{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FN5ABOT5VOBQ5L4JOPONOVVON2","short_pith_number":"pith:FN5ABOT5","canonical_record":{"source":{"id":"1404.7607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T06:37:20Z","cross_cats_sorted":[],"title_canon_sha256":"8283996a399b7298f62238d76d547b672ff1b6578b317ab6ff2b232e3c8c30de","abstract_canon_sha256":"de027c7c82ae69a1fa8769220e7c0bd0dd714d9ec31f419ed0a74e5a777e05cf"},"schema_version":"1.0"},"canonical_sha256":"2b7a00ba7dab830eaf8973dcd756ae6eaab7c60da1236e53cb45cf4c851f5175","source":{"kind":"arxiv","id":"1404.7607","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7607","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7607v2","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7607","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"FN5ABOT5VOBQ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FN5ABOT5VOBQ5L4J","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FN5ABOT5","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FN5ABOT5VOBQ5L4JOPONOVVON2","target":"record","payload":{"canonical_record":{"source":{"id":"1404.7607","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T06:37:20Z","cross_cats_sorted":[],"title_canon_sha256":"8283996a399b7298f62238d76d547b672ff1b6578b317ab6ff2b232e3c8c30de","abstract_canon_sha256":"de027c7c82ae69a1fa8769220e7c0bd0dd714d9ec31f419ed0a74e5a777e05cf"},"schema_version":"1.0"},"canonical_sha256":"2b7a00ba7dab830eaf8973dcd756ae6eaab7c60da1236e53cb45cf4c851f5175","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:45:57.767816Z","signature_b64":"ww/LpRl1djk83UtKrTseL0oeJvXwjHxvITRuDUpTdS4adArSLcrdipWWwiukVb9/QQirqCSf5N8GYw+I3rgmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b7a00ba7dab830eaf8973dcd756ae6eaab7c60da1236e53cb45cf4c851f5175","last_reissued_at":"2026-05-18T02:45:57.767264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:45:57.767264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1404.7607","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":"2026-05-18T02:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtUsxq9nVT/tbh4yNvui+6JGhEvsP7SarFqwSBMH4wo9xmTuWkKw6byMigw1PRf7CAxi6OORfDdmK7V68CxyCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:39.102710Z"},"content_sha256":"a9ca4b19dbb8a8e700b7afd989eee6ed19d2b9cb476332bd8e10c093bc6e6d71","schema_version":"1.0","event_id":"sha256:a9ca4b19dbb8a8e700b7afd989eee6ed19d2b9cb476332bd8e10c093bc6e6d71"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FN5ABOT5VOBQ5L4JOPONOVVON2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of sign changing solutions for an equation with a weighted p-Laplace operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Carmen Cort\\'azar, DIM), Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\\'asevich (CMM","submitted_at":"2014-04-30T06:37:20Z","abstract_excerpt":"We consider radial solutions of a general elliptic equation involving a weighted $p$-Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence of solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane, a very general computation of an angular velocity and new estimates for the decay of an energy associated with an asymptotic Hamiltonian problem. Estimating the rate of decay for the energy requires a sub-criticality condition. The method covers the case of solutions which are not compactly supported or w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7607","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":"2026-05-18T02:45:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mdzq441uGv3SMxrVZHzbH11SLcbfFDysZYxzgqREP6/DZ90kjkONHQctPyMeIsOdascN6r5JlFmk44UcogZxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T16:34:39.103057Z"},"content_sha256":"9831a3a14ac9212fc50816e96e28a0576f5c32e9bffea8d6481db8f0a020186d","schema_version":"1.0","event_id":"sha256:9831a3a14ac9212fc50816e96e28a0576f5c32e9bffea8d6481db8f0a020186d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/bundle.json","state_url":"https://pith.science/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/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":"2026-06-03T16:34:39Z","links":{"resolver":"https://pith.science/pith/FN5ABOT5VOBQ5L4JOPONOVVON2","bundle":"https://pith.science/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/bundle.json","state":"https://pith.science/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FN5ABOT5VOBQ5L4JOPONOVVON2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FN5ABOT5VOBQ5L4JOPONOVVON2","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":"de027c7c82ae69a1fa8769220e7c0bd0dd714d9ec31f419ed0a74e5a777e05cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T06:37:20Z","title_canon_sha256":"8283996a399b7298f62238d76d547b672ff1b6578b317ab6ff2b232e3c8c30de"},"schema_version":"1.0","source":{"id":"1404.7607","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.7607","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"arxiv_version","alias_value":"1404.7607v2","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.7607","created_at":"2026-05-18T02:45:57Z"},{"alias_kind":"pith_short_12","alias_value":"FN5ABOT5VOBQ","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FN5ABOT5VOBQ5L4J","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FN5ABOT5","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:9831a3a14ac9212fc50816e96e28a0576f5c32e9bffea8d6481db8f0a020186d","target":"graph","created_at":"2026-05-18T02:45:57Z","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 consider radial solutions of a general elliptic equation involving a weighted $p$-Laplace operator with a subcritical nonlinearity. By a shooting method we prove the existence of solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane, a very general computation of an angular velocity and new estimates for the decay of an energy associated with an asymptotic Hamiltonian problem. Estimating the rate of decay for the energy requires a sub-criticality condition. The method covers the case of solutions which are not compactly supported or w","authors_text":"Carmen Cort\\'azar, DIM), Jean Dolbeault (CEREMADE), Marta Garcia-Huidobro, Raul Man\\'asevich (CMM","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T06:37:20Z","title":"Existence of sign changing solutions for an equation with a weighted p-Laplace operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.7607","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:a9ca4b19dbb8a8e700b7afd989eee6ed19d2b9cb476332bd8e10c093bc6e6d71","target":"record","created_at":"2026-05-18T02:45:57Z","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":"de027c7c82ae69a1fa8769220e7c0bd0dd714d9ec31f419ed0a74e5a777e05cf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-04-30T06:37:20Z","title_canon_sha256":"8283996a399b7298f62238d76d547b672ff1b6578b317ab6ff2b232e3c8c30de"},"schema_version":"1.0","source":{"id":"1404.7607","kind":"arxiv","version":2}},"canonical_sha256":"2b7a00ba7dab830eaf8973dcd756ae6eaab7c60da1236e53cb45cf4c851f5175","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b7a00ba7dab830eaf8973dcd756ae6eaab7c60da1236e53cb45cf4c851f5175","first_computed_at":"2026-05-18T02:45:57.767264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:57.767264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ww/LpRl1djk83UtKrTseL0oeJvXwjHxvITRuDUpTdS4adArSLcrdipWWwiukVb9/QQirqCSf5N8GYw+I3rgmBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:57.767816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.7607","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9ca4b19dbb8a8e700b7afd989eee6ed19d2b9cb476332bd8e10c093bc6e6d71","sha256:9831a3a14ac9212fc50816e96e28a0576f5c32e9bffea8d6481db8f0a020186d"],"state_sha256":"22e3f8f6c66971a612d027792ae8bb52b8232ba569efb74f64e5cfc16f160dd2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eodsvhKcGUB5O6p4ocnSsq2YhjMTGWbaXgRtSqAyInPWnVkHGccmUAHi6DeCkhmVxq7aMT9dE4TvAJu0mfM1BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T16:34:39.104993Z","bundle_sha256":"27f708970e58e8b0accc11884773eabb99d760382576bf58420fb06d7c8483b0"}}