{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7B2W6MFHMYOY3DSLDMZK43QI7Q","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":"fed720dff30dabd01f88bbbec0b1426a9453bd2e7b7ca25253b13fa3473dbc33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-12-02T08:37:44Z","title_canon_sha256":"aa067e1509f3fc7869cf21846cabd0eefda728ffef938dff105ef0f49dad2318"},"schema_version":"1.0","source":{"id":"1512.00610","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.00610","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"arxiv_version","alias_value":"1512.00610v1","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.00610","created_at":"2026-05-18T01:25:25Z"},{"alias_kind":"pith_short_12","alias_value":"7B2W6MFHMYOY","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"7B2W6MFHMYOY3DSL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"7B2W6MFH","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:33f958e07d8b09c35e64c1deb9df69d84dafd81240291173540f4ac5ee2bb9bf","target":"graph","created_at":"2026-05-18T01:25:25Z","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":"We study almost square Banach spaces under a topological point of view. Indeed, we prove that the class of Banach spaces which admits an equivalent norm to be ASQ is that of those Banach spaces which contain an isomorphic copy of $c_0$. We also prove that the symmetric projective tensor products of an almost square Banach space have the strong diameter two property","authors_text":"Abraham Rueda Zoca, Gin\\'es L\\'opez P\\'erez, Julio Becerra Guerrero","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-12-02T08:37:44Z","title":"Some results on almost square Banach spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.00610","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:d4794de2d0e600663e75e2e0eb1675b5a1aad0fa4e8d515b3cdbee5cceefc397","target":"record","created_at":"2026-05-18T01:25:25Z","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":"fed720dff30dabd01f88bbbec0b1426a9453bd2e7b7ca25253b13fa3473dbc33","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2015-12-02T08:37:44Z","title_canon_sha256":"aa067e1509f3fc7869cf21846cabd0eefda728ffef938dff105ef0f49dad2318"},"schema_version":"1.0","source":{"id":"1512.00610","kind":"arxiv","version":1}},"canonical_sha256":"f8756f30a7661d8d8e4b1b32ae6e08fc35dd72bec827255b60f98a147d100f70","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8756f30a7661d8d8e4b1b32ae6e08fc35dd72bec827255b60f98a147d100f70","first_computed_at":"2026-05-18T01:25:25.556396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:25.556396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qz9+v+DkAOCaIsvbrtxrzC9NA3UKtsX2PrYdFHbg0MDlt1nJtTxcBWSoQtQIfNmKZUSzgF/Y3vTm0iIn0xktBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:25.556818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.00610","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d4794de2d0e600663e75e2e0eb1675b5a1aad0fa4e8d515b3cdbee5cceefc397","sha256:33f958e07d8b09c35e64c1deb9df69d84dafd81240291173540f4ac5ee2bb9bf"],"state_sha256":"cf746c55d1bf3e7a3157785460d994bbdd4abacc2771c76f00a3ab4bad58a561"}