{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IV7YTOK472KJAEBZOEG2ZWWQFY","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":"1fba366cba1603e9fc6b19c86e09f35aefb41ee43211349fef2d94eb8bbb85a6","cross_cats_sorted":["astro-ph.IM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-06-28T09:26:23Z","title_canon_sha256":"d0a4d2c79e8dd68caf47b3561187e0f57c3debeeebe2028d8912230642a476be"},"schema_version":"1.0","source":{"id":"2606.29289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.29289","created_at":"2026-06-30T01:18:00Z"},{"alias_kind":"arxiv_version","alias_value":"2606.29289v1","created_at":"2026-06-30T01:18:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.29289","created_at":"2026-06-30T01:18:00Z"},{"alias_kind":"pith_short_12","alias_value":"IV7YTOK472KJ","created_at":"2026-06-30T01:18:00Z"},{"alias_kind":"pith_short_16","alias_value":"IV7YTOK472KJAEBZ","created_at":"2026-06-30T01:18:00Z"},{"alias_kind":"pith_short_8","alias_value":"IV7YTOK4","created_at":"2026-06-30T01:18:00Z"}],"graph_snapshots":[{"event_id":"sha256:c5fd0117e4795700d115aa87a596acefac0575d086cdabf68b57a46801cfdb60","target":"graph","created_at":"2026-06-30T01:18:00Z","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/2606.29289/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the maximum-initial-mass problem as a standalone optimal-control formulation for low-thrust trajectory design and analyze its structure within Pontryagin's framework. For fixed transfer time and final state, the formulation seeks the largest initial mass from which the transfer is feasible, and its necessary conditions imply a full-throttle control law in the nondegenerate case together with the standard primer-vector steering direction. We then establish a correspondence between extremals of the maximum-initial-mass and minimum-time problems, showing that each minimum-time extrem","authors_text":"Dario Izzo, Giacomo Acciarini","cross_cats":["astro-ph.IM"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-06-28T09:26:23Z","title":"The Maximum Initial Mass"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.29289","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:b7c8c376a974537e9978a8698fa184728fae6da6bd18f49ad2eec0c2e1383f3c","target":"record","created_at":"2026-06-30T01:18:00Z","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":"1fba366cba1603e9fc6b19c86e09f35aefb41ee43211349fef2d94eb8bbb85a6","cross_cats_sorted":["astro-ph.IM"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2026-06-28T09:26:23Z","title_canon_sha256":"d0a4d2c79e8dd68caf47b3561187e0f57c3debeeebe2028d8912230642a476be"},"schema_version":"1.0","source":{"id":"2606.29289","kind":"arxiv","version":1}},"canonical_sha256":"457f89b95cfe94901039710dacdad02e39ce87bc1c65ba9506206371485a98ff","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"457f89b95cfe94901039710dacdad02e39ce87bc1c65ba9506206371485a98ff","first_computed_at":"2026-06-30T01:18:00.435225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:18:00.435225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RhSKEKTWtD15WSlFV5LWebiFU095/f9BVmTNyIAWxD1o/xEia4ijRHY+st6Yki6mvgZnAE50hZ2vZKfQFK28Dg==","signature_status":"signed_v1","signed_at":"2026-06-30T01:18:00.435735Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.29289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7c8c376a974537e9978a8698fa184728fae6da6bd18f49ad2eec0c2e1383f3c","sha256:c5fd0117e4795700d115aa87a596acefac0575d086cdabf68b57a46801cfdb60"],"state_sha256":"0fd0b07d5ae8b58169347a34795b198e444376fb56ed1a2bfe887b9a9084873e"}