{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:5KX5DGJBYUC5VXGRZ55JICVQON","short_pith_number":"pith:5KX5DGJB","canonical_record":{"source":{"id":"1304.2941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-10T12:53:22Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"49fc215d884467bf1f21e8710779893c1fab68e45209ec9251f99f05ec8b5c60","abstract_canon_sha256":"a6e3465d97be62ef2e57ef5e7e02ff06061082002c2467d705df748648f810c3"},"schema_version":"1.0"},"canonical_sha256":"eaafd19921c505dadcd1cf7a940ab07370f4e46d2fda2af621d71b65f2fc8b54","source":{"kind":"arxiv","id":"1304.2941","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2941","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2941v1","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2941","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"pith_short_12","alias_value":"5KX5DGJBYUC5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5KX5DGJBYUC5VXGR","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5KX5DGJB","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:5KX5DGJBYUC5VXGRZ55JICVQON","target":"record","payload":{"canonical_record":{"source":{"id":"1304.2941","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-10T12:53:22Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"49fc215d884467bf1f21e8710779893c1fab68e45209ec9251f99f05ec8b5c60","abstract_canon_sha256":"a6e3465d97be62ef2e57ef5e7e02ff06061082002c2467d705df748648f810c3"},"schema_version":"1.0"},"canonical_sha256":"eaafd19921c505dadcd1cf7a940ab07370f4e46d2fda2af621d71b65f2fc8b54","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:20.406036Z","signature_b64":"kbnCoU852628fUI9kN7+PTiOJ8H8ggUG2z3g5XZ+7JIeVUBeqevrPZz1mCUUqYn69PN56xy3Wr0y8/qho7+PBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaafd19921c505dadcd1cf7a940ab07370f4e46d2fda2af621d71b65f2fc8b54","last_reissued_at":"2026-05-18T03:28:20.405189Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:20.405189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1304.2941","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":"2026-05-18T03:28:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ts9BSb+bpa7+/97SN8N8fePrTnahImbIhbgjW1fiAYalgvEUxvqhelgVVIfyWdy3gGD2BJkJdETByn8siVZBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T12:23:56.377612Z"},"content_sha256":"8caac8d14ecb371151bba673bdbcd9ee6501766c76459e80f0b4252cd49dda4f","schema_version":"1.0","event_id":"sha256:8caac8d14ecb371151bba673bdbcd9ee6501766c76459e80f0b4252cd49dda4f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:5KX5DGJBYUC5VXGRZ55JICVQON","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Very-High-Precision Calculations in Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Amna Noreen","submitted_at":"2013-04-10T12:53:22Z","abstract_excerpt":"This is the introductory part of my Ph.D thesis, defended at the Faculty of Science and Technology, NTNU on December 10, 2012."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2941","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":"2026-05-18T03:28:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NlNymQ6slWsSr25d8EgsBSWnU7w0NOaoYiLZMfH4+iBH/gggwwuhCTK+S24o4FHJyB1KBIXT08tHCUy2Uz5WCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T12:23:56.377944Z"},"content_sha256":"b8e9c70ab62cbc405b3f19af418ba9e580f36d4aed0ffe49d1fc7922c47cac0e","schema_version":"1.0","event_id":"sha256:b8e9c70ab62cbc405b3f19af418ba9e580f36d4aed0ffe49d1fc7922c47cac0e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5KX5DGJBYUC5VXGRZ55JICVQON/bundle.json","state_url":"https://pith.science/pith/5KX5DGJBYUC5VXGRZ55JICVQON/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5KX5DGJBYUC5VXGRZ55JICVQON/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":"2026-06-29T12:23:56Z","links":{"resolver":"https://pith.science/pith/5KX5DGJBYUC5VXGRZ55JICVQON","bundle":"https://pith.science/pith/5KX5DGJBYUC5VXGRZ55JICVQON/bundle.json","state":"https://pith.science/pith/5KX5DGJBYUC5VXGRZ55JICVQON/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5KX5DGJBYUC5VXGRZ55JICVQON/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:5KX5DGJBYUC5VXGRZ55JICVQON","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":"a6e3465d97be62ef2e57ef5e7e02ff06061082002c2467d705df748648f810c3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-10T12:53:22Z","title_canon_sha256":"49fc215d884467bf1f21e8710779893c1fab68e45209ec9251f99f05ec8b5c60"},"schema_version":"1.0","source":{"id":"1304.2941","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.2941","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"arxiv_version","alias_value":"1304.2941v1","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.2941","created_at":"2026-05-18T03:28:20Z"},{"alias_kind":"pith_short_12","alias_value":"5KX5DGJBYUC5","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"5KX5DGJBYUC5VXGR","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"5KX5DGJB","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:b8e9c70ab62cbc405b3f19af418ba9e580f36d4aed0ffe49d1fc7922c47cac0e","target":"graph","created_at":"2026-05-18T03:28:20Z","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":"This is the introductory part of my Ph.D thesis, defended at the Faculty of Science and Technology, NTNU on December 10, 2012.","authors_text":"Amna Noreen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-10T12:53:22Z","title":"Very-High-Precision Calculations in Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.2941","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":"sha256:8caac8d14ecb371151bba673bdbcd9ee6501766c76459e80f0b4252cd49dda4f","target":"record","created_at":"2026-05-18T03:28:20Z","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":"a6e3465d97be62ef2e57ef5e7e02ff06061082002c2467d705df748648f810c3","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-04-10T12:53:22Z","title_canon_sha256":"49fc215d884467bf1f21e8710779893c1fab68e45209ec9251f99f05ec8b5c60"},"schema_version":"1.0","source":{"id":"1304.2941","kind":"arxiv","version":1}},"canonical_sha256":"eaafd19921c505dadcd1cf7a940ab07370f4e46d2fda2af621d71b65f2fc8b54","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eaafd19921c505dadcd1cf7a940ab07370f4e46d2fda2af621d71b65f2fc8b54","first_computed_at":"2026-05-18T03:28:20.405189Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:20.405189Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kbnCoU852628fUI9kN7+PTiOJ8H8ggUG2z3g5XZ+7JIeVUBeqevrPZz1mCUUqYn69PN56xy3Wr0y8/qho7+PBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:20.406036Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.2941","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8caac8d14ecb371151bba673bdbcd9ee6501766c76459e80f0b4252cd49dda4f","sha256:b8e9c70ab62cbc405b3f19af418ba9e580f36d4aed0ffe49d1fc7922c47cac0e"],"state_sha256":"dc895485f27f9450038abeee37cf9296f53aa9b0e6211514b10e0a9710be5cfe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2mPGD3QcCIZT9JilmN2DUIueGCMZX8OnD85Ri/WTXPx7D2IX/Z97uaOAXAcaitRbEGA2F0AOcaSa3OQTv/b9Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T12:23:56.379773Z","bundle_sha256":"0bdb56668307f79cc56268b81028b8d577056bd4bdb901252c41ed5838a07711"}}