{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:MUBTJW6ZX4E52CUEZXILQTIWQT","short_pith_number":"pith:MUBTJW6Z","canonical_record":{"source":{"id":"1109.6826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-30T14:10:28Z","cross_cats_sorted":[],"title_canon_sha256":"722ea4efc31756430fe8363276333f6e62f57d9464e20147f383ec587fbd02ae","abstract_canon_sha256":"5243e22a3f8694ed7e3e9c3074acfda576f23b2654a650ada5fc6628c9325a06"},"schema_version":"1.0"},"canonical_sha256":"650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8","source":{"kind":"arxiv","id":"1109.6826","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6826","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6826v1","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6826","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"MUBTJW6ZX4E5","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MUBTJW6ZX4E52CUE","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MUBTJW6Z","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:MUBTJW6ZX4E52CUEZXILQTIWQT","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6826","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-30T14:10:28Z","cross_cats_sorted":[],"title_canon_sha256":"722ea4efc31756430fe8363276333f6e62f57d9464e20147f383ec587fbd02ae","abstract_canon_sha256":"5243e22a3f8694ed7e3e9c3074acfda576f23b2654a650ada5fc6628c9325a06"},"schema_version":"1.0"},"canonical_sha256":"650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:52.469158Z","signature_b64":"etlZFAzjQkCg+blX63eYAa4MkNqxHLvNNTMB7YhU9XQAS+6fZqv6P/TCoAyEbGXu3CIp2jOSmnzcw6oLl/9QCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8","last_reissued_at":"2026-05-18T04:11:52.468545Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:52.468545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6826","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":"2026-05-18T04:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fe5aSAh5Lm03SAf22R0Cw9XiQex11hol+FD8wJPBBQZw4qrryid3ePBIHY5RTOahED0xRUQiScUwFiYycNWmDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T11:30:38.605421Z"},"content_sha256":"cd17f5ef6bf461dc2982a170433bc07345ce59b50d724367349de51e31d57deb","schema_version":"1.0","event_id":"sha256:cd17f5ef6bf461dc2982a170433bc07345ce59b50d724367349de51e31d57deb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:MUBTJW6ZX4E52CUEZXILQTIWQT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Francisco-Javier Sayas","submitted_at":"2011-09-30T14:10:28Z","abstract_excerpt":"In this paper we present a battery of results related to how Galerkin semidiscretization in space affects some formulations of wave scattering and propagation problems when retarded boundary integral equations are used."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6826","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":"2026-05-18T04:11:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kC4fX6cw29W1dIJ9QS7CBZZOsiIm8g3yQqTr8RMZtGcBfA7l7mH/JLmvcsrGuBn7OjTQ3JgxuOpknxV/pLk0Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T11:30:38.605770Z"},"content_sha256":"4573d6294e8bee3ba67a82d2ddcb52c1459da78a8fdf41600f8e55dae89d3024","schema_version":"1.0","event_id":"sha256:4573d6294e8bee3ba67a82d2ddcb52c1459da78a8fdf41600f8e55dae89d3024"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/bundle.json","state_url":"https://pith.science/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/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":"2026-06-04T11:30:38Z","links":{"resolver":"https://pith.science/pith/MUBTJW6ZX4E52CUEZXILQTIWQT","bundle":"https://pith.science/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/bundle.json","state":"https://pith.science/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUBTJW6ZX4E52CUEZXILQTIWQT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:MUBTJW6ZX4E52CUEZXILQTIWQT","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":"5243e22a3f8694ed7e3e9c3074acfda576f23b2654a650ada5fc6628c9325a06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-30T14:10:28Z","title_canon_sha256":"722ea4efc31756430fe8363276333f6e62f57d9464e20147f383ec587fbd02ae"},"schema_version":"1.0","source":{"id":"1109.6826","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6826","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6826v1","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6826","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"MUBTJW6ZX4E5","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"MUBTJW6ZX4E52CUE","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"MUBTJW6Z","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:4573d6294e8bee3ba67a82d2ddcb52c1459da78a8fdf41600f8e55dae89d3024","target":"graph","created_at":"2026-05-18T04:11:52Z","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":"In this paper we present a battery of results related to how Galerkin semidiscretization in space affects some formulations of wave scattering and propagation problems when retarded boundary integral equations are used.","authors_text":"Francisco-Javier Sayas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-30T14:10:28Z","title":"Energy estimates for Galerkin semidiscretizations of time domain boundary integral equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6826","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:cd17f5ef6bf461dc2982a170433bc07345ce59b50d724367349de51e31d57deb","target":"record","created_at":"2026-05-18T04:11:52Z","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":"5243e22a3f8694ed7e3e9c3074acfda576f23b2654a650ada5fc6628c9325a06","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2011-09-30T14:10:28Z","title_canon_sha256":"722ea4efc31756430fe8363276333f6e62f57d9464e20147f383ec587fbd02ae"},"schema_version":"1.0","source":{"id":"1109.6826","kind":"arxiv","version":1}},"canonical_sha256":"650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650334dbd9bf09dd0a84cdd0b84d1684d74d4a0f71b513e5179fe46a70616cc8","first_computed_at":"2026-05-18T04:11:52.468545Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:52.468545Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"etlZFAzjQkCg+blX63eYAa4MkNqxHLvNNTMB7YhU9XQAS+6fZqv6P/TCoAyEbGXu3CIp2jOSmnzcw6oLl/9QCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:52.469158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6826","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd17f5ef6bf461dc2982a170433bc07345ce59b50d724367349de51e31d57deb","sha256:4573d6294e8bee3ba67a82d2ddcb52c1459da78a8fdf41600f8e55dae89d3024"],"state_sha256":"4f21774069f5931e6492d455c677e1786774373f591d798889942554415c679d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Ur4OVq2++F+niVS2AbM3d9z5mFWH1cUOL6T3Hype81viIbjeFURcxO1eo8zLDOxIueezPye/fnJ7ypA2/h7AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T11:30:38.607725Z","bundle_sha256":"ea267511b0c632d392dc11c98ce8c189e225e360b1283af5aa244db1822dc7bc"}}