{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:UDQE3TYE3LVNGL4WKSRWVHCN3M","short_pith_number":"pith:UDQE3TYE","canonical_record":{"source":{"id":"math-ph/0103040","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2001-03-28T15:25:43Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"26f5c5154f0e304a989bd25659879f34cf1a7d5fcc51f79a1b376d007d1cf87a","abstract_canon_sha256":"c744b29f9c7f796ae2e4e8ffc99054d0e053eeff9975a21dbb6b855e996fb8b3"},"schema_version":"1.0"},"canonical_sha256":"a0e04dcf04daead32f9654a36a9c4ddb25fb79b399b4a5af81dd8954186e64ce","source":{"kind":"arxiv","id":"math-ph/0103040","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0103040","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0103040v1","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0103040","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"UDQE3TYE3LVN","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"UDQE3TYE3LVNGL4W","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"UDQE3TYE","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:UDQE3TYE3LVNGL4WKSRWVHCN3M","target":"record","payload":{"canonical_record":{"source":{"id":"math-ph/0103040","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2001-03-28T15:25:43Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"26f5c5154f0e304a989bd25659879f34cf1a7d5fcc51f79a1b376d007d1cf87a","abstract_canon_sha256":"c744b29f9c7f796ae2e4e8ffc99054d0e053eeff9975a21dbb6b855e996fb8b3"},"schema_version":"1.0"},"canonical_sha256":"a0e04dcf04daead32f9654a36a9c4ddb25fb79b399b4a5af81dd8954186e64ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:34.504918Z","signature_b64":"GzpDTe5Gbp806IpYE0Y/mgn+qtjcU5a7rfUpJEoolAAHQEoOB9QV9RB1+Z5I/+nce/ER5bjQW6+F4G1StKjoAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0e04dcf04daead32f9654a36a9c4ddb25fb79b399b4a5af81dd8954186e64ce","last_reissued_at":"2026-05-18T01:38:34.504369Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:34.504369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math-ph/0103040","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":"2026-05-18T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uZUoSDqyU9cY7keobPOzrzTebt4TQmBrsQeKeQxHD7OZAL8/deqOqXTYnJqHwifc8z1aqf8WAvju1pnDwaKtAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:16:30.800565Z"},"content_sha256":"68526f3e35b40d0f788cc865fcfc01eb80a5c8d66da4fc4730cd715303b40ba0","schema_version":"1.0","event_id":"sha256:68526f3e35b40d0f788cc865fcfc01eb80a5c8d66da4fc4730cd715303b40ba0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:UDQE3TYE3LVNGL4WKSRWVHCN3M","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Global time asymmetry as a consequence of a wave packets theorem","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Adolfo Ordoniez, Jorge Gueron, Mario A. Castagnino","submitted_at":"2001-03-28T15:25:43Z","abstract_excerpt":"When $t\\to \\infty $ any wave packet in the liouvillian representation of the density matrices, becomes a Hardy class function from below. This fact, in the global frame of Reichenbach diagram, is used to explain the observed global time asymmetry of the universe."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0103040","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":"2026-05-18T01:38:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7IOkBn2p0oFSAfGrVsRHWBuF5pXdSfp4fkAkRYZDVv/8bR9qn6jlv2hk0Af5ZtmcvwFMY38LQ8+tLVHcnaQHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T23:16:30.800908Z"},"content_sha256":"63aa4061c377571b5fb7e82ed6ea967eb49a2a0e7d07803e6f27b05921335df1","schema_version":"1.0","event_id":"sha256:63aa4061c377571b5fb7e82ed6ea967eb49a2a0e7d07803e6f27b05921335df1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/bundle.json","state_url":"https://pith.science/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/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":"2026-06-20T23:16:30Z","links":{"resolver":"https://pith.science/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M","bundle":"https://pith.science/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/bundle.json","state":"https://pith.science/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDQE3TYE3LVNGL4WKSRWVHCN3M/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:UDQE3TYE3LVNGL4WKSRWVHCN3M","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":"c744b29f9c7f796ae2e4e8ffc99054d0e053eeff9975a21dbb6b855e996fb8b3","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2001-03-28T15:25:43Z","title_canon_sha256":"26f5c5154f0e304a989bd25659879f34cf1a7d5fcc51f79a1b376d007d1cf87a"},"schema_version":"1.0","source":{"id":"math-ph/0103040","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0103040","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0103040v1","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0103040","created_at":"2026-05-18T01:38:34Z"},{"alias_kind":"pith_short_12","alias_value":"UDQE3TYE3LVN","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"UDQE3TYE3LVNGL4W","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"UDQE3TYE","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:63aa4061c377571b5fb7e82ed6ea967eb49a2a0e7d07803e6f27b05921335df1","target":"graph","created_at":"2026-05-18T01:38:34Z","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":"When $t\\to \\infty $ any wave packet in the liouvillian representation of the density matrices, becomes a Hardy class function from below. This fact, in the global frame of Reichenbach diagram, is used to explain the observed global time asymmetry of the universe.","authors_text":"Adolfo Ordoniez, Jorge Gueron, Mario A. Castagnino","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2001-03-28T15:25:43Z","title":"Global time asymmetry as a consequence of a wave packets theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0103040","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":"sha256:68526f3e35b40d0f788cc865fcfc01eb80a5c8d66da4fc4730cd715303b40ba0","target":"record","created_at":"2026-05-18T01:38:34Z","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":"c744b29f9c7f796ae2e4e8ffc99054d0e053eeff9975a21dbb6b855e996fb8b3","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2001-03-28T15:25:43Z","title_canon_sha256":"26f5c5154f0e304a989bd25659879f34cf1a7d5fcc51f79a1b376d007d1cf87a"},"schema_version":"1.0","source":{"id":"math-ph/0103040","kind":"arxiv","version":1}},"canonical_sha256":"a0e04dcf04daead32f9654a36a9c4ddb25fb79b399b4a5af81dd8954186e64ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0e04dcf04daead32f9654a36a9c4ddb25fb79b399b4a5af81dd8954186e64ce","first_computed_at":"2026-05-18T01:38:34.504369Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:34.504369Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GzpDTe5Gbp806IpYE0Y/mgn+qtjcU5a7rfUpJEoolAAHQEoOB9QV9RB1+Z5I/+nce/ER5bjQW6+F4G1StKjoAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:34.504918Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0103040","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68526f3e35b40d0f788cc865fcfc01eb80a5c8d66da4fc4730cd715303b40ba0","sha256:63aa4061c377571b5fb7e82ed6ea967eb49a2a0e7d07803e6f27b05921335df1"],"state_sha256":"50bdfdbd16580bc3b6b282eabe93df7ab2bf8b899cf3bc35845daa15afb3cc56"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9i8EleIyNdCYTvGiMJ62kXBNrxZfT5ta4GXjv0iRG/YsPV8jzoOOsV5Ui/UaBNyzEeiZEFZVmxvfeOWvxXlgCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T23:16:30.802880Z","bundle_sha256":"c3591d531497bd42ab2cf6d22c9578b56fa7a9e7ac0b71d01db3360ad925ddfe"}}