{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ISDPS7AYSVUPR2QPD6EZ326N7J","short_pith_number":"pith:ISDPS7AY","canonical_record":{"source":{"id":"1112.3865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-12-12T09:41:44Z","cross_cats_sorted":[],"title_canon_sha256":"3a66c05d329e2b8d7a8ed841322f051f926b27f5896f1338d7c45d02b5c497cb","abstract_canon_sha256":"f379559f46a8a4a5d1e59607f55fcb4c33a21c10b4f32c217b8e0e1595c3cc66"},"schema_version":"1.0"},"canonical_sha256":"4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84","source":{"kind":"arxiv","id":"1112.3865","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3865","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3865v2","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3865","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"ISDPS7AYSVUP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"ISDPS7AYSVUPR2QP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"ISDPS7AY","created_at":"2026-05-18T12:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ISDPS7AYSVUPR2QPD6EZ326N7J","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-12-12T09:41:44Z","cross_cats_sorted":[],"title_canon_sha256":"3a66c05d329e2b8d7a8ed841322f051f926b27f5896f1338d7c45d02b5c497cb","abstract_canon_sha256":"f379559f46a8a4a5d1e59607f55fcb4c33a21c10b4f32c217b8e0e1595c3cc66"},"schema_version":"1.0"},"canonical_sha256":"4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:38:56.222583Z","signature_b64":"H14XxUDrgcxdumgQ7y9MBNKj0an0RIXAAeSKKo+HpsJSnpo03c5klpGaKYjha3lCRk10fXmwePUJVVghd+ZRCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84","last_reissued_at":"2026-05-18T03:38:56.221868Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:38:56.221868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3865","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U/PlTw83Q7pSpSUTu0raCD7iS7HI8x09i+bh1frWYfk34H55mX2nQ8rPcqZ1UTRFC6ihL6BJMHnkHZrxagjxAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:25:34.661903Z"},"content_sha256":"05e9bd6a2113258ea3fe049f34117a60a7fe1f63d9f71836469099275a3fd985","schema_version":"1.0","event_id":"sha256:05e9bd6a2113258ea3fe049f34117a60a7fe1f63d9f71836469099275a3fd985"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ISDPS7AYSVUPR2QPD6EZ326N7J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"M. Emin Ozdemir, Merve Avci Ardic","submitted_at":"2011-12-12T09:41:44Z","abstract_excerpt":"In this paper, we established some new inequalities via s-convex and s-concave functions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3865","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:38:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zcJuf9okD3pxVeazJzWmBZIwG5A+j8Zrkku4w96Ro9kXjB3BQtORhexkf6fKInl309CbBf8zcwsxeM97LZ41Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T15:25:34.662373Z"},"content_sha256":"ec8e5213f13967f2f423664a232c6440076f95396725823ee4de003f76d33e62","schema_version":"1.0","event_id":"sha256:ec8e5213f13967f2f423664a232c6440076f95396725823ee4de003f76d33e62"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/bundle.json","state_url":"https://pith.science/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/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":"2026-06-22T15:25:34Z","links":{"resolver":"https://pith.science/pith/ISDPS7AYSVUPR2QPD6EZ326N7J","bundle":"https://pith.science/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/bundle.json","state":"https://pith.science/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ISDPS7AYSVUPR2QPD6EZ326N7J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ISDPS7AYSVUPR2QPD6EZ326N7J","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":"f379559f46a8a4a5d1e59607f55fcb4c33a21c10b4f32c217b8e0e1595c3cc66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-12-12T09:41:44Z","title_canon_sha256":"3a66c05d329e2b8d7a8ed841322f051f926b27f5896f1338d7c45d02b5c497cb"},"schema_version":"1.0","source":{"id":"1112.3865","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3865","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3865v2","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3865","created_at":"2026-05-18T03:38:56Z"},{"alias_kind":"pith_short_12","alias_value":"ISDPS7AYSVUP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"ISDPS7AYSVUPR2QP","created_at":"2026-05-18T12:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"ISDPS7AY","created_at":"2026-05-18T12:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:ec8e5213f13967f2f423664a232c6440076f95396725823ee4de003f76d33e62","target":"graph","created_at":"2026-05-18T03:38:56Z","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":"In this paper, we established some new inequalities via s-convex and s-concave functions.","authors_text":"M. Emin Ozdemir, Merve Avci Ardic","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-12-12T09:41:44Z","title":"Simpson type inequalities for functions whose third derivatives in the absolute value are s-convex and s-concave"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3865","kind":"arxiv","version":2},"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":"sha256:05e9bd6a2113258ea3fe049f34117a60a7fe1f63d9f71836469099275a3fd985","target":"record","created_at":"2026-05-18T03:38:56Z","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":"f379559f46a8a4a5d1e59607f55fcb4c33a21c10b4f32c217b8e0e1595c3cc66","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2011-12-12T09:41:44Z","title_canon_sha256":"3a66c05d329e2b8d7a8ed841322f051f926b27f5896f1338d7c45d02b5c497cb"},"schema_version":"1.0","source":{"id":"1112.3865","kind":"arxiv","version":2}},"canonical_sha256":"4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4486f97c189568f8ea0f1f899debcdfa436366695423997e9bc0c7bb0ecaae84","first_computed_at":"2026-05-18T03:38:56.221868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:38:56.221868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"H14XxUDrgcxdumgQ7y9MBNKj0an0RIXAAeSKKo+HpsJSnpo03c5klpGaKYjha3lCRk10fXmwePUJVVghd+ZRCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:38:56.222583Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3865","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05e9bd6a2113258ea3fe049f34117a60a7fe1f63d9f71836469099275a3fd985","sha256:ec8e5213f13967f2f423664a232c6440076f95396725823ee4de003f76d33e62"],"state_sha256":"27cd76e7a1eac4de76f1116a98315081e177162ae037ba7824ff55faa73ec816"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MTBdIun80YotWqEgd6bovE0ANce80o8AzECPtu8UzZy8689GwuYltXVuoo/6vq1C74kONAVXF3r+87gt6tlHBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T15:25:34.664972Z","bundle_sha256":"ede622748aac37d4664b415fdc0c6178cd8ed350c6df90ee3ce693b009a31b11"}}