{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:F2KU7CHCJ3BEFKHEZBH7FD5N5F","short_pith_number":"pith:F2KU7CHC","canonical_record":{"source":{"id":"2608.00681","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2026-08-01T14:04:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"48215848ef79586b8062851c0f5580ff52894d083badba8e0bfecbabcea963ea","abstract_canon_sha256":"7473111b409a5b416994649e73d53464f168a4f8cfc7a1da77762d80e0674ffb"},"schema_version":"1.0"},"canonical_sha256":"2e954f88e24ec242a8e4c84ff28fade94d0281b6f8c3f0b5b02d9184f359f913","source":{"kind":"arxiv","id":"2608.00681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00681","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00681v1","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00681","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"F2KU7CHCJ3BE","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_16","alias_value":"F2KU7CHCJ3BEFKHE","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_8","alias_value":"F2KU7CHC","created_at":"2026-08-04T00:39:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:F2KU7CHCJ3BEFKHEZBH7FD5N5F","target":"record","payload":{"canonical_record":{"source":{"id":"2608.00681","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2026-08-01T14:04:22Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"48215848ef79586b8062851c0f5580ff52894d083badba8e0bfecbabcea963ea","abstract_canon_sha256":"7473111b409a5b416994649e73d53464f168a4f8cfc7a1da77762d80e0674ffb"},"schema_version":"1.0"},"canonical_sha256":"2e954f88e24ec242a8e4c84ff28fade94d0281b6f8c3f0b5b02d9184f359f913","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-04T00:39:35.517212Z","signature_b64":"BqNKlkBFZdnOs1doyHZxPkL6Y6dP8cgLwXKrJucsiUlP1ibXBDhc79qbAvkpLwIvjVpYAGzVsEbGMsHJETlXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2e954f88e24ec242a8e4c84ff28fade94d0281b6f8c3f0b5b02d9184f359f913","last_reissued_at":"2026-08-04T00:39:35.515781Z","signature_status":"signed_v1","first_computed_at":"2026-08-04T00:39:35.515781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.00681","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":"2026-08-04T00:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sMYP1hsbP63x9qOeWP4e35oCRJ2TERxotrqFmTKNFpGT3X0iIjvRAYreC8VGZDTx04ddyQSFaHe1PJu4aBPEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T16:47:28.305160Z"},"content_sha256":"b8f5d2dddfd9dec5bd39d0435e3e8e8f36c84baf7aec5a0abb1c1fa7d050f445","schema_version":"1.0","event_id":"sha256:b8f5d2dddfd9dec5bd39d0435e3e8e8f36c84baf7aec5a0abb1c1fa7d050f445"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:F2KU7CHCJ3BEFKHEZBH7FD5N5F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ermakov-Painleve' II Symmetry Reduction of a Class of Moving Boundary Problems for a Reciprocal Extended mKdV Equation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"nlin.SI","authors_text":"Colin Rogers, Sandra Carillo","submitted_at":"2026-08-01T14:04:22Z","abstract_excerpt":"A reciprocal transformation is applied to link an integrable extension of the classical solitonic mKdV to a novel nonlinear evolution equation incorporating a source term. Application of Ermakov-Painleve' II symmetry reduction is made to determine the exact solution to a class of associated moving boundary problems of Stefan-type."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00681","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.00681/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":"2026-08-04T00:39:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HwnX8DqFs+HZXKASIkLT/AxxdPgRpr30XicjqOEwBsYxpzc41gUkisD9IJgLy2pNzfAjpdHTStMdPsvpRDQYBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T16:47:28.305893Z"},"content_sha256":"bc2d720f34678498ba49c175009aa89dff2c5563eb8bf0a8c995001c318a3f73","schema_version":"1.0","event_id":"sha256:bc2d720f34678498ba49c175009aa89dff2c5563eb8bf0a8c995001c318a3f73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/bundle.json","state_url":"https://pith.science/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/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":"2026-08-12T16:47:28Z","links":{"resolver":"https://pith.science/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F","bundle":"https://pith.science/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/bundle.json","state":"https://pith.science/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F2KU7CHCJ3BEFKHEZBH7FD5N5F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:F2KU7CHCJ3BEFKHEZBH7FD5N5F","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":"7473111b409a5b416994649e73d53464f168a4f8cfc7a1da77762d80e0674ffb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2026-08-01T14:04:22Z","title_canon_sha256":"48215848ef79586b8062851c0f5580ff52894d083badba8e0bfecbabcea963ea"},"schema_version":"1.0","source":{"id":"2608.00681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.00681","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"arxiv_version","alias_value":"2608.00681v1","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.00681","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_12","alias_value":"F2KU7CHCJ3BE","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_16","alias_value":"F2KU7CHCJ3BEFKHE","created_at":"2026-08-04T00:39:35Z"},{"alias_kind":"pith_short_8","alias_value":"F2KU7CHC","created_at":"2026-08-04T00:39:35Z"}],"graph_snapshots":[{"event_id":"sha256:bc2d720f34678498ba49c175009aa89dff2c5563eb8bf0a8c995001c318a3f73","target":"graph","created_at":"2026-08-04T00:39:35Z","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/2608.00681/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A reciprocal transformation is applied to link an integrable extension of the classical solitonic mKdV to a novel nonlinear evolution equation incorporating a source term. Application of Ermakov-Painleve' II symmetry reduction is made to determine the exact solution to a class of associated moving boundary problems of Stefan-type.","authors_text":"Colin Rogers, Sandra Carillo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2026-08-01T14:04:22Z","title":"Ermakov-Painleve' II Symmetry Reduction of a Class of Moving Boundary Problems for a Reciprocal Extended mKdV Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.00681","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:b8f5d2dddfd9dec5bd39d0435e3e8e8f36c84baf7aec5a0abb1c1fa7d050f445","target":"record","created_at":"2026-08-04T00:39:35Z","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":"7473111b409a5b416994649e73d53464f168a4f8cfc7a1da77762d80e0674ffb","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.SI","submitted_at":"2026-08-01T14:04:22Z","title_canon_sha256":"48215848ef79586b8062851c0f5580ff52894d083badba8e0bfecbabcea963ea"},"schema_version":"1.0","source":{"id":"2608.00681","kind":"arxiv","version":1}},"canonical_sha256":"2e954f88e24ec242a8e4c84ff28fade94d0281b6f8c3f0b5b02d9184f359f913","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e954f88e24ec242a8e4c84ff28fade94d0281b6f8c3f0b5b02d9184f359f913","first_computed_at":"2026-08-04T00:39:35.515781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-04T00:39:35.515781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BqNKlkBFZdnOs1doyHZxPkL6Y6dP8cgLwXKrJucsiUlP1ibXBDhc79qbAvkpLwIvjVpYAGzVsEbGMsHJETlXAw==","signature_status":"signed_v1","signed_at":"2026-08-04T00:39:35.517212Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.00681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b8f5d2dddfd9dec5bd39d0435e3e8e8f36c84baf7aec5a0abb1c1fa7d050f445","sha256:bc2d720f34678498ba49c175009aa89dff2c5563eb8bf0a8c995001c318a3f73"],"state_sha256":"70fc4b37f5b5f2dbb1ed8b55e8f7c5ef78c0d592e13eaecb946e2e4d089f6e61"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nZEmGhz3bH43J4Y6hIy2YY86IJYAD6SsRVROlV1ICfsb3GBtABkrc17/FTF7jpHYUajZlqBit48sjQZ23/DKAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T16:47:28.311178Z","bundle_sha256":"cf39c8ed8ce528dfa9cba843dc1251ff72d82c8ea5ed962d0ecf374f95ab91e9"}}