{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:NCDS63RPBIDNOFSLQZV5MEKB4L","short_pith_number":"pith:NCDS63RP","canonical_record":{"source":{"id":"2605.26724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-05-26T09:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"9d93cad0085d20c4c8dcdfdb50211d881d1d45c79c422fc659c9b84b0129fe35","abstract_canon_sha256":"846b0f98f97c0f49d9f0b7d669ea07580b9a2d96de7317676c651f3f1b7285a9"},"schema_version":"1.0"},"canonical_sha256":"68872f6e2f0a06d7164b866bd61141e2f6361373d537f11ac3e8c32b15c2fee7","source":{"kind":"arxiv","id":"2605.26724","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.26724","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.26724v1","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26724","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"NCDS63RPBIDN","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_16","alias_value":"NCDS63RPBIDNOFSL","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_8","alias_value":"NCDS63RP","created_at":"2026-05-27T01:06:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:NCDS63RPBIDNOFSLQZV5MEKB4L","target":"record","payload":{"canonical_record":{"source":{"id":"2605.26724","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-05-26T09:04:49Z","cross_cats_sorted":[],"title_canon_sha256":"9d93cad0085d20c4c8dcdfdb50211d881d1d45c79c422fc659c9b84b0129fe35","abstract_canon_sha256":"846b0f98f97c0f49d9f0b7d669ea07580b9a2d96de7317676c651f3f1b7285a9"},"schema_version":"1.0"},"canonical_sha256":"68872f6e2f0a06d7164b866bd61141e2f6361373d537f11ac3e8c32b15c2fee7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-27T01:06:09.340618Z","signature_b64":"DyXmZ30YwqnMQKoLRcRhxfl64jtC5qHYWHri5HXuMS34tLV+CRSN9kQCPS7TSHGXtL9i8celzQUag2NbpwlsCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68872f6e2f0a06d7164b866bd61141e2f6361373d537f11ac3e8c32b15c2fee7","last_reissued_at":"2026-05-27T01:06:09.339876Z","signature_status":"signed_v1","first_computed_at":"2026-05-27T01:06:09.339876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.26724","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":"2026-05-27T01:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VmmL/nmwFJlkqFveXvNAMSbBcNlfynpkoknJEIdefroVqR3heTUtLY7ttokxcxTWoxwsSRxJHZVaLDeB3R4JAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:18:59.757753Z"},"content_sha256":"1177c6dc1e7e8e38e89102458661f99557f5741e13f0474dc8039c05a3035985","schema_version":"1.0","event_id":"sha256:1177c6dc1e7e8e38e89102458661f99557f5741e13f0474dc8039c05a3035985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:NCDS63RPBIDNOFSLQZV5MEKB4L","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revealing the Two-Fold Ambiguity: Tau Momentum Reconstruction and Its Impact on Entanglement Observables","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jianyong Zhang, Xiang Zhou, Xiaohu Mo, Xia Wan, Youkai Wang","submitted_at":"2026-05-26T09:04:49Z","abstract_excerpt":"The neutrinos produced in $\\tau$ decays cannot be directly detected, making the reconstruction of $\\tau$ kinematics challenging and affecting measurements of quantum correlations such as spin entanglement. For the process $e^+e^- \\to \\tau^+\\tau^- \\to \\pi^+ \\bar{\\nu}_\\tau\\pi^-\\nu_\\tau$, the kinematic constraints allow the $\\tau$ momenta to be reconstructed up to a well-known two-fold ambiguity, regardless of the presence of an intermediate resonance state. In this paper, we present a geometric interpretation of this ambiguity and propose a numerical reconstruction method based on singular value"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26724","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.26724/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":"2026-05-27T01:06:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ip7MOAu6lnImdozliRgEP39uP1G6AoNKv3fYz8nMcY0ivNRcNhFt3OUtPk8wL9B9WVhRWolc2pU9eM6A3gECCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:18:59.758136Z"},"content_sha256":"fd9c1ef03658651aaafb8c6ecc4360f7810a64ae725d2bec68696a98beec1598","schema_version":"1.0","event_id":"sha256:fd9c1ef03658651aaafb8c6ecc4360f7810a64ae725d2bec68696a98beec1598"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/bundle.json","state_url":"https://pith.science/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/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":"2026-06-01T06:18:59Z","links":{"resolver":"https://pith.science/pith/NCDS63RPBIDNOFSLQZV5MEKB4L","bundle":"https://pith.science/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/bundle.json","state":"https://pith.science/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NCDS63RPBIDNOFSLQZV5MEKB4L/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:NCDS63RPBIDNOFSLQZV5MEKB4L","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":"846b0f98f97c0f49d9f0b7d669ea07580b9a2d96de7317676c651f3f1b7285a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-05-26T09:04:49Z","title_canon_sha256":"9d93cad0085d20c4c8dcdfdb50211d881d1d45c79c422fc659c9b84b0129fe35"},"schema_version":"1.0","source":{"id":"2605.26724","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.26724","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"arxiv_version","alias_value":"2605.26724v1","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.26724","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_12","alias_value":"NCDS63RPBIDN","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_16","alias_value":"NCDS63RPBIDNOFSL","created_at":"2026-05-27T01:06:09Z"},{"alias_kind":"pith_short_8","alias_value":"NCDS63RP","created_at":"2026-05-27T01:06:09Z"}],"graph_snapshots":[{"event_id":"sha256:fd9c1ef03658651aaafb8c6ecc4360f7810a64ae725d2bec68696a98beec1598","target":"graph","created_at":"2026-05-27T01:06:09Z","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/2605.26724/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The neutrinos produced in $\\tau$ decays cannot be directly detected, making the reconstruction of $\\tau$ kinematics challenging and affecting measurements of quantum correlations such as spin entanglement. For the process $e^+e^- \\to \\tau^+\\tau^- \\to \\pi^+ \\bar{\\nu}_\\tau\\pi^-\\nu_\\tau$, the kinematic constraints allow the $\\tau$ momenta to be reconstructed up to a well-known two-fold ambiguity, regardless of the presence of an intermediate resonance state. In this paper, we present a geometric interpretation of this ambiguity and propose a numerical reconstruction method based on singular value","authors_text":"Jianyong Zhang, Xiang Zhou, Xiaohu Mo, Xia Wan, Youkai Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-05-26T09:04:49Z","title":"Revealing the Two-Fold Ambiguity: Tau Momentum Reconstruction and Its Impact on Entanglement Observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.26724","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":"sha256:1177c6dc1e7e8e38e89102458661f99557f5741e13f0474dc8039c05a3035985","target":"record","created_at":"2026-05-27T01:06:09Z","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":"846b0f98f97c0f49d9f0b7d669ea07580b9a2d96de7317676c651f3f1b7285a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-05-26T09:04:49Z","title_canon_sha256":"9d93cad0085d20c4c8dcdfdb50211d881d1d45c79c422fc659c9b84b0129fe35"},"schema_version":"1.0","source":{"id":"2605.26724","kind":"arxiv","version":1}},"canonical_sha256":"68872f6e2f0a06d7164b866bd61141e2f6361373d537f11ac3e8c32b15c2fee7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68872f6e2f0a06d7164b866bd61141e2f6361373d537f11ac3e8c32b15c2fee7","first_computed_at":"2026-05-27T01:06:09.339876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-27T01:06:09.339876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DyXmZ30YwqnMQKoLRcRhxfl64jtC5qHYWHri5HXuMS34tLV+CRSN9kQCPS7TSHGXtL9i8celzQUag2NbpwlsCQ==","signature_status":"signed_v1","signed_at":"2026-05-27T01:06:09.340618Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.26724","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1177c6dc1e7e8e38e89102458661f99557f5741e13f0474dc8039c05a3035985","sha256:fd9c1ef03658651aaafb8c6ecc4360f7810a64ae725d2bec68696a98beec1598"],"state_sha256":"547b68527e82878ce3b9a96300fc669960729503ac9a4e29458ddb3eca8cd1cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CF8NwTA3Ock/gCosW4SxSbBvdaQQbCPqMPTHaHux2a5EIieLUN8/RGeLb+a+TowTaWEXbK+5P1OR+efBrED0Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:18:59.760262Z","bundle_sha256":"80ec5b24137de63e6bcb21bcec63c3f7ae9c6e993f0b1e53d75904427b6ed945"}}