{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:MYP76G4TVLKSHTZPYVTH7LZOPJ","short_pith_number":"pith:MYP76G4T","schema_version":"1.0","canonical_sha256":"661fff1b93aad523cf2fc5667faf2e7a4b89edb3f4bc94ae862bdd9d40a10f6a","source":{"kind":"arxiv","id":"1811.04611","version":2},"attestation_state":"computed","paper":{"title":"Subspace Packings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ferruh \\\"Ozbudak, Kamil Otal, Sascha Kurz, Tuvi Etzion","submitted_at":"2018-11-12T09:09:57Z","abstract_excerpt":"The Grassmannian ${\\mathcal G}_q(n,k)$ is the set of all $k$-dimensional subspaces of the vector space $\\mathbb{F}_q^n$. It is well known that codes in the Grassmannian space can be used for error-correction in random network coding. On the other hand, these codes are $q$-analogs of codes in the Johnson scheme, i.e. constant dimension codes. These codes of the Grassmannian ${\\mathcal G}_q(n,k)$ also form a family of $q$-analogs of block designs and they are called \\emph{subspace designs}. The application of subspace codes has motivated extensive work on the $q$-analogs of block designs.\n  In t"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1811.04611","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-11-12T09:09:57Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"20a0db166daa132754987602dabd22748db3257f8571a6cb141b2dabf0917f91","abstract_canon_sha256":"e52f12e01e955ad84bfcf163e9f2a98481281b8a700a55a47fecfe9e9864993a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:21.780421Z","signature_b64":"xdAZOnYxcvl/oGGkDI+D7sCZdasaew6b/aYMDReIjX0VJPSNlw5osFwjISogUnhrgAK3/Zfkk1Y3XMmigkIyAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"661fff1b93aad523cf2fc5667faf2e7a4b89edb3f4bc94ae862bdd9d40a10f6a","last_reissued_at":"2026-05-17T23:52:21.779666Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:21.779666Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Subspace Packings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Ferruh \\\"Ozbudak, Kamil Otal, Sascha Kurz, Tuvi Etzion","submitted_at":"2018-11-12T09:09:57Z","abstract_excerpt":"The Grassmannian ${\\mathcal G}_q(n,k)$ is the set of all $k$-dimensional subspaces of the vector space $\\mathbb{F}_q^n$. It is well known that codes in the Grassmannian space can be used for error-correction in random network coding. On the other hand, these codes are $q$-analogs of codes in the Johnson scheme, i.e. constant dimension codes. These codes of the Grassmannian ${\\mathcal G}_q(n,k)$ also form a family of $q$-analogs of block designs and they are called \\emph{subspace designs}. The application of subspace codes has motivated extensive work on the $q$-analogs of block designs.\n  In t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04611","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1811.04611","created_at":"2026-05-17T23:52:21.779796+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.04611v2","created_at":"2026-05-17T23:52:21.779796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04611","created_at":"2026-05-17T23:52:21.779796+00:00"},{"alias_kind":"pith_short_12","alias_value":"MYP76G4TVLKS","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_16","alias_value":"MYP76G4TVLKSHTZP","created_at":"2026-05-18T12:32:40.477152+00:00"},{"alias_kind":"pith_short_8","alias_value":"MYP76G4T","created_at":"2026-05-18T12:32:40.477152+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ","json":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ.json","graph_json":"https://pith.science/api/pith-number/MYP76G4TVLKSHTZPYVTH7LZOPJ/graph.json","events_json":"https://pith.science/api/pith-number/MYP76G4TVLKSHTZPYVTH7LZOPJ/events.json","paper":"https://pith.science/paper/MYP76G4T"},"agent_actions":{"view_html":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ","download_json":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ.json","view_paper":"https://pith.science/paper/MYP76G4T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.04611&json=true","fetch_graph":"https://pith.science/api/pith-number/MYP76G4TVLKSHTZPYVTH7LZOPJ/graph.json","fetch_events":"https://pith.science/api/pith-number/MYP76G4TVLKSHTZPYVTH7LZOPJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ/action/storage_attestation","attest_author":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ/action/author_attestation","sign_citation":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ/action/citation_signature","submit_replication":"https://pith.science/pith/MYP76G4TVLKSHTZPYVTH7LZOPJ/action/replication_record"}},"created_at":"2026-05-17T23:52:21.779796+00:00","updated_at":"2026-05-17T23:52:21.779796+00:00"}