Eduardo Guendelman","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-08T15:54:34Z","title":"Signed Coordinate Invariance, invariant lagrangians and manifolds, the time problem in quantum cosmology, quantum space time, spacetimes and antispacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.04056","kind":"arxiv","version":4},"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":"sha256:2bb30f2f91cf11fc314067c30e0fa8fa559ecc6c62dcda6039fd6569d1b8580d","target":"record","created_at":"2026-07-05T06:26:47Z","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":"241cf7343db6e8f7250adacb1c4dcda68a98a645caec35a62512e5eb45ce34b9","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2023-04-08T15:54:34Z","title_canon_sha256":"5d1253004c45c052f0e2617a50866d9b87001808ad65287e7967155e8e5cdcf2"},"schema_version":"1.0","source":{"id":"2304.04056","kind":"arxiv","version":4}},"canonical_sha256":"369f8730c0d6e869a82b7b23027962693d8439180e9f62bf7df46200085b69eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"369f8730c0d6e869a82b7b23027962693d8439180e9f62bf7df46200085b69eb","first_computed_at":"2026-07-05T06:26:47.733203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:26:47.733203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/CZCIfsfzpETrlXJq19pUMB75hAqoqELF+uARHWiTockSLb8p6qh37OVFCeYiCRStDczZIBCyHst6YJ7uA9yBw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:26:47.733700Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.04056","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bb30f2f91cf11fc314067c30e0fa8fa559ecc6c62dcda6039fd6569d1b8580d","sha256:dc119b4669c1c1557f4f086a865f509fe25b0c0cb8bef66dbead730061f77d59"],"state_sha256":"034fc74eb9d6b1863064eadc7006ffadaf218a9bca4e39ec0e3cf9b818216854"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QDMZ4grkQVZoy4u5fJTRw1U7NI0kwZGYFor9E2zWbUWY4ueFZG2CtJu+NdeWv+Y23Akcbp8JEnnu7dEm/o8+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T15:48:31.013210Z","bundle_sha256":"1a887e775c1ebb457a2f7a671e0326e2859b0d15481010290126b5d963afd7b4"}}