{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:3EBGP5OMXYJEKPSKQEHDFEHUBQ","short_pith_number":"pith:3EBGP5OM","canonical_record":{"source":{"id":"2411.05566","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-11-08T13:45:39Z","cross_cats_sorted":["math.AC","math.AG","math.DG"],"title_canon_sha256":"6b107de48019d71f7203f8dc97704565bb5d028fdfa7a7c3e627cb33bf4745d7","abstract_canon_sha256":"5d9b641e43906c2416475400bdc31ba33828cdbb52c7b1356eda49912890e371"},"schema_version":"1.0"},"canonical_sha256":"d90267f5ccbe12453e4a810e3290f40c3d77ecfa6db8fba924bea0ce8b4fd983","source":{"kind":"arxiv","id":"2411.05566","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05566","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05566v1","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05566","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_12","alias_value":"3EBGP5OMXYJE","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_16","alias_value":"3EBGP5OMXYJEKPSK","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_8","alias_value":"3EBGP5OM","created_at":"2026-07-05T09:33:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:3EBGP5OMXYJEKPSKQEHDFEHUBQ","target":"record","payload":{"canonical_record":{"source":{"id":"2411.05566","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-11-08T13:45:39Z","cross_cats_sorted":["math.AC","math.AG","math.DG"],"title_canon_sha256":"6b107de48019d71f7203f8dc97704565bb5d028fdfa7a7c3e627cb33bf4745d7","abstract_canon_sha256":"5d9b641e43906c2416475400bdc31ba33828cdbb52c7b1356eda49912890e371"},"schema_version":"1.0"},"canonical_sha256":"d90267f5ccbe12453e4a810e3290f40c3d77ecfa6db8fba924bea0ce8b4fd983","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:33:03.154630Z","signature_b64":"leYq2b/6XqzcCHmjU1y86Vysle/+ugi7L96nM8yp5nW0vWEnlNMc7LscFcjh/GZwKMa2yHFLsNbUz43iND4fDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d90267f5ccbe12453e4a810e3290f40c3d77ecfa6db8fba924bea0ce8b4fd983","last_reissued_at":"2026-07-05T09:33:03.154092Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:33:03.154092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.05566","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":"2026-07-05T09:33:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EC60wt7b/WkMEcogxwTTLSbrTaTfCqWKjHwHfQtO+/nvDmlKeFkyG44rJ0FYzmM+aiy4Xj8sQmpB3LirLcAFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:25:58.312474Z"},"content_sha256":"d3a68cc3262518f24231779eac3471ec5d2002c35dbd9f38d4c48c4bbfe2265a","schema_version":"1.0","event_id":"sha256:d3a68cc3262518f24231779eac3471ec5d2002c35dbd9f38d4c48c4bbfe2265a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:3EBGP5OMXYJEKPSKQEHDFEHUBQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AC","math.AG","math.DG"],"primary_cat":"math.CV","authors_text":"Siarhei Finski","submitted_at":"2024-11-08T13:45:39Z","abstract_excerpt":"We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We further analyze the asymptotics of the associated weighted Bergman kernel, presenting the local refinement of earlier results on the convergence of jumping measures for submultiplicative filtrations towards the pushforward measure defined by the corresponding geodesic ray."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05566","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/2411.05566/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":"2026-07-05T09:33:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XBYdpyyKtuimuPxPFv4jZNH80F+KXnmP3aNVFG94SArod/KcgjIkxyMKNmOF2ofJY1scpf0BfX8AgHUtA1XbDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:25:58.313018Z"},"content_sha256":"2d93c3ed7cedbb7e2ec5832b7ac276a8dd7aa51e1444c80a036a62b6b550df41","schema_version":"1.0","event_id":"sha256:2d93c3ed7cedbb7e2ec5832b7ac276a8dd7aa51e1444c80a036a62b6b550df41"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/bundle.json","state_url":"https://pith.science/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/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":"2026-08-08T12:25:58Z","links":{"resolver":"https://pith.science/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ","bundle":"https://pith.science/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/bundle.json","state":"https://pith.science/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3EBGP5OMXYJEKPSKQEHDFEHUBQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:3EBGP5OMXYJEKPSKQEHDFEHUBQ","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":"5d9b641e43906c2416475400bdc31ba33828cdbb52c7b1356eda49912890e371","cross_cats_sorted":["math.AC","math.AG","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-11-08T13:45:39Z","title_canon_sha256":"6b107de48019d71f7203f8dc97704565bb5d028fdfa7a7c3e627cb33bf4745d7"},"schema_version":"1.0","source":{"id":"2411.05566","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05566","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05566v1","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05566","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_12","alias_value":"3EBGP5OMXYJE","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_16","alias_value":"3EBGP5OMXYJEKPSK","created_at":"2026-07-05T09:33:03Z"},{"alias_kind":"pith_short_8","alias_value":"3EBGP5OM","created_at":"2026-07-05T09:33:03Z"}],"graph_snapshots":[{"event_id":"sha256:2d93c3ed7cedbb7e2ec5832b7ac276a8dd7aa51e1444c80a036a62b6b550df41","target":"graph","created_at":"2026-07-05T09:33:03Z","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/2411.05566/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We demonstrate that the weight operator associated with a submultiplicative filtration on the section ring of a polarized complex projective manifold is a Toeplitz operator. We further analyze the asymptotics of the associated weighted Bergman kernel, presenting the local refinement of earlier results on the convergence of jumping measures for submultiplicative filtrations towards the pushforward measure defined by the corresponding geodesic ray.","authors_text":"Siarhei Finski","cross_cats":["math.AC","math.AG","math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-11-08T13:45:39Z","title":"Toeplitz operators, submultiplicative filtrations and weighted Bergman kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05566","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:d3a68cc3262518f24231779eac3471ec5d2002c35dbd9f38d4c48c4bbfe2265a","target":"record","created_at":"2026-07-05T09:33:03Z","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":"5d9b641e43906c2416475400bdc31ba33828cdbb52c7b1356eda49912890e371","cross_cats_sorted":["math.AC","math.AG","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CV","submitted_at":"2024-11-08T13:45:39Z","title_canon_sha256":"6b107de48019d71f7203f8dc97704565bb5d028fdfa7a7c3e627cb33bf4745d7"},"schema_version":"1.0","source":{"id":"2411.05566","kind":"arxiv","version":1}},"canonical_sha256":"d90267f5ccbe12453e4a810e3290f40c3d77ecfa6db8fba924bea0ce8b4fd983","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d90267f5ccbe12453e4a810e3290f40c3d77ecfa6db8fba924bea0ce8b4fd983","first_computed_at":"2026-07-05T09:33:03.154092Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:03.154092Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"leYq2b/6XqzcCHmjU1y86Vysle/+ugi7L96nM8yp5nW0vWEnlNMc7LscFcjh/GZwKMa2yHFLsNbUz43iND4fDw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:03.154630Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.05566","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3a68cc3262518f24231779eac3471ec5d2002c35dbd9f38d4c48c4bbfe2265a","sha256:2d93c3ed7cedbb7e2ec5832b7ac276a8dd7aa51e1444c80a036a62b6b550df41"],"state_sha256":"a7b13e4b42235cbcd8a2cd9d2236f0674aad858d325c612d520915bc19c66111"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JSvgmvCuAnazUpjq4+zk0gcpucid3SnGdF7uQkUEgeFRyVfdYOedO+eriEY++X/Nmp5+UKK+hs00y2Eu04kqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:25:58.317929Z","bundle_sha256":"ade3350b9203d5c1f915b1400d1ea9f33dba482f0a3ec040c0bc28f6c2397b16"}}