{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:PB6BUAKOUWEFQVYT7X5LL4VCK3","short_pith_number":"pith:PB6BUAKO","canonical_record":{"source":{"id":"1505.02255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-09T10:42:20Z","cross_cats_sorted":[],"title_canon_sha256":"a64b7b9dc03f31f4f3a8ee3ed4d54bd27fb271e9b5a678fba631d1e6e16ce2ff","abstract_canon_sha256":"479d3d2fb60d39d897327b7cc9bedee5651c6a9732cbbe588f5ff3a164a4f80c"},"schema_version":"1.0"},"canonical_sha256":"787c1a014ea588585713fdfab5f2a256f133a989120ee3b67c8826f04fc98ae5","source":{"kind":"arxiv","id":"1505.02255","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02255","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02255v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02255","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"PB6BUAKOUWEF","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"PB6BUAKOUWEFQVYT","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"PB6BUAKO","created_at":"2026-05-18T12:29:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:PB6BUAKOUWEFQVYT7X5LL4VCK3","target":"record","payload":{"canonical_record":{"source":{"id":"1505.02255","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-09T10:42:20Z","cross_cats_sorted":[],"title_canon_sha256":"a64b7b9dc03f31f4f3a8ee3ed4d54bd27fb271e9b5a678fba631d1e6e16ce2ff","abstract_canon_sha256":"479d3d2fb60d39d897327b7cc9bedee5651c6a9732cbbe588f5ff3a164a4f80c"},"schema_version":"1.0"},"canonical_sha256":"787c1a014ea588585713fdfab5f2a256f133a989120ee3b67c8826f04fc98ae5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:19.421989Z","signature_b64":"hLJiZXyNdXv0NFCrmSzNydCpRsWObfPJeYk5/Iq08nk+bS4ktFo+oJZ4zDk1UL/bD1dHME68DvLy/l8yo+7yAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"787c1a014ea588585713fdfab5f2a256f133a989120ee3b67c8826f04fc98ae5","last_reissued_at":"2026-05-18T02:16:19.421511Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:19.421511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1505.02255","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":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ACOnUTYz7GpqNrbnsvvsmcxinX668eHsLZFRoxneIRHym7nYa/fnXpW2f3hex2wYvTyi6cyjILJ3YkQWdIKfCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:47:02.195458Z"},"content_sha256":"c0eb75ed0050509b995133759ca1f15e58488d5a40bd6bf27b6480a70a778077","schema_version":"1.0","event_id":"sha256:c0eb75ed0050509b995133759ca1f15e58488d5a40bd6bf27b6480a70a778077"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:PB6BUAKOUWEFQVYT7X5LL4VCK3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Daniele Ritelli, Giovanni Mingari Scarpello","submitted_at":"2015-05-09T10:42:20Z","abstract_excerpt":"In theory and practice of elastic straight rods, the statically indeterminate reactions acted by perfect constraints are commonly believed not to depend on the flexural stiffness $EJ$. We solve exactly two elastica problems in order to obtain hypergeometrically (helped by Lagrange, Lauricella, Appell), the true displacements upon which the forces method is founded. As a consequence, the above reactions are found to depend on stiffness: the presumptive independence credited as general, is far from being always true, but, quite the contrary, is valid only within a first-order approximation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02255","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":"2026-05-18T02:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrXVQDjPBr6DcY2T0eCjcyLydgrzdRBWuco3hLB/KJRf6THrDWHLJ8gAbpyF2AJKfSf7C5q8drRnmlO+WxD9CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T00:47:02.196188Z"},"content_sha256":"324fa50d05f651b18fc6c51b58b2e486ddcbd45939860828544bc70e62a1276a","schema_version":"1.0","event_id":"sha256:324fa50d05f651b18fc6c51b58b2e486ddcbd45939860828544bc70e62a1276a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/bundle.json","state_url":"https://pith.science/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/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":"2026-06-10T00:47:02Z","links":{"resolver":"https://pith.science/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3","bundle":"https://pith.science/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/bundle.json","state":"https://pith.science/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PB6BUAKOUWEFQVYT7X5LL4VCK3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:PB6BUAKOUWEFQVYT7X5LL4VCK3","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":"479d3d2fb60d39d897327b7cc9bedee5651c6a9732cbbe588f5ff3a164a4f80c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-09T10:42:20Z","title_canon_sha256":"a64b7b9dc03f31f4f3a8ee3ed4d54bd27fb271e9b5a678fba631d1e6e16ce2ff"},"schema_version":"1.0","source":{"id":"1505.02255","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.02255","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1505.02255v1","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02255","created_at":"2026-05-18T02:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"PB6BUAKOUWEF","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_16","alias_value":"PB6BUAKOUWEFQVYT","created_at":"2026-05-18T12:29:34Z"},{"alias_kind":"pith_short_8","alias_value":"PB6BUAKO","created_at":"2026-05-18T12:29:34Z"}],"graph_snapshots":[{"event_id":"sha256:324fa50d05f651b18fc6c51b58b2e486ddcbd45939860828544bc70e62a1276a","target":"graph","created_at":"2026-05-18T02:16:19Z","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 theory and practice of elastic straight rods, the statically indeterminate reactions acted by perfect constraints are commonly believed not to depend on the flexural stiffness $EJ$. We solve exactly two elastica problems in order to obtain hypergeometrically (helped by Lagrange, Lauricella, Appell), the true displacements upon which the forces method is founded. As a consequence, the above reactions are found to depend on stiffness: the presumptive independence credited as general, is far from being always true, but, quite the contrary, is valid only within a first-order approximation.","authors_text":"Daniele Ritelli, Giovanni Mingari Scarpello","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-09T10:42:20Z","title":"A hypergeometric treatment to explain the nonlinear true behavior of redundant constraints on a straight elastic rod"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02255","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:c0eb75ed0050509b995133759ca1f15e58488d5a40bd6bf27b6480a70a778077","target":"record","created_at":"2026-05-18T02:16:19Z","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":"479d3d2fb60d39d897327b7cc9bedee5651c6a9732cbbe588f5ff3a164a4f80c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-05-09T10:42:20Z","title_canon_sha256":"a64b7b9dc03f31f4f3a8ee3ed4d54bd27fb271e9b5a678fba631d1e6e16ce2ff"},"schema_version":"1.0","source":{"id":"1505.02255","kind":"arxiv","version":1}},"canonical_sha256":"787c1a014ea588585713fdfab5f2a256f133a989120ee3b67c8826f04fc98ae5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"787c1a014ea588585713fdfab5f2a256f133a989120ee3b67c8826f04fc98ae5","first_computed_at":"2026-05-18T02:16:19.421511Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:19.421511Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hLJiZXyNdXv0NFCrmSzNydCpRsWObfPJeYk5/Iq08nk+bS4ktFo+oJZ4zDk1UL/bD1dHME68DvLy/l8yo+7yAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:19.421989Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.02255","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c0eb75ed0050509b995133759ca1f15e58488d5a40bd6bf27b6480a70a778077","sha256:324fa50d05f651b18fc6c51b58b2e486ddcbd45939860828544bc70e62a1276a"],"state_sha256":"d71909024048e08e8761e2dc5d93e288e0b3622647b2a7ddb6836c9bddd8eb6a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Aub9lJ0lDCu946wlYo/+ArZNxTn9VGoqqIBZ2FQa4fC4U8dHxyZaSFcpfL6Fa9XTA/ux/IagddKPhmCxsZqBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T00:47:02.200306Z","bundle_sha256":"d40dab0fec667cf5d4da4728aabc414f0749d44b6b98f7e93ed58bbd88c8d6a7"}}