{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YHI6UPDSUD6IZIGBPTAHCXDCBS","short_pith_number":"pith:YHI6UPDS","canonical_record":{"source":{"id":"1303.4691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-19T18:34:00Z","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"title_canon_sha256":"6343b1fa98ec60bbe306589c879a732e29e97d76cc39f5952db42f56138ad43d","abstract_canon_sha256":"2047a5e646edf5e5ed936647778e100208b4c203a74dd07a3041eda6d9e61983"},"schema_version":"1.0"},"canonical_sha256":"c1d1ea3c72a0fc8ca0c17cc0715c620c8b5357ef3cb1aad7cccde2bbc6bd0152","source":{"kind":"arxiv","id":"1303.4691","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4691","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4691v1","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4691","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"YHI6UPDSUD6I","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YHI6UPDSUD6IZIGB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YHI6UPDS","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YHI6UPDSUD6IZIGBPTAHCXDCBS","target":"record","payload":{"canonical_record":{"source":{"id":"1303.4691","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-19T18:34:00Z","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"title_canon_sha256":"6343b1fa98ec60bbe306589c879a732e29e97d76cc39f5952db42f56138ad43d","abstract_canon_sha256":"2047a5e646edf5e5ed936647778e100208b4c203a74dd07a3041eda6d9e61983"},"schema_version":"1.0"},"canonical_sha256":"c1d1ea3c72a0fc8ca0c17cc0715c620c8b5357ef3cb1aad7cccde2bbc6bd0152","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:30:26.509534Z","signature_b64":"D0o4gvtd2WCn3QnUpz0cQFOcQ/zy5jlnBPySomCZTbkN2MJ0iPeln+3jZh0NqAJm7Zx3YYZNFVd6mTDEaJQmAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c1d1ea3c72a0fc8ca0c17cc0715c620c8b5357ef3cb1aad7cccde2bbc6bd0152","last_reissued_at":"2026-05-18T03:30:26.508879Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:30:26.508879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.4691","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":"2026-05-18T03:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hnbnqy8NP3FQNoQ0lFpnFFe99T88O5KqFvD2qtsU4bxqWiN4B99rZ40F7QoxINA5pslbYVb01oVJ8JzoU74PAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:14:40.892587Z"},"content_sha256":"5b68a4233c51dfdde76f0e6352bf7ed9615414d920276608b4f2c1cc71db3349","schema_version":"1.0","event_id":"sha256:5b68a4233c51dfdde76f0e6352bf7ed9615414d920276608b4f2c1cc71db3349"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YHI6UPDSUD6IZIGBPTAHCXDCBS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Threshold values of autoresonant pumping","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS","math.MP","nlin.AO"],"primary_cat":"math-ph","authors_text":"O.M. Kiselev","submitted_at":"2013-03-19T18:34:00Z","abstract_excerpt":"There exists stable growing solution of primary resonant equation for a autoresonant pumping with decreasing amplitude. The primary term of asymptotics is $O(\\sqrt{t})$ and does not depend on order of the force from some interval. We point to the interval for the amplitude of the pumping for which the growing stable solution exists."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4691","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":"2026-05-18T03:30:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/mQUs1bLoUUm0iJTKbXGtEVrerVN1qS6rTfus4Z21SCwbrz1IjJUAVYDGFeNNgb9X5j7ysEa0sBXE2t5FRelAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:14:40.893455Z"},"content_sha256":"ed97156b27ccf262b620ec1c6b8f3f6a1b9f2e246e6718c887e0bd5dcbd5d5ab","schema_version":"1.0","event_id":"sha256:ed97156b27ccf262b620ec1c6b8f3f6a1b9f2e246e6718c887e0bd5dcbd5d5ab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/bundle.json","state_url":"https://pith.science/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/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":"2026-07-05T14:14:40Z","links":{"resolver":"https://pith.science/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS","bundle":"https://pith.science/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/bundle.json","state":"https://pith.science/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YHI6UPDSUD6IZIGBPTAHCXDCBS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YHI6UPDSUD6IZIGBPTAHCXDCBS","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":"2047a5e646edf5e5ed936647778e100208b4c203a74dd07a3041eda6d9e61983","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-19T18:34:00Z","title_canon_sha256":"6343b1fa98ec60bbe306589c879a732e29e97d76cc39f5952db42f56138ad43d"},"schema_version":"1.0","source":{"id":"1303.4691","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.4691","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.4691v1","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.4691","created_at":"2026-05-18T03:30:26Z"},{"alias_kind":"pith_short_12","alias_value":"YHI6UPDSUD6I","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"YHI6UPDSUD6IZIGB","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"YHI6UPDS","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:ed97156b27ccf262b620ec1c6b8f3f6a1b9f2e246e6718c887e0bd5dcbd5d5ab","target":"graph","created_at":"2026-05-18T03:30:26Z","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":"There exists stable growing solution of primary resonant equation for a autoresonant pumping with decreasing amplitude. The primary term of asymptotics is $O(\\sqrt{t})$ and does not depend on order of the force from some interval. We point to the interval for the amplitude of the pumping for which the growing stable solution exists.","authors_text":"O.M. Kiselev","cross_cats":["math.DS","math.MP","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-19T18:34:00Z","title":"Threshold values of autoresonant pumping"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.4691","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":"sha256:5b68a4233c51dfdde76f0e6352bf7ed9615414d920276608b4f2c1cc71db3349","target":"record","created_at":"2026-05-18T03:30:26Z","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":"2047a5e646edf5e5ed936647778e100208b4c203a74dd07a3041eda6d9e61983","cross_cats_sorted":["math.DS","math.MP","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-03-19T18:34:00Z","title_canon_sha256":"6343b1fa98ec60bbe306589c879a732e29e97d76cc39f5952db42f56138ad43d"},"schema_version":"1.0","source":{"id":"1303.4691","kind":"arxiv","version":1}},"canonical_sha256":"c1d1ea3c72a0fc8ca0c17cc0715c620c8b5357ef3cb1aad7cccde2bbc6bd0152","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c1d1ea3c72a0fc8ca0c17cc0715c620c8b5357ef3cb1aad7cccde2bbc6bd0152","first_computed_at":"2026-05-18T03:30:26.508879Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:30:26.508879Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D0o4gvtd2WCn3QnUpz0cQFOcQ/zy5jlnBPySomCZTbkN2MJ0iPeln+3jZh0NqAJm7Zx3YYZNFVd6mTDEaJQmAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:30:26.509534Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.4691","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b68a4233c51dfdde76f0e6352bf7ed9615414d920276608b4f2c1cc71db3349","sha256:ed97156b27ccf262b620ec1c6b8f3f6a1b9f2e246e6718c887e0bd5dcbd5d5ab"],"state_sha256":"49328ef85e4f9546e5307fecac224c9c184330ba6cdf6e5831e532b3f1f5a1e9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bO75j63gLtDj9Z6+2vCOR4Hpsi+YLTTsgWt+YCen+U1Bp9C2bqXFLkP6IHaBLpqWv35nIvoh4eJabKBsAJe1DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T14:14:40.898486Z","bundle_sha256":"6c84c1523a488ba8b524f2b51e5c9ca27b38e26a97a661c0cad3a8e8b75433d9"}}