{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IFCVVZKLK3UDTC6PRCMQFST5EL","short_pith_number":"pith:IFCVVZKL","canonical_record":{"source":{"id":"1305.0653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-03T09:40:53Z","cross_cats_sorted":[],"title_canon_sha256":"36f25b4934384f88912e5b13cce6fa9b682b0aa38079bfe8651b096a2a50f905","abstract_canon_sha256":"1add5b47c7ee4eed93beb93a095cc2e0211406b8fa085010918cbbe7b6489961"},"schema_version":"1.0"},"canonical_sha256":"41455ae54b56e8398bcf889902ca7d22d7a823d9e66e3b82908d0f7c75a9639d","source":{"kind":"arxiv","id":"1305.0653","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0653","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0653v4","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0653","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"IFCVVZKLK3UD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IFCVVZKLK3UDTC6P","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IFCVVZKL","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IFCVVZKLK3UDTC6PRCMQFST5EL","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-03T09:40:53Z","cross_cats_sorted":[],"title_canon_sha256":"36f25b4934384f88912e5b13cce6fa9b682b0aa38079bfe8651b096a2a50f905","abstract_canon_sha256":"1add5b47c7ee4eed93beb93a095cc2e0211406b8fa085010918cbbe7b6489961"},"schema_version":"1.0"},"canonical_sha256":"41455ae54b56e8398bcf889902ca7d22d7a823d9e66e3b82908d0f7c75a9639d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:12.870405Z","signature_b64":"L7cvGeYob2bmPbTeWXUPwq89bnJy1I+r7t3uEUL2wA3fg35eFUUCEXbSjNsTmKlCyUgV2Pn+8R5zopeVzqB2CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41455ae54b56e8398bcf889902ca7d22d7a823d9e66e3b82908d0f7c75a9639d","last_reissued_at":"2026-05-18T01:50:12.869513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:12.869513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0653","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":"2026-05-18T01:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dzfKQ3fY0gFsKgxHEvfTOuMlY2jw7Dq3QBXCj3YQPcZu2Uz1ZrikT7jsNn4qFHcK6GSsbOCZUUIOr8kFde4BCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:29:35.883764Z"},"content_sha256":"8df252fabaf23fc31f05b0f95f4a6da5dfda05efe3fde9fd6a473eb97b37095b","schema_version":"1.0","event_id":"sha256:8df252fabaf23fc31f05b0f95f4a6da5dfda05efe3fde9fd6a473eb97b37095b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IFCVVZKLK3UDTC6PRCMQFST5EL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Smooth Big Bounce from Affine Quantization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Andrea Dapor, Herve Bergeron, Jean Pierre Gazeau, Przemyslaw Malkiewicz","submitted_at":"2013-05-03T09:40:53Z","abstract_excerpt":"We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider the Robertson-Walker metric coupled to a perfect fluid. It is the simplest model of a gravitational collapse and the results obtained here may serve as a useful starting point for more complex investigations in future. We follow a quantization procedure based on affine coherent states or wavelets built from the unitary irreducible representation of the affine group of the real line with positive dilati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0653","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":""},"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":"2026-05-18T01:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6VgiILB5e5hNsViPK95CGGAIoNNbcn316HzEtmimpShBzF5/tcnfBZCfD8H4Nw8dqTjz1HdQeoBfCGEI6/ZdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:29:35.884111Z"},"content_sha256":"3d91e039e77445763031ab76e1e6d4fe14d642d3225c6c5cf468045d24fe02f9","schema_version":"1.0","event_id":"sha256:3d91e039e77445763031ab76e1e6d4fe14d642d3225c6c5cf468045d24fe02f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/bundle.json","state_url":"https://pith.science/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/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":"2026-05-28T12:29:35Z","links":{"resolver":"https://pith.science/pith/IFCVVZKLK3UDTC6PRCMQFST5EL","bundle":"https://pith.science/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/bundle.json","state":"https://pith.science/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IFCVVZKLK3UDTC6PRCMQFST5EL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IFCVVZKLK3UDTC6PRCMQFST5EL","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":"1add5b47c7ee4eed93beb93a095cc2e0211406b8fa085010918cbbe7b6489961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-03T09:40:53Z","title_canon_sha256":"36f25b4934384f88912e5b13cce6fa9b682b0aa38079bfe8651b096a2a50f905"},"schema_version":"1.0","source":{"id":"1305.0653","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0653","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0653v4","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0653","created_at":"2026-05-18T01:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"IFCVVZKLK3UD","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IFCVVZKLK3UDTC6P","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IFCVVZKL","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:3d91e039e77445763031ab76e1e6d4fe14d642d3225c6c5cf468045d24fe02f9","target":"graph","created_at":"2026-05-18T01:50:12Z","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":"We examine the possibility of dealing with gravitational singularities on a quantum level through the use of coherent state or wavelet quantization instead of canonical quantization. We consider the Robertson-Walker metric coupled to a perfect fluid. It is the simplest model of a gravitational collapse and the results obtained here may serve as a useful starting point for more complex investigations in future. We follow a quantization procedure based on affine coherent states or wavelets built from the unitary irreducible representation of the affine group of the real line with positive dilati","authors_text":"Andrea Dapor, Herve Bergeron, Jean Pierre Gazeau, Przemyslaw Malkiewicz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-03T09:40:53Z","title":"Smooth Big Bounce from Affine Quantization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0653","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":"sha256:8df252fabaf23fc31f05b0f95f4a6da5dfda05efe3fde9fd6a473eb97b37095b","target":"record","created_at":"2026-05-18T01:50:12Z","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":"1add5b47c7ee4eed93beb93a095cc2e0211406b8fa085010918cbbe7b6489961","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-05-03T09:40:53Z","title_canon_sha256":"36f25b4934384f88912e5b13cce6fa9b682b0aa38079bfe8651b096a2a50f905"},"schema_version":"1.0","source":{"id":"1305.0653","kind":"arxiv","version":4}},"canonical_sha256":"41455ae54b56e8398bcf889902ca7d22d7a823d9e66e3b82908d0f7c75a9639d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41455ae54b56e8398bcf889902ca7d22d7a823d9e66e3b82908d0f7c75a9639d","first_computed_at":"2026-05-18T01:50:12.869513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:12.869513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L7cvGeYob2bmPbTeWXUPwq89bnJy1I+r7t3uEUL2wA3fg35eFUUCEXbSjNsTmKlCyUgV2Pn+8R5zopeVzqB2CA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:12.870405Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0653","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8df252fabaf23fc31f05b0f95f4a6da5dfda05efe3fde9fd6a473eb97b37095b","sha256:3d91e039e77445763031ab76e1e6d4fe14d642d3225c6c5cf468045d24fe02f9"],"state_sha256":"268014adfecf2cc483ebb0972bf222ee3996e08064349b2bb5d9af95f5557d92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vM7L4x97QGQgLQt5G6ysDHZLdqCXyeN09uAH7+q2/1ei+NqAtkH2p3rTClq0PLB7U7WgYZW3QhvaL6UMOYm0DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:29:35.886112Z","bundle_sha256":"06ef5e7d6351792c686b7c2bc21fc961f27cc7be1c1235cd716d9661204f40dd"}}