{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:PCDKWVECNVTFJVI5BQQVIZHYU4","short_pith_number":"pith:PCDKWVEC","canonical_record":{"source":{"id":"2301.07012","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-17T17:01:31Z","cross_cats_sorted":[],"title_canon_sha256":"2f890713ff5d56a6f2ef5aa078e68f98300758e34e9cbf7eb3a7731415030632","abstract_canon_sha256":"899d9e9fdfa9fdfc0d73f6cf6d5c73e160e81724a0005f01128f4a1af91fba41"},"schema_version":"1.0"},"canonical_sha256":"7886ab54826d6654d51d0c215464f8a717b4402c4add812d51da19a4df4fe6fc","source":{"kind":"arxiv","id":"2301.07012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.07012","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"2301.07012v2","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.07012","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"PCDKWVECNVTF","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_16","alias_value":"PCDKWVECNVTFJVI5","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_8","alias_value":"PCDKWVEC","created_at":"2026-07-05T06:08:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:PCDKWVECNVTFJVI5BQQVIZHYU4","target":"record","payload":{"canonical_record":{"source":{"id":"2301.07012","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-17T17:01:31Z","cross_cats_sorted":[],"title_canon_sha256":"2f890713ff5d56a6f2ef5aa078e68f98300758e34e9cbf7eb3a7731415030632","abstract_canon_sha256":"899d9e9fdfa9fdfc0d73f6cf6d5c73e160e81724a0005f01128f4a1af91fba41"},"schema_version":"1.0"},"canonical_sha256":"7886ab54826d6654d51d0c215464f8a717b4402c4add812d51da19a4df4fe6fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:08:53.652342Z","signature_b64":"bCPO8tYQzwLncCxk/0c2np50xzRqKNvZbj55dbdPEUibDVZeTMUr1ahJcqUw/jkj/IK6q+zFIS401LMIgskvAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7886ab54826d6654d51d0c215464f8a717b4402c4add812d51da19a4df4fe6fc","last_reissued_at":"2026-07-05T06:08:53.651929Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:08:53.651929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.07012","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":"2026-07-05T06:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcrUqI/uAlztySKT8i7ZW7uGpTxjzMr2b2qSMrmEY1ckyZMLKLZw91nhXQvcjdmI1hi2XCaaguiWLCq6u5saAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:02:04.896420Z"},"content_sha256":"3e220d2fefaef1f05d7eeaefd50e9c146ef0a9661ed4b134bebb04081d2f9fd7","schema_version":"1.0","event_id":"sha256:3e220d2fefaef1f05d7eeaefd50e9c146ef0a9661ed4b134bebb04081d2f9fd7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:PCDKWVECNVTFJVI5BQQVIZHYU4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Irene Fonseca, Likhit Ganedi, Riccardo Cristoferi","submitted_at":"2023-01-17T17:01:31Z","abstract_excerpt":"A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first order $\\Gamma-$limit is proven to exhibit a separation of scales which has been previously conjectured in a paper by Bradies and Zeppieri and in the PhD thesis of Hagerty."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.07012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2301.07012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:08:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wmb5qYQ1zWV3TthQC1VoPC1LPz1tf+WDQI4LlDcWq9A8VJMhJWiGawFW1w58Vk9JwJU2AWtLur+KhVvbBgmlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T03:02:04.897319Z"},"content_sha256":"a8f3a28ef58ae6a90b1331f7072b20dcf1b0e2c21e72e4ba46ed40cd234d4997","schema_version":"1.0","event_id":"sha256:a8f3a28ef58ae6a90b1331f7072b20dcf1b0e2c21e72e4ba46ed40cd234d4997"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/bundle.json","state_url":"https://pith.science/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/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":"2026-08-14T03:02:04Z","links":{"resolver":"https://pith.science/pith/PCDKWVECNVTFJVI5BQQVIZHYU4","bundle":"https://pith.science/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/bundle.json","state":"https://pith.science/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PCDKWVECNVTFJVI5BQQVIZHYU4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PCDKWVECNVTFJVI5BQQVIZHYU4","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":"899d9e9fdfa9fdfc0d73f6cf6d5c73e160e81724a0005f01128f4a1af91fba41","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-17T17:01:31Z","title_canon_sha256":"2f890713ff5d56a6f2ef5aa078e68f98300758e34e9cbf7eb3a7731415030632"},"schema_version":"1.0","source":{"id":"2301.07012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.07012","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"arxiv_version","alias_value":"2301.07012v2","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.07012","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_12","alias_value":"PCDKWVECNVTF","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_16","alias_value":"PCDKWVECNVTFJVI5","created_at":"2026-07-05T06:08:53Z"},{"alias_kind":"pith_short_8","alias_value":"PCDKWVEC","created_at":"2026-07-05T06:08:53Z"}],"graph_snapshots":[{"event_id":"sha256:a8f3a28ef58ae6a90b1331f7072b20dcf1b0e2c21e72e4ba46ed40cd234d4997","target":"graph","created_at":"2026-07-05T06:08:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2301.07012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A variational model for the interaction between homogenization and phase separation is considered in the regime where the former happens at a finer scale than the latter. The first order $\\Gamma-$limit is proven to exhibit a separation of scales which has been previously conjectured in a paper by Bradies and Zeppieri and in the PhD thesis of Hagerty.","authors_text":"Irene Fonseca, Likhit Ganedi, Riccardo Cristoferi","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-17T17:01:31Z","title":"Homogenization and Phase Separation with Fixed Wells -- The Supercritical Case"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.07012","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":"sha256:3e220d2fefaef1f05d7eeaefd50e9c146ef0a9661ed4b134bebb04081d2f9fd7","target":"record","created_at":"2026-07-05T06:08:53Z","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":"899d9e9fdfa9fdfc0d73f6cf6d5c73e160e81724a0005f01128f4a1af91fba41","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2023-01-17T17:01:31Z","title_canon_sha256":"2f890713ff5d56a6f2ef5aa078e68f98300758e34e9cbf7eb3a7731415030632"},"schema_version":"1.0","source":{"id":"2301.07012","kind":"arxiv","version":2}},"canonical_sha256":"7886ab54826d6654d51d0c215464f8a717b4402c4add812d51da19a4df4fe6fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7886ab54826d6654d51d0c215464f8a717b4402c4add812d51da19a4df4fe6fc","first_computed_at":"2026-07-05T06:08:53.651929Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:08:53.651929Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bCPO8tYQzwLncCxk/0c2np50xzRqKNvZbj55dbdPEUibDVZeTMUr1ahJcqUw/jkj/IK6q+zFIS401LMIgskvAw==","signature_status":"signed_v1","signed_at":"2026-07-05T06:08:53.652342Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.07012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e220d2fefaef1f05d7eeaefd50e9c146ef0a9661ed4b134bebb04081d2f9fd7","sha256:a8f3a28ef58ae6a90b1331f7072b20dcf1b0e2c21e72e4ba46ed40cd234d4997"],"state_sha256":"5b8f1110d6dc82fe35d963462603cff5a00b0f22913c9002572002621bec4b4f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fa7c8an+BZNX8+ZwW9MSzGtgcqxErGio7fV0KcXh9pqAc43CBixXCuesA15njX6FAL24AvFIfTwWd1fjab0WCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T03:02:04.905048Z","bundle_sha256":"c64969fe426f59437e1198b9027af09e5e1cda9eace25ea2c8045ba67f0fcab1"}}