{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:HPKJ773D5O2KG3ISBISNOA2XX4","short_pith_number":"pith:HPKJ773D","canonical_record":{"source":{"id":"1811.05552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-13T22:35:49Z","cross_cats_sorted":["math.DS","math.MG"],"title_canon_sha256":"928183de9ba4d03f3e43f20426589c204e1239450f30dd07815f2848944486ca","abstract_canon_sha256":"0087cb23d5be0a84766e5cd3c64768c32b83fd4aaa6d44fbac1e9d8e890d3e61"},"schema_version":"1.0"},"canonical_sha256":"3bd49fff63ebb4a36d120a24d70357bf1d78f9591a153203275cbfff1b84fc2c","source":{"kind":"arxiv","id":"1811.05552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05552","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05552v1","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05552","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"pith_short_12","alias_value":"HPKJ773D5O2K","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HPKJ773D5O2KG3IS","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HPKJ773D","created_at":"2026-05-18T12:32:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:HPKJ773D5O2KG3ISBISNOA2XX4","target":"record","payload":{"canonical_record":{"source":{"id":"1811.05552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-13T22:35:49Z","cross_cats_sorted":["math.DS","math.MG"],"title_canon_sha256":"928183de9ba4d03f3e43f20426589c204e1239450f30dd07815f2848944486ca","abstract_canon_sha256":"0087cb23d5be0a84766e5cd3c64768c32b83fd4aaa6d44fbac1e9d8e890d3e61"},"schema_version":"1.0"},"canonical_sha256":"3bd49fff63ebb4a36d120a24d70357bf1d78f9591a153203275cbfff1b84fc2c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:42.657942Z","signature_b64":"RRsiTCyEm3UaC5XO2/v1V+RIs7xFTSzjwqm52BAUtUTl55uFz4Ug3xeDCPjD1iRmH7qxvYItoKTo+7vweQGXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3bd49fff63ebb4a36d120a24d70357bf1d78f9591a153203275cbfff1b84fc2c","last_reissued_at":"2026-05-18T00:00:42.657470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:42.657470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.05552","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":"2026-05-18T00:00:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BBxqiYbKBXmlXy0Oxsm9VFonCjw0nr1stFhaRs6CxB0+VIsmlsB2G4N/SGtx/aNAiSKBDuevwvSAYFErZxJNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:45:27.786075Z"},"content_sha256":"3c2f95250c5a408ccbf73386aea727214d0a6ae18fd05821667d747be2cd910c","schema_version":"1.0","event_id":"sha256:3c2f95250c5a408ccbf73386aea727214d0a6ae18fd05821667d747be2cd910c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:HPKJ773D5O2KG3ISBISNOA2XX4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Viterbo conjecture for Zoll symmetric spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MG"],"primary_cat":"math.SG","authors_text":"Egor Shelukhin","submitted_at":"2018-11-13T22:35:49Z","abstract_excerpt":"We prove a conjecture of Viterbo from 2007 on the existence of a uniform bound on the Lagrangian spectral norm of Hamiltonian deformations of the zero section in unit cotangent disk bundles, for bases given by compact rank one symmetric spaces $S^n, \\mathbb{R} P^n, \\mathbb{C} P^n, \\mathbb{H} P^n,$ $n\\geq 1.$ We discuss generalizations and give applications, in particular to $C^0$ symplectic topology. Our key methods, which are of independent interest, consist of a reinterpretation of the spectral norm via the asymptotic behavior of a family of cones of filtered morphisms, and a quantitative de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05552","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":""},"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":"2026-05-18T00:00:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5I1eenZzlvTulVfhpUyuUJcQvsaUdruBDlhHR51lrFZL6/NbM0deJ6lDN5r/OURGf0TO03g93LnEaXHq2xGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T04:45:27.786441Z"},"content_sha256":"cc1f4e21aa75de0568d3f1cda661aa8b3efa9ce79eaa596d2472f6684bb5e406","schema_version":"1.0","event_id":"sha256:cc1f4e21aa75de0568d3f1cda661aa8b3efa9ce79eaa596d2472f6684bb5e406"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HPKJ773D5O2KG3ISBISNOA2XX4/bundle.json","state_url":"https://pith.science/pith/HPKJ773D5O2KG3ISBISNOA2XX4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HPKJ773D5O2KG3ISBISNOA2XX4/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":"2026-06-20T04:45:27Z","links":{"resolver":"https://pith.science/pith/HPKJ773D5O2KG3ISBISNOA2XX4","bundle":"https://pith.science/pith/HPKJ773D5O2KG3ISBISNOA2XX4/bundle.json","state":"https://pith.science/pith/HPKJ773D5O2KG3ISBISNOA2XX4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HPKJ773D5O2KG3ISBISNOA2XX4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:HPKJ773D5O2KG3ISBISNOA2XX4","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":"0087cb23d5be0a84766e5cd3c64768c32b83fd4aaa6d44fbac1e9d8e890d3e61","cross_cats_sorted":["math.DS","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-13T22:35:49Z","title_canon_sha256":"928183de9ba4d03f3e43f20426589c204e1239450f30dd07815f2848944486ca"},"schema_version":"1.0","source":{"id":"1811.05552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.05552","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"arxiv_version","alias_value":"1811.05552v1","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.05552","created_at":"2026-05-18T00:00:42Z"},{"alias_kind":"pith_short_12","alias_value":"HPKJ773D5O2K","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_16","alias_value":"HPKJ773D5O2KG3IS","created_at":"2026-05-18T12:32:28Z"},{"alias_kind":"pith_short_8","alias_value":"HPKJ773D","created_at":"2026-05-18T12:32:28Z"}],"graph_snapshots":[{"event_id":"sha256:cc1f4e21aa75de0568d3f1cda661aa8b3efa9ce79eaa596d2472f6684bb5e406","target":"graph","created_at":"2026-05-18T00:00:42Z","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 prove a conjecture of Viterbo from 2007 on the existence of a uniform bound on the Lagrangian spectral norm of Hamiltonian deformations of the zero section in unit cotangent disk bundles, for bases given by compact rank one symmetric spaces $S^n, \\mathbb{R} P^n, \\mathbb{C} P^n, \\mathbb{H} P^n,$ $n\\geq 1.$ We discuss generalizations and give applications, in particular to $C^0$ symplectic topology. Our key methods, which are of independent interest, consist of a reinterpretation of the spectral norm via the asymptotic behavior of a family of cones of filtered morphisms, and a quantitative de","authors_text":"Egor Shelukhin","cross_cats":["math.DS","math.MG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-13T22:35:49Z","title":"Viterbo conjecture for Zoll symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.05552","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":"sha256:3c2f95250c5a408ccbf73386aea727214d0a6ae18fd05821667d747be2cd910c","target":"record","created_at":"2026-05-18T00:00:42Z","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":"0087cb23d5be0a84766e5cd3c64768c32b83fd4aaa6d44fbac1e9d8e890d3e61","cross_cats_sorted":["math.DS","math.MG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-11-13T22:35:49Z","title_canon_sha256":"928183de9ba4d03f3e43f20426589c204e1239450f30dd07815f2848944486ca"},"schema_version":"1.0","source":{"id":"1811.05552","kind":"arxiv","version":1}},"canonical_sha256":"3bd49fff63ebb4a36d120a24d70357bf1d78f9591a153203275cbfff1b84fc2c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3bd49fff63ebb4a36d120a24d70357bf1d78f9591a153203275cbfff1b84fc2c","first_computed_at":"2026-05-18T00:00:42.657470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:00:42.657470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RRsiTCyEm3UaC5XO2/v1V+RIs7xFTSzjwqm52BAUtUTl55uFz4Ug3xeDCPjD1iRmH7qxvYItoKTo+7vweQGXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:00:42.657942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.05552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c2f95250c5a408ccbf73386aea727214d0a6ae18fd05821667d747be2cd910c","sha256:cc1f4e21aa75de0568d3f1cda661aa8b3efa9ce79eaa596d2472f6684bb5e406"],"state_sha256":"f1bd6ca620008ce57656eae15c1549fc5de0e17d69ec274ff61eb25329ea8598"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dMXHNtlwmnqF6Vyy1CmX5dYHAs3JYt+OJHfWAB0zHljuWlx83dzeY3SwbUZccd4jumXb8+sS6kz3eyOGqypqDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T04:45:27.788673Z","bundle_sha256":"5bccdc8dc8d6dd0c0b1bf0641ded21374f9d109d2ec0942df9cfdb77238f2c37"}}