{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:EW72QNBXZOPWCYSFBMZOTY6B7S","short_pith_number":"pith:EW72QNBX","canonical_record":{"source":{"id":"2505.01086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-02T07:47:21Z","cross_cats_sorted":[],"title_canon_sha256":"54a3593abd8ebcf46b623db38ad13e7685aab6a17009edfd78827bd2d73b94ca","abstract_canon_sha256":"85d00b34a6242dce3a81dd2a64f981384fb0a6a3b506c17588296b039bbec162"},"schema_version":"1.0"},"canonical_sha256":"25bfa83437cb9f6162450b32e9e3c1fc8c3c47af0ec0b7dcd8166326105d448e","source":{"kind":"arxiv","id":"2505.01086","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.01086","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2505.01086v1","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.01086","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"EW72QNBXZOPW","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"EW72QNBXZOPWCYSF","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"EW72QNBX","created_at":"2026-07-05T10:57:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:EW72QNBXZOPWCYSFBMZOTY6B7S","target":"record","payload":{"canonical_record":{"source":{"id":"2505.01086","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-02T07:47:21Z","cross_cats_sorted":[],"title_canon_sha256":"54a3593abd8ebcf46b623db38ad13e7685aab6a17009edfd78827bd2d73b94ca","abstract_canon_sha256":"85d00b34a6242dce3a81dd2a64f981384fb0a6a3b506c17588296b039bbec162"},"schema_version":"1.0"},"canonical_sha256":"25bfa83437cb9f6162450b32e9e3c1fc8c3c47af0ec0b7dcd8166326105d448e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:57:44.914716Z","signature_b64":"YuXC9FLAwMXb+zNqmI5gMTcI+k+B+F3eqH40lzQewJEg0ywlVHOGbnDAjL2wMNqodygrezGP4Y4UDltY3TaHCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"25bfa83437cb9f6162450b32e9e3c1fc8c3c47af0ec0b7dcd8166326105d448e","last_reissued_at":"2026-07-05T10:57:44.914192Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:57:44.914192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.01086","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":"2026-07-05T10:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXXNxNVb6KVN4PTxe54NCN6JmosY4Kv7MvGSOwJKZ3hQy4Pxu9eBRh2wWqRb3pzrH/rVR0W3RBHXFe85MPpRCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T22:06:02.504623Z"},"content_sha256":"47acbf7daa8509f0279430de7a842951580ede46af49e33f2b5de998dcd60dca","schema_version":"1.0","event_id":"sha256:47acbf7daa8509f0279430de7a842951580ede46af49e33f2b5de998dcd60dca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:EW72QNBXZOPWCYSFBMZOTY6B7S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cellularity of Chromatic Synthetic Spectra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Shaul Barkan, Sven van Nigtevecht","submitted_at":"2025-05-02T07:47:21Z","abstract_excerpt":"We show that the $\\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\\infty$-categories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.01086","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/2505.01086/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":"2026-07-05T10:57:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DCuOeeg7oJ50e1qYv7Bf2sRHSIJhKQqS0mEKvBy7QDG5YWImfId5TA6BMYWtHrDgGTThsjxRhacz/l9/mxglCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T22:06:02.505135Z"},"content_sha256":"352346bbbe7ca3f40ac1e7f7d0657fc739f325b71b9f8c063e2a55813ff0f3f1","schema_version":"1.0","event_id":"sha256:352346bbbe7ca3f40ac1e7f7d0657fc739f325b71b9f8c063e2a55813ff0f3f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/bundle.json","state_url":"https://pith.science/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/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":"2026-08-22T22:06:02Z","links":{"resolver":"https://pith.science/pith/EW72QNBXZOPWCYSFBMZOTY6B7S","bundle":"https://pith.science/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/bundle.json","state":"https://pith.science/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EW72QNBXZOPWCYSFBMZOTY6B7S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:EW72QNBXZOPWCYSFBMZOTY6B7S","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":"85d00b34a6242dce3a81dd2a64f981384fb0a6a3b506c17588296b039bbec162","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-02T07:47:21Z","title_canon_sha256":"54a3593abd8ebcf46b623db38ad13e7685aab6a17009edfd78827bd2d73b94ca"},"schema_version":"1.0","source":{"id":"2505.01086","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.01086","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"arxiv_version","alias_value":"2505.01086v1","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.01086","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_12","alias_value":"EW72QNBXZOPW","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_16","alias_value":"EW72QNBXZOPWCYSF","created_at":"2026-07-05T10:57:44Z"},{"alias_kind":"pith_short_8","alias_value":"EW72QNBX","created_at":"2026-07-05T10:57:44Z"}],"graph_snapshots":[{"event_id":"sha256:352346bbbe7ca3f40ac1e7f7d0657fc739f325b71b9f8c063e2a55813ff0f3f1","target":"graph","created_at":"2026-07-05T10:57:44Z","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/2505.01086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that the $\\infty$-category of synthetic spectra based on Morava E-theory is generated by the bigraded spheres and identify it with the $\\infty$-category of modules over a filtered ring spectrum. The latter we show using a general method for constructing filtered deformations from t-structures on symmetric monoidal stable $\\infty$-categories.","authors_text":"Shaul Barkan, Sven van Nigtevecht","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-02T07:47:21Z","title":"Cellularity of Chromatic Synthetic Spectra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.01086","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":"sha256:47acbf7daa8509f0279430de7a842951580ede46af49e33f2b5de998dcd60dca","target":"record","created_at":"2026-07-05T10:57:44Z","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":"85d00b34a6242dce3a81dd2a64f981384fb0a6a3b506c17588296b039bbec162","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-05-02T07:47:21Z","title_canon_sha256":"54a3593abd8ebcf46b623db38ad13e7685aab6a17009edfd78827bd2d73b94ca"},"schema_version":"1.0","source":{"id":"2505.01086","kind":"arxiv","version":1}},"canonical_sha256":"25bfa83437cb9f6162450b32e9e3c1fc8c3c47af0ec0b7dcd8166326105d448e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25bfa83437cb9f6162450b32e9e3c1fc8c3c47af0ec0b7dcd8166326105d448e","first_computed_at":"2026-07-05T10:57:44.914192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:57:44.914192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YuXC9FLAwMXb+zNqmI5gMTcI+k+B+F3eqH40lzQewJEg0ywlVHOGbnDAjL2wMNqodygrezGP4Y4UDltY3TaHCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:57:44.914716Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.01086","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47acbf7daa8509f0279430de7a842951580ede46af49e33f2b5de998dcd60dca","sha256:352346bbbe7ca3f40ac1e7f7d0657fc739f325b71b9f8c063e2a55813ff0f3f1"],"state_sha256":"32d87416ad9d6bcfa2df2dc742e3d4e2a96591218fb16c106e75a14ba4fb7456"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f64dKtI60AbIWSfU4wT4Sr44pIeWrZJq0h5R86jYjdqmnLxelq+t9wZXbQBBwC/p/dyWCoTEShudnd1JK8uRBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T22:06:02.510189Z","bundle_sha256":"228438eb5b7515d36f48da6f08936775b06867bafe49cfacc402a64d687c9539"}}