{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:URTW4OWIWHQHYD4BRKBITHLXVR","short_pith_number":"pith:URTW4OWI","canonical_record":{"source":{"id":"1703.01853","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-06T13:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"b262d40695fc6dcfafcd1865dfeef1e355b034f6a798d4424cdb699821afd720","abstract_canon_sha256":"b69bd91102cb710444ac78641c2ba4bc31feee8fe6c1f421e767cb053a1ff7d0"},"schema_version":"1.0"},"canonical_sha256":"a4676e3ac8b1e07c0f818a82899d77ac6c6ef86f928b249af5e3bd582be2f76f","source":{"kind":"arxiv","id":"1703.01853","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01853","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01853v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01853","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"URTW4OWIWHQH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"URTW4OWIWHQHYD4B","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"URTW4OWI","created_at":"2026-05-18T12:31:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:URTW4OWIWHQHYD4BRKBITHLXVR","target":"record","payload":{"canonical_record":{"source":{"id":"1703.01853","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-06T13:05:23Z","cross_cats_sorted":[],"title_canon_sha256":"b262d40695fc6dcfafcd1865dfeef1e355b034f6a798d4424cdb699821afd720","abstract_canon_sha256":"b69bd91102cb710444ac78641c2ba4bc31feee8fe6c1f421e767cb053a1ff7d0"},"schema_version":"1.0"},"canonical_sha256":"a4676e3ac8b1e07c0f818a82899d77ac6c6ef86f928b249af5e3bd582be2f76f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:29.508353Z","signature_b64":"WaVGW0aihbW0JFWz6nv/GE3PDyunLXEvOMHWKB1SwZG0rKeX4jpd4+BQ9UEmFA40LRP604WGzx2giIjumxuDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a4676e3ac8b1e07c0f818a82899d77ac6c6ef86f928b249af5e3bd582be2f76f","last_reissued_at":"2026-05-18T00:49:29.507716Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:29.507716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1703.01853","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":"2026-05-18T00:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KoJ4LzMTiwrApmvA5a4osF9719yYij4KbI8jEAbC+lxDnY7A2jVR1ubZN+TTuRSI2XHeG5j2X3RrFBN1VVwACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:47:12.785253Z"},"content_sha256":"24d5f29bf5a5f8869ba7c130b30afc09d69297fd92ccc47d0bc373c003ead966","schema_version":"1.0","event_id":"sha256:24d5f29bf5a5f8869ba7c130b30afc09d69297fd92ccc47d0bc373c003ead966"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:URTW4OWIWHQHYD4BRKBITHLXVR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Laplacian solitons: questions and homogeneous examples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jorge Lauret","submitted_at":"2017-03-06T13:05:23Z","abstract_excerpt":"We give the first examples of closed Laplacian solitons which are shrinking, and in particular produce closed Laplacian flow solutions with a finite-time singularity. Extremally Ricci pinched G2-structures (introduced by Bryant) which are steady Laplacian solitons have also been found. All the examples are left-invariant G2-structures on solvable Lie groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01853","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":"2026-05-18T00:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1eJf4DOU1C6KxBfrvymS5SEll9yZA6elhO6l2DTjHOUW9376fARChL5R6UBGmUi4VrBXzCZoDES/iCIfgPvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T02:47:12.785638Z"},"content_sha256":"257f06c25beb03a78f14e475cd8bf8a7228665e089805e3d17ce8e7def8b0764","schema_version":"1.0","event_id":"sha256:257f06c25beb03a78f14e475cd8bf8a7228665e089805e3d17ce8e7def8b0764"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/URTW4OWIWHQHYD4BRKBITHLXVR/bundle.json","state_url":"https://pith.science/pith/URTW4OWIWHQHYD4BRKBITHLXVR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/URTW4OWIWHQHYD4BRKBITHLXVR/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":"2026-06-23T02:47:12Z","links":{"resolver":"https://pith.science/pith/URTW4OWIWHQHYD4BRKBITHLXVR","bundle":"https://pith.science/pith/URTW4OWIWHQHYD4BRKBITHLXVR/bundle.json","state":"https://pith.science/pith/URTW4OWIWHQHYD4BRKBITHLXVR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/URTW4OWIWHQHYD4BRKBITHLXVR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:URTW4OWIWHQHYD4BRKBITHLXVR","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":"b69bd91102cb710444ac78641c2ba4bc31feee8fe6c1f421e767cb053a1ff7d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-06T13:05:23Z","title_canon_sha256":"b262d40695fc6dcfafcd1865dfeef1e355b034f6a798d4424cdb699821afd720"},"schema_version":"1.0","source":{"id":"1703.01853","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01853","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01853v1","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01853","created_at":"2026-05-18T00:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"URTW4OWIWHQH","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_16","alias_value":"URTW4OWIWHQHYD4B","created_at":"2026-05-18T12:31:49Z"},{"alias_kind":"pith_short_8","alias_value":"URTW4OWI","created_at":"2026-05-18T12:31:49Z"}],"graph_snapshots":[{"event_id":"sha256:257f06c25beb03a78f14e475cd8bf8a7228665e089805e3d17ce8e7def8b0764","target":"graph","created_at":"2026-05-18T00:49:29Z","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 give the first examples of closed Laplacian solitons which are shrinking, and in particular produce closed Laplacian flow solutions with a finite-time singularity. Extremally Ricci pinched G2-structures (introduced by Bryant) which are steady Laplacian solitons have also been found. All the examples are left-invariant G2-structures on solvable Lie groups.","authors_text":"Jorge Lauret","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-06T13:05:23Z","title":"Laplacian solitons: questions and homogeneous examples"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01853","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":"sha256:24d5f29bf5a5f8869ba7c130b30afc09d69297fd92ccc47d0bc373c003ead966","target":"record","created_at":"2026-05-18T00:49:29Z","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":"b69bd91102cb710444ac78641c2ba4bc31feee8fe6c1f421e767cb053a1ff7d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-03-06T13:05:23Z","title_canon_sha256":"b262d40695fc6dcfafcd1865dfeef1e355b034f6a798d4424cdb699821afd720"},"schema_version":"1.0","source":{"id":"1703.01853","kind":"arxiv","version":1}},"canonical_sha256":"a4676e3ac8b1e07c0f818a82899d77ac6c6ef86f928b249af5e3bd582be2f76f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a4676e3ac8b1e07c0f818a82899d77ac6c6ef86f928b249af5e3bd582be2f76f","first_computed_at":"2026-05-18T00:49:29.507716Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:29.507716Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WaVGW0aihbW0JFWz6nv/GE3PDyunLXEvOMHWKB1SwZG0rKeX4jpd4+BQ9UEmFA40LRP604WGzx2giIjumxuDCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:29.508353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01853","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24d5f29bf5a5f8869ba7c130b30afc09d69297fd92ccc47d0bc373c003ead966","sha256:257f06c25beb03a78f14e475cd8bf8a7228665e089805e3d17ce8e7def8b0764"],"state_sha256":"ef814c1c4ac862770f2d62196f9490afa60f9fdcec3cf867c01a7aa282008160"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4F03DenfEF8gWG18fpDL1y9A/CiNR3pNPuLrnHfgZitm+PFNpAM03O6/mh/wTpaoehS6llZ6VctolqpgGrDADA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T02:47:12.788990Z","bundle_sha256":"1665985ccc3e1eedc692a7d416ad6f6386791e2cceb8b2ad520d1252b733990e"}}