{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TIY4X3SWE5GVIPQAYZJGUMQFBI","short_pith_number":"pith:TIY4X3SW","canonical_record":{"source":{"id":"1807.06162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-07-17T00:40:23Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"e12cde8bd1b7f368088f9eafc3172238824be9c3af2817c2bc1e9e0b1b4470b2","abstract_canon_sha256":"b5751cc912d7e733c5d3b1813e983babf8ea3c0bc5ad2c55f16ff7c00b8e750a"},"schema_version":"1.0"},"canonical_sha256":"9a31cbee56274d543e00c6526a32050a14cf6df93aead2bfa785c620e6234ba9","source":{"kind":"arxiv","id":"1807.06162","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06162","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06162v2","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06162","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"TIY4X3SWE5GV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TIY4X3SWE5GVIPQA","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TIY4X3SW","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TIY4X3SWE5GVIPQAYZJGUMQFBI","target":"record","payload":{"canonical_record":{"source":{"id":"1807.06162","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-07-17T00:40:23Z","cross_cats_sorted":["math-ph","math.DS","math.MP"],"title_canon_sha256":"e12cde8bd1b7f368088f9eafc3172238824be9c3af2817c2bc1e9e0b1b4470b2","abstract_canon_sha256":"b5751cc912d7e733c5d3b1813e983babf8ea3c0bc5ad2c55f16ff7c00b8e750a"},"schema_version":"1.0"},"canonical_sha256":"9a31cbee56274d543e00c6526a32050a14cf6df93aead2bfa785c620e6234ba9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:07.163074Z","signature_b64":"MFvXoTXssBib/7UcTtGGddk/2h7xssgIjRIIZSTgcFPz/El2H50Dxjq3zjaIm7rnYp1p69Q92IkDvGw3DMYcCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a31cbee56274d543e00c6526a32050a14cf6df93aead2bfa785c620e6234ba9","last_reissued_at":"2026-05-17T23:50:07.162398Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:07.162398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.06162","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":"2026-05-17T23:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CKL8o4vHQAyCFUSFsV642k1bnmywHSx2y4vdkz+VD+KYtqqM1l5Qa+MDSji18GCBH8L7zJG4r89EO9eB4XEiAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:52:16.967334Z"},"content_sha256":"04c69ff912239f0d120150f81a107654f8d93ed89779d92d00c6ff96d1c9aa39","schema_version":"1.0","event_id":"sha256:04c69ff912239f0d120150f81a107654f8d93ed89779d92d00c6ff96d1c9aa39"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TIY4X3SWE5GVIPQAYZJGUMQFBI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constructing Initial Value Spaces of Lattice Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.DS","math.MP"],"primary_cat":"nlin.SI","authors_text":"Matthew Nolan, Nalini Joshi, Sarah Lobb","submitted_at":"2018-07-17T00:40:23Z","abstract_excerpt":"In this paper, we examine the space of initial values for integrable lattice equations, which are lattice equations classified by Adler {\\em et al} (2003), known as ABS equations. By considering the map which iterates the solution along particular directions on the lattice, we perform resolutions of singularities for several examples of ABS equations for the first time. Our geometric observations lead to new Miura transformations and reductions to ordinary difference equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06162","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":"2026-05-17T23:50:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zuGcpZgnCGnL6zK8VEQh77JeDrz55//ibl8JjqcWEWpWNrs0ovx9MMawvTsm+Wuv2F2V2vahBBtqCmdqZy35CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T08:52:16.967684Z"},"content_sha256":"175c7f0823dc5953a3aeb50eda305b5d57757e3b89139da294667c1ba61e0a3e","schema_version":"1.0","event_id":"sha256:175c7f0823dc5953a3aeb50eda305b5d57757e3b89139da294667c1ba61e0a3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/bundle.json","state_url":"https://pith.science/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/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":"2026-06-04T08:52:16Z","links":{"resolver":"https://pith.science/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI","bundle":"https://pith.science/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/bundle.json","state":"https://pith.science/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TIY4X3SWE5GVIPQAYZJGUMQFBI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TIY4X3SWE5GVIPQAYZJGUMQFBI","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":"b5751cc912d7e733c5d3b1813e983babf8ea3c0bc5ad2c55f16ff7c00b8e750a","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-07-17T00:40:23Z","title_canon_sha256":"e12cde8bd1b7f368088f9eafc3172238824be9c3af2817c2bc1e9e0b1b4470b2"},"schema_version":"1.0","source":{"id":"1807.06162","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.06162","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"arxiv_version","alias_value":"1807.06162v2","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.06162","created_at":"2026-05-17T23:50:07Z"},{"alias_kind":"pith_short_12","alias_value":"TIY4X3SWE5GV","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"TIY4X3SWE5GVIPQA","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"TIY4X3SW","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:175c7f0823dc5953a3aeb50eda305b5d57757e3b89139da294667c1ba61e0a3e","target":"graph","created_at":"2026-05-17T23:50:07Z","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":"In this paper, we examine the space of initial values for integrable lattice equations, which are lattice equations classified by Adler {\\em et al} (2003), known as ABS equations. By considering the map which iterates the solution along particular directions on the lattice, we perform resolutions of singularities for several examples of ABS equations for the first time. Our geometric observations lead to new Miura transformations and reductions to ordinary difference equations.","authors_text":"Matthew Nolan, Nalini Joshi, Sarah Lobb","cross_cats":["math-ph","math.DS","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-07-17T00:40:23Z","title":"Constructing Initial Value Spaces of Lattice Equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.06162","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":"sha256:04c69ff912239f0d120150f81a107654f8d93ed89779d92d00c6ff96d1c9aa39","target":"record","created_at":"2026-05-17T23:50:07Z","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":"b5751cc912d7e733c5d3b1813e983babf8ea3c0bc5ad2c55f16ff7c00b8e750a","cross_cats_sorted":["math-ph","math.DS","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2018-07-17T00:40:23Z","title_canon_sha256":"e12cde8bd1b7f368088f9eafc3172238824be9c3af2817c2bc1e9e0b1b4470b2"},"schema_version":"1.0","source":{"id":"1807.06162","kind":"arxiv","version":2}},"canonical_sha256":"9a31cbee56274d543e00c6526a32050a14cf6df93aead2bfa785c620e6234ba9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9a31cbee56274d543e00c6526a32050a14cf6df93aead2bfa785c620e6234ba9","first_computed_at":"2026-05-17T23:50:07.162398Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:07.162398Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MFvXoTXssBib/7UcTtGGddk/2h7xssgIjRIIZSTgcFPz/El2H50Dxjq3zjaIm7rnYp1p69Q92IkDvGw3DMYcCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:07.163074Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.06162","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04c69ff912239f0d120150f81a107654f8d93ed89779d92d00c6ff96d1c9aa39","sha256:175c7f0823dc5953a3aeb50eda305b5d57757e3b89139da294667c1ba61e0a3e"],"state_sha256":"2c4b060830496ee93f42f660dd7b3ffe65d0a51c3d845e411ab156afc2c95584"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ynJ6N28b9XBs0DWMiqbHG980KEH1Bq0njbw41V4vSb7d+LJflo0VQALVaOnMLHRgwn6jj4O/7oKqlfLVy78BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T08:52:16.969903Z","bundle_sha256":"dcf275f5d21b0276b92d3f0b5d9778376aefd6100cc83ea7b5ff0250543670d7"}}