{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:SMDQQYLJFVG6CBL5UAWZCITWTH","short_pith_number":"pith:SMDQQYLJ","canonical_record":{"source":{"id":"1804.02587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-07T20:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"f6fd1381a2eb29069e1690ae2df7596e79d42a26787fe95de2990749404601e1","abstract_canon_sha256":"0fb84f3308e1d3bde8d348f28da06db0971acb7e82ee34091a3b3482ea9a832e"},"schema_version":"1.0"},"canonical_sha256":"93070861692d4de1057da02d91227699e98292872afbeb70b2ec04a0ab59d020","source":{"kind":"arxiv","id":"1804.02587","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02587","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02587v2","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02587","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"SMDQQYLJFVG6","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SMDQQYLJFVG6CBL5","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SMDQQYLJ","created_at":"2026-05-18T12:32:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:SMDQQYLJFVG6CBL5UAWZCITWTH","target":"record","payload":{"canonical_record":{"source":{"id":"1804.02587","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-07T20:11:47Z","cross_cats_sorted":[],"title_canon_sha256":"f6fd1381a2eb29069e1690ae2df7596e79d42a26787fe95de2990749404601e1","abstract_canon_sha256":"0fb84f3308e1d3bde8d348f28da06db0971acb7e82ee34091a3b3482ea9a832e"},"schema_version":"1.0"},"canonical_sha256":"93070861692d4de1057da02d91227699e98292872afbeb70b2ec04a0ab59d020","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:41.501242Z","signature_b64":"P+OEpa46bQPVR9YI0IAQ+pcHVnU1kzJYZy93BKT6/iJHu1KgKNpW2mFxgiUGmWVWjLDRCp+SB2jS2Qwro+zkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93070861692d4de1057da02d91227699e98292872afbeb70b2ec04a0ab59d020","last_reissued_at":"2026-05-17T23:54:41.500722Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:41.500722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.02587","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":"2026-05-17T23:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LQi81jJFpz6c6OeSt9ssE2NFa8hcbldTCZznoAZOXAim4P2MPNMsVRutg3Z3qiust4vYbyZcZFigoxX/YEEcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:24:39.983645Z"},"content_sha256":"1f0f3c39d7b514d8294ef5847c8c6b426e1aa1034df090f5ae2c6f4244c9c516","schema_version":"1.0","event_id":"sha256:1f0f3c39d7b514d8294ef5847c8c6b426e1aa1034df090f5ae2c6f4244c9c516"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:SMDQQYLJFVG6CBL5UAWZCITWTH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Positive configurations of flags in a building and limits of positive representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Giuseppe Martone","submitted_at":"2018-04-07T20:11:47Z","abstract_excerpt":"Parreau compactified the Hitchin component of a closed surface $S$ of negative Euler characteristic in such a way that a boundary point corresponds to the projectivized length spectrum of an action of $\\pi_1(S)$ on an $\\mathbb R$-Euclidean building. In this paper, we use the positivity properties of Hitchin representations introduced by Fock and Goncharov to explicitly describe the geometry of a preferred collection of apartments in the limiting building."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02587","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":"2026-05-17T23:54:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"meK4DirKuYVvqV6bEr5IRTqsAfz9RI+QlUDIMaYB53eca6RqwPx7PZ558MZckIDymHGOhhQgox5E1uTCLwnECA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T02:24:39.983985Z"},"content_sha256":"d4742a1a638845f9c62090c05709d7c97c4e8e571f3eefd29e38b3aa820b4941","schema_version":"1.0","event_id":"sha256:d4742a1a638845f9c62090c05709d7c97c4e8e571f3eefd29e38b3aa820b4941"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/bundle.json","state_url":"https://pith.science/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/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":"2026-06-21T02:24:39Z","links":{"resolver":"https://pith.science/pith/SMDQQYLJFVG6CBL5UAWZCITWTH","bundle":"https://pith.science/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/bundle.json","state":"https://pith.science/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SMDQQYLJFVG6CBL5UAWZCITWTH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SMDQQYLJFVG6CBL5UAWZCITWTH","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":"0fb84f3308e1d3bde8d348f28da06db0971acb7e82ee34091a3b3482ea9a832e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-07T20:11:47Z","title_canon_sha256":"f6fd1381a2eb29069e1690ae2df7596e79d42a26787fe95de2990749404601e1"},"schema_version":"1.0","source":{"id":"1804.02587","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.02587","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"arxiv_version","alias_value":"1804.02587v2","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.02587","created_at":"2026-05-17T23:54:41Z"},{"alias_kind":"pith_short_12","alias_value":"SMDQQYLJFVG6","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SMDQQYLJFVG6CBL5","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SMDQQYLJ","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:d4742a1a638845f9c62090c05709d7c97c4e8e571f3eefd29e38b3aa820b4941","target":"graph","created_at":"2026-05-17T23:54:41Z","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":"Parreau compactified the Hitchin component of a closed surface $S$ of negative Euler characteristic in such a way that a boundary point corresponds to the projectivized length spectrum of an action of $\\pi_1(S)$ on an $\\mathbb R$-Euclidean building. In this paper, we use the positivity properties of Hitchin representations introduced by Fock and Goncharov to explicitly describe the geometry of a preferred collection of apartments in the limiting building.","authors_text":"Giuseppe Martone","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-07T20:11:47Z","title":"Positive configurations of flags in a building and limits of positive representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02587","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":"sha256:1f0f3c39d7b514d8294ef5847c8c6b426e1aa1034df090f5ae2c6f4244c9c516","target":"record","created_at":"2026-05-17T23:54:41Z","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":"0fb84f3308e1d3bde8d348f28da06db0971acb7e82ee34091a3b3482ea9a832e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-04-07T20:11:47Z","title_canon_sha256":"f6fd1381a2eb29069e1690ae2df7596e79d42a26787fe95de2990749404601e1"},"schema_version":"1.0","source":{"id":"1804.02587","kind":"arxiv","version":2}},"canonical_sha256":"93070861692d4de1057da02d91227699e98292872afbeb70b2ec04a0ab59d020","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93070861692d4de1057da02d91227699e98292872afbeb70b2ec04a0ab59d020","first_computed_at":"2026-05-17T23:54:41.500722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:41.500722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P+OEpa46bQPVR9YI0IAQ+pcHVnU1kzJYZy93BKT6/iJHu1KgKNpW2mFxgiUGmWVWjLDRCp+SB2jS2Qwro+zkBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:41.501242Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.02587","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f0f3c39d7b514d8294ef5847c8c6b426e1aa1034df090f5ae2c6f4244c9c516","sha256:d4742a1a638845f9c62090c05709d7c97c4e8e571f3eefd29e38b3aa820b4941"],"state_sha256":"4034dc9bf46ee8e97743a6ade5bc6def9a7565d167758c2582f1779dce6f90de"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xh0kK/Z/zP2nap0bpW3MYP6G63MxFYxkGSs99J199Uw/u16ynMdY1Qn+Wrf8xnu7muxVFkBvqC8N+a2XrOtKCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T02:24:39.985999Z","bundle_sha256":"045f566369e4124be8a1483faf9680d2f6ea7c62acdfbd76cad659bc95e7f845"}}