{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EQIDN55SQDVAXKS5LVGDISR62J","short_pith_number":"pith:EQIDN55S","canonical_record":{"source":{"id":"2503.18056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-03-23T12:54:11Z","cross_cats_sorted":[],"title_canon_sha256":"bc03364d9943a1f2053a6f62ffa46c60b77bf3d3ce1d4144aef0ea187a520c67","abstract_canon_sha256":"7b74333458847741fdfbdf3fc56bbe26974a110b4467d4fa1ec181be640fa851"},"schema_version":"1.0"},"canonical_sha256":"241036f7b280ea0baa5d5d4c344a3ed25367f0c8cd832aa400554210317129ff","source":{"kind":"arxiv","id":"2503.18056","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.18056","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.18056v1","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18056","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_12","alias_value":"EQIDN55SQDVA","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_16","alias_value":"EQIDN55SQDVAXKS5","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_8","alias_value":"EQIDN55S","created_at":"2026-07-05T10:38:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EQIDN55SQDVAXKS5LVGDISR62J","target":"record","payload":{"canonical_record":{"source":{"id":"2503.18056","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-03-23T12:54:11Z","cross_cats_sorted":[],"title_canon_sha256":"bc03364d9943a1f2053a6f62ffa46c60b77bf3d3ce1d4144aef0ea187a520c67","abstract_canon_sha256":"7b74333458847741fdfbdf3fc56bbe26974a110b4467d4fa1ec181be640fa851"},"schema_version":"1.0"},"canonical_sha256":"241036f7b280ea0baa5d5d4c344a3ed25367f0c8cd832aa400554210317129ff","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:38:01.437359Z","signature_b64":"od5Te8vcCpCB974ZKYEwOy4YEpto7CCFgBPcBaQoPW8GzseBx9whQv1Eqt7xXRv6jjEgszmxQk5wk72c9i66Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"241036f7b280ea0baa5d5d4c344a3ed25367f0c8cd832aa400554210317129ff","last_reissued_at":"2026-07-05T10:38:01.436305Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:38:01.436305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.18056","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":"2026-07-05T10:38:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TITPJ6lw/JXv7YcWN1WZwyefiU11zqiSYaW1M74o/FuUW2Jrcl+byrc7DVtEd9iqopoZwKEB/8KbHG2M1e0dAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:43:06.973675Z"},"content_sha256":"b89f9b7c3e784583e2f26f2b04743638a3310daf20bce9b9d48ae2f0fc06a238","schema_version":"1.0","event_id":"sha256:b89f9b7c3e784583e2f26f2b04743638a3310daf20bce9b9d48ae2f0fc06a238"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EQIDN55SQDVAXKS5LVGDISR62J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermal Radiation Transport with Tensor Trains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.IM","authors_text":"Aditya Deshpande, Alex A. Gorodetsky, Chad D. Meyer, Jonah M. Miller, Joshua C. Dolence, Luke F. Roberts, Patrick D. Mullen","submitted_at":"2025-03-23T12:54:11Z","abstract_excerpt":"We present a novel tensor network algorithm to solve the time-dependent, gray thermal radiation transport equation. The method invokes a tensor train (TT) decomposition for the specific intensity. The efficiency of this approach is dictated by the rank of the decomposition. When the solution is \"low-rank,\" the memory footprint of the specific intensity solution vector may be significantly compressed. The algorithm, following a step-then-truncate approach of a traditional discrete ordinates method, operates directly on the compressed state vector thereby enabling large speedups for low-rank sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18056","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/2503.18056/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":"2026-07-05T10:38:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yxaGQyirwiRlWqLD1y2L6ascDPYYvrJjUMXZwD7bT19rHOQtAcldCkiMyVUt2FtpWWBpVWft97ei6KGPtalfBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T17:43:06.974593Z"},"content_sha256":"a567fa7d6c6c6af9e8fb2ae2141e931137c8d2e4acb35f32caed344bfa803951","schema_version":"1.0","event_id":"sha256:a567fa7d6c6c6af9e8fb2ae2141e931137c8d2e4acb35f32caed344bfa803951"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EQIDN55SQDVAXKS5LVGDISR62J/bundle.json","state_url":"https://pith.science/pith/EQIDN55SQDVAXKS5LVGDISR62J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EQIDN55SQDVAXKS5LVGDISR62J/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":"2026-08-15T17:43:06Z","links":{"resolver":"https://pith.science/pith/EQIDN55SQDVAXKS5LVGDISR62J","bundle":"https://pith.science/pith/EQIDN55SQDVAXKS5LVGDISR62J/bundle.json","state":"https://pith.science/pith/EQIDN55SQDVAXKS5LVGDISR62J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EQIDN55SQDVAXKS5LVGDISR62J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EQIDN55SQDVAXKS5LVGDISR62J","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":"7b74333458847741fdfbdf3fc56bbe26974a110b4467d4fa1ec181be640fa851","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-03-23T12:54:11Z","title_canon_sha256":"bc03364d9943a1f2053a6f62ffa46c60b77bf3d3ce1d4144aef0ea187a520c67"},"schema_version":"1.0","source":{"id":"2503.18056","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.18056","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"arxiv_version","alias_value":"2503.18056v1","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.18056","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_12","alias_value":"EQIDN55SQDVA","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_16","alias_value":"EQIDN55SQDVAXKS5","created_at":"2026-07-05T10:38:01Z"},{"alias_kind":"pith_short_8","alias_value":"EQIDN55S","created_at":"2026-07-05T10:38:01Z"}],"graph_snapshots":[{"event_id":"sha256:a567fa7d6c6c6af9e8fb2ae2141e931137c8d2e4acb35f32caed344bfa803951","target":"graph","created_at":"2026-07-05T10:38:01Z","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/2503.18056/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a novel tensor network algorithm to solve the time-dependent, gray thermal radiation transport equation. The method invokes a tensor train (TT) decomposition for the specific intensity. The efficiency of this approach is dictated by the rank of the decomposition. When the solution is \"low-rank,\" the memory footprint of the specific intensity solution vector may be significantly compressed. The algorithm, following a step-then-truncate approach of a traditional discrete ordinates method, operates directly on the compressed state vector thereby enabling large speedups for low-rank sol","authors_text":"Aditya Deshpande, Alex A. Gorodetsky, Chad D. Meyer, Jonah M. Miller, Joshua C. Dolence, Luke F. Roberts, Patrick D. Mullen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-03-23T12:54:11Z","title":"Thermal Radiation Transport with Tensor Trains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.18056","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:b89f9b7c3e784583e2f26f2b04743638a3310daf20bce9b9d48ae2f0fc06a238","target":"record","created_at":"2026-07-05T10:38:01Z","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":"7b74333458847741fdfbdf3fc56bbe26974a110b4467d4fa1ec181be640fa851","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2025-03-23T12:54:11Z","title_canon_sha256":"bc03364d9943a1f2053a6f62ffa46c60b77bf3d3ce1d4144aef0ea187a520c67"},"schema_version":"1.0","source":{"id":"2503.18056","kind":"arxiv","version":1}},"canonical_sha256":"241036f7b280ea0baa5d5d4c344a3ed25367f0c8cd832aa400554210317129ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"241036f7b280ea0baa5d5d4c344a3ed25367f0c8cd832aa400554210317129ff","first_computed_at":"2026-07-05T10:38:01.436305Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:38:01.436305Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"od5Te8vcCpCB974ZKYEwOy4YEpto7CCFgBPcBaQoPW8GzseBx9whQv1Eqt7xXRv6jjEgszmxQk5wk72c9i66Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:38:01.437359Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.18056","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b89f9b7c3e784583e2f26f2b04743638a3310daf20bce9b9d48ae2f0fc06a238","sha256:a567fa7d6c6c6af9e8fb2ae2141e931137c8d2e4acb35f32caed344bfa803951"],"state_sha256":"1908e2ec06083a42fa95b9be623542753ccac2e2d9d74cd9984aa24d148503fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AwQH4AZaT1rlgYVW0+WCzWxP9TXFRcBwcN82Jw6tpN8VAO0qDHZjeu2oN6MvXAv60hzTdr7oG6wmVLmepNLhAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T17:43:06.979733Z","bundle_sha256":"9321e3f75c1bea1186527984460152b8bf8b108df77d68211ac144157b9de1a8"}}