{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:QL4YMDIX42KWKNQ44RJMH45S6B","short_pith_number":"pith:QL4YMDIX","canonical_record":{"source":{"id":"2409.01537","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-03T02:13:57Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"5b104667daa5b17426b955760eee4b650c13c18417e108419ab40ae2103e1ea0","abstract_canon_sha256":"6ba475a824dc33fe1e77787cd0dba6a0f5146b2d727bc91e456a099ec97871ea"},"schema_version":"1.0"},"canonical_sha256":"82f9860d17e69565361ce452c3f3b2f0718eb7ef920c5a20be0708776281c915","source":{"kind":"arxiv","id":"2409.01537","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01537","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01537v2","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01537","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"QL4YMDIX42KW","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_16","alias_value":"QL4YMDIX42KWKNQ4","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_8","alias_value":"QL4YMDIX","created_at":"2026-07-05T09:50:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:QL4YMDIX42KWKNQ44RJMH45S6B","target":"record","payload":{"canonical_record":{"source":{"id":"2409.01537","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-03T02:13:57Z","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"title_canon_sha256":"5b104667daa5b17426b955760eee4b650c13c18417e108419ab40ae2103e1ea0","abstract_canon_sha256":"6ba475a824dc33fe1e77787cd0dba6a0f5146b2d727bc91e456a099ec97871ea"},"schema_version":"1.0"},"canonical_sha256":"82f9860d17e69565361ce452c3f3b2f0718eb7ef920c5a20be0708776281c915","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:50:51.573121Z","signature_b64":"vGubL5WAGDmyZWpflJNFnsJ4bJ5h1zOSrgBgJgloxIFSM3FIF9zDeM5PU00bfjOQeTuIFexfUHg473zuYWu8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82f9860d17e69565361ce452c3f3b2f0718eb7ef920c5a20be0708776281c915","last_reissued_at":"2026-07-05T09:50:51.572608Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:50:51.572608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.01537","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":"2026-07-05T09:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52sALVWMYRYlPY1SZkDF+MCU23U6ck0m3oO5DkPpCVoxl5uuGHCO0rQi0ZJsM+QGE+lVCbRpnwcCEP7naOA8Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:52:31.557640Z"},"content_sha256":"0f3a073452e77aa2f4643a4241bc74bfb2aad8abe3f8418912881757ff629216","schema_version":"1.0","event_id":"sha256:0f3a073452e77aa2f4643a4241bc74bfb2aad8abe3f8418912881757ff629216"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:QL4YMDIX42KWKNQ44RJMH45S6B","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An integrable pseudospherical equation with pseudo-peakon solutions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AP","math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Igor Leite Freire, Nazime Sales Filho, Priscila Leal da Silva","submitted_at":"2024-09-03T02:13:57Z","abstract_excerpt":"We study an integrable equation whose solutions define a triad of one-forms describing a surface with Gaussian curvature -1. We identify a local group of diffeomorphisms that preserve these solutions and establish conserved quantities. From the symmetries, we obtain invariant solutions that provide explicit metrics for the surfaces. These solutions are unbounded and often appear in mirrored pairs. We introduce the ``collage'' method, which uses conserved quantities to remove unbounded parts and smoothly join the solutions, leading to weak solutions consistent with the conserved quantities. As "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01537","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/2409.01537/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":"2026-07-05T09:50:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x9/NmTVapUqPsOZITG/uPbM1To+mRdCMHri7V4JqDBVn3Q+Gu/7Nftp21ploNwr1JVprYkbAbInRBmb0KzXaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T14:52:31.558007Z"},"content_sha256":"2e1647b9d91d19ed7f832e22ce4600f04754ea54b89cda3d3ac709856c1793d4","schema_version":"1.0","event_id":"sha256:2e1647b9d91d19ed7f832e22ce4600f04754ea54b89cda3d3ac709856c1793d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QL4YMDIX42KWKNQ44RJMH45S6B/bundle.json","state_url":"https://pith.science/pith/QL4YMDIX42KWKNQ44RJMH45S6B/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QL4YMDIX42KWKNQ44RJMH45S6B/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":"2026-07-06T14:52:31Z","links":{"resolver":"https://pith.science/pith/QL4YMDIX42KWKNQ44RJMH45S6B","bundle":"https://pith.science/pith/QL4YMDIX42KWKNQ44RJMH45S6B/bundle.json","state":"https://pith.science/pith/QL4YMDIX42KWKNQ44RJMH45S6B/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QL4YMDIX42KWKNQ44RJMH45S6B/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:QL4YMDIX42KWKNQ44RJMH45S6B","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":"6ba475a824dc33fe1e77787cd0dba6a0f5146b2d727bc91e456a099ec97871ea","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-03T02:13:57Z","title_canon_sha256":"5b104667daa5b17426b955760eee4b650c13c18417e108419ab40ae2103e1ea0"},"schema_version":"1.0","source":{"id":"2409.01537","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.01537","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"arxiv_version","alias_value":"2409.01537v2","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.01537","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_12","alias_value":"QL4YMDIX42KW","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_16","alias_value":"QL4YMDIX42KWKNQ4","created_at":"2026-07-05T09:50:51Z"},{"alias_kind":"pith_short_8","alias_value":"QL4YMDIX","created_at":"2026-07-05T09:50:51Z"}],"graph_snapshots":[{"event_id":"sha256:2e1647b9d91d19ed7f832e22ce4600f04754ea54b89cda3d3ac709856c1793d4","target":"graph","created_at":"2026-07-05T09:50:51Z","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/2409.01537/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study an integrable equation whose solutions define a triad of one-forms describing a surface with Gaussian curvature -1. We identify a local group of diffeomorphisms that preserve these solutions and establish conserved quantities. From the symmetries, we obtain invariant solutions that provide explicit metrics for the surfaces. These solutions are unbounded and often appear in mirrored pairs. We introduce the ``collage'' method, which uses conserved quantities to remove unbounded parts and smoothly join the solutions, leading to weak solutions consistent with the conserved quantities. As ","authors_text":"Igor Leite Freire, Nazime Sales Filho, Priscila Leal da Silva","cross_cats":["math.AP","math.MP","nlin.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-03T02:13:57Z","title":"An integrable pseudospherical equation with pseudo-peakon solutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.01537","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":"sha256:0f3a073452e77aa2f4643a4241bc74bfb2aad8abe3f8418912881757ff629216","target":"record","created_at":"2026-07-05T09:50:51Z","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":"6ba475a824dc33fe1e77787cd0dba6a0f5146b2d727bc91e456a099ec97871ea","cross_cats_sorted":["math.AP","math.MP","nlin.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-03T02:13:57Z","title_canon_sha256":"5b104667daa5b17426b955760eee4b650c13c18417e108419ab40ae2103e1ea0"},"schema_version":"1.0","source":{"id":"2409.01537","kind":"arxiv","version":2}},"canonical_sha256":"82f9860d17e69565361ce452c3f3b2f0718eb7ef920c5a20be0708776281c915","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82f9860d17e69565361ce452c3f3b2f0718eb7ef920c5a20be0708776281c915","first_computed_at":"2026-07-05T09:50:51.572608Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:50:51.572608Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vGubL5WAGDmyZWpflJNFnsJ4bJ5h1zOSrgBgJgloxIFSM3FIF9zDeM5PU00bfjOQeTuIFexfUHg473zuYWu8AA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:50:51.573121Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.01537","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f3a073452e77aa2f4643a4241bc74bfb2aad8abe3f8418912881757ff629216","sha256:2e1647b9d91d19ed7f832e22ce4600f04754ea54b89cda3d3ac709856c1793d4"],"state_sha256":"dff415c10105b155d5204000b5b26ff2de6f4920c6eeee741419f9c2d61e4ae3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ncC6jaGiDd+q4o43r/ehIjRuIZYrT2I/nZ12HYlF/CstmZE4uWgqbX7iXFM5dfqZZL0YZoRRkNNYgniArLt/Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T14:52:31.559868Z","bundle_sha256":"f05079dbae58e649fa0922fdece4d3929c0e08dd9b6847d72441eeeef1039953"}}