{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:ARLNQXEWQ5LHINT6JRGZJJKFWK","short_pith_number":"pith:ARLNQXEW","canonical_record":{"source":{"id":"1710.01880","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-05T04:34:23Z","cross_cats_sorted":[],"title_canon_sha256":"3324d45f2b4727c8aa1a344a1a8d8fe25654417894bd60bb1371adf2da958ba4","abstract_canon_sha256":"56ea57073a07da4b197b87544a72080eedf85238c6faf7de1b8479e26654df6a"},"schema_version":"1.0"},"canonical_sha256":"0456d85c96875674367e4c4d94a545b2864d4b0d931d833acc1271fb23d65aae","source":{"kind":"arxiv","id":"1710.01880","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01880","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01880v1","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01880","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"ARLNQXEWQ5LH","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"ARLNQXEWQ5LHINT6","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"ARLNQXEW","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:ARLNQXEWQ5LHINT6JRGZJJKFWK","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01880","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-05T04:34:23Z","cross_cats_sorted":[],"title_canon_sha256":"3324d45f2b4727c8aa1a344a1a8d8fe25654417894bd60bb1371adf2da958ba4","abstract_canon_sha256":"56ea57073a07da4b197b87544a72080eedf85238c6faf7de1b8479e26654df6a"},"schema_version":"1.0"},"canonical_sha256":"0456d85c96875674367e4c4d94a545b2864d4b0d931d833acc1271fb23d65aae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:38.155760Z","signature_b64":"eHtOm5bhU7lVUcWtXpTyZrHvYDrLC5cWM4egYdFVafYIcqhGf09kysIax0WGHnRCVPMxMITwv0EDOzHcIT8gBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0456d85c96875674367e4c4d94a545b2864d4b0d931d833acc1271fb23d65aae","last_reissued_at":"2026-05-18T00:33:38.155075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:38.155075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01880","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":"2026-05-18T00:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nvtX4rAUJAj/trKuV6ZPShxOl15mWkZVTmg6r0da5x3iOB7HmoFEd0+TE7FCNzF6CrM0kzioYfkD3wotsa3hCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:49:43.895856Z"},"content_sha256":"bfab30649d442927bf2d9ce609b861578d8a46688485310f65327dc7b044a112","schema_version":"1.0","event_id":"sha256:bfab30649d442927bf2d9ce609b861578d8a46688485310f65327dc7b044a112"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:ARLNQXEWQ5LHINT6JRGZJJKFWK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"High energy sign-changing solutions for Coron's problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Monica Musso, Shengbing Deng","submitted_at":"2017-10-05T04:34:23Z","abstract_excerpt":"We study the existence of sign changing solutions to the following problem $$ (P) \\quad \\quad \\quad \\left\\{\n  \\begin{array}{ll} \\Delta u+|u|^{p-1}u=0 \\quad & {\\rm in} \\quad \\Omega_\\epsilon; u=0 \\quad & {\\rm on} \\quad\\partial \\Omega_\\epsilon,\n  \\end{array}\n  \\right. $$ where $p=\\frac{n+2}{n-2}$ is the critical Sobolev exponent and $\\Omega_\\epsilon$ is a bounded smooth domain in ${\\mathcal R}^n$, $n\\geq 3$, with the form $\\Omega_\\epsilon=\\Omega\\backslash B(0,\\epsilon)$ with $\\Omega$ a smooth bounded domain containing the origin $0$ and $B(0,\\epsilon)$ the ball centered at the origin with radius "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01880","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":"2026-05-18T00:33:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PafPME24stqE2AJknrlJHDX9w4jZhnhtdki29/jOxSd3n+SqqpcR5koL8gukCLTwq945KSspjMoJq+nr5t5EAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T11:49:43.896199Z"},"content_sha256":"1a06d215005b8a001f9c229e53c3b66b50e608e42cd6674af0ed0f628c98f09c","schema_version":"1.0","event_id":"sha256:1a06d215005b8a001f9c229e53c3b66b50e608e42cd6674af0ed0f628c98f09c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/bundle.json","state_url":"https://pith.science/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/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":"2026-06-01T11:49:43Z","links":{"resolver":"https://pith.science/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK","bundle":"https://pith.science/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/bundle.json","state":"https://pith.science/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ARLNQXEWQ5LHINT6JRGZJJKFWK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:ARLNQXEWQ5LHINT6JRGZJJKFWK","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":"56ea57073a07da4b197b87544a72080eedf85238c6faf7de1b8479e26654df6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-05T04:34:23Z","title_canon_sha256":"3324d45f2b4727c8aa1a344a1a8d8fe25654417894bd60bb1371adf2da958ba4"},"schema_version":"1.0","source":{"id":"1710.01880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01880","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01880v1","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01880","created_at":"2026-05-18T00:33:38Z"},{"alias_kind":"pith_short_12","alias_value":"ARLNQXEWQ5LH","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"ARLNQXEWQ5LHINT6","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"ARLNQXEW","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:1a06d215005b8a001f9c229e53c3b66b50e608e42cd6674af0ed0f628c98f09c","target":"graph","created_at":"2026-05-18T00:33:38Z","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 study the existence of sign changing solutions to the following problem $$ (P) \\quad \\quad \\quad \\left\\{\n  \\begin{array}{ll} \\Delta u+|u|^{p-1}u=0 \\quad & {\\rm in} \\quad \\Omega_\\epsilon; u=0 \\quad & {\\rm on} \\quad\\partial \\Omega_\\epsilon,\n  \\end{array}\n  \\right. $$ where $p=\\frac{n+2}{n-2}$ is the critical Sobolev exponent and $\\Omega_\\epsilon$ is a bounded smooth domain in ${\\mathcal R}^n$, $n\\geq 3$, with the form $\\Omega_\\epsilon=\\Omega\\backslash B(0,\\epsilon)$ with $\\Omega$ a smooth bounded domain containing the origin $0$ and $B(0,\\epsilon)$ the ball centered at the origin with radius ","authors_text":"Monica Musso, Shengbing Deng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-05T04:34:23Z","title":"High energy sign-changing solutions for Coron's problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01880","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:bfab30649d442927bf2d9ce609b861578d8a46688485310f65327dc7b044a112","target":"record","created_at":"2026-05-18T00:33:38Z","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":"56ea57073a07da4b197b87544a72080eedf85238c6faf7de1b8479e26654df6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-10-05T04:34:23Z","title_canon_sha256":"3324d45f2b4727c8aa1a344a1a8d8fe25654417894bd60bb1371adf2da958ba4"},"schema_version":"1.0","source":{"id":"1710.01880","kind":"arxiv","version":1}},"canonical_sha256":"0456d85c96875674367e4c4d94a545b2864d4b0d931d833acc1271fb23d65aae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0456d85c96875674367e4c4d94a545b2864d4b0d931d833acc1271fb23d65aae","first_computed_at":"2026-05-18T00:33:38.155075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:38.155075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eHtOm5bhU7lVUcWtXpTyZrHvYDrLC5cWM4egYdFVafYIcqhGf09kysIax0WGHnRCVPMxMITwv0EDOzHcIT8gBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:38.155760Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfab30649d442927bf2d9ce609b861578d8a46688485310f65327dc7b044a112","sha256:1a06d215005b8a001f9c229e53c3b66b50e608e42cd6674af0ed0f628c98f09c"],"state_sha256":"93ba7c62b92a6257bf75c99ab4a5fb66bcf552f9eaf600cad075303bc8931e4d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"feS3AiFR0BU1nsm760NP9aJFlIVx5mFpIBW1miypJKObk45sa5k+Onn++c5Y1rwsp9o/rSjSlms7FzMpTKGqCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T11:49:43.898092Z","bundle_sha256":"c9221355e75df2499638b1df5d264812555774bcae311e80246a4c13fa538d65"}}