{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4EDC6YC5BKN6GJNULT4ZI7ECH4","short_pith_number":"pith:4EDC6YC5","canonical_record":{"source":{"id":"1603.06371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-03-21T09:53:49Z","cross_cats_sorted":["cs.CY","physics.data-an","physics.soc-ph"],"title_canon_sha256":"63802569841462fd004dde5c4bab89817c0326e2c29fce1da869bf9729da5e6c","abstract_canon_sha256":"37e11eb009e96749501bc237bae2887f558f73d21434648c9234b9dd110d2d36"},"schema_version":"1.0"},"canonical_sha256":"e1062f605d0a9be325b45cf9947c823f122dda38602483aa93dd6ac1a5585254","source":{"kind":"arxiv","id":"1603.06371","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06371","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06371v1","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06371","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"pith_short_12","alias_value":"4EDC6YC5BKN6","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EDC6YC5BKN6GJNU","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EDC6YC5","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4EDC6YC5BKN6GJNULT4ZI7ECH4","target":"record","payload":{"canonical_record":{"source":{"id":"1603.06371","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-03-21T09:53:49Z","cross_cats_sorted":["cs.CY","physics.data-an","physics.soc-ph"],"title_canon_sha256":"63802569841462fd004dde5c4bab89817c0326e2c29fce1da869bf9729da5e6c","abstract_canon_sha256":"37e11eb009e96749501bc237bae2887f558f73d21434648c9234b9dd110d2d36"},"schema_version":"1.0"},"canonical_sha256":"e1062f605d0a9be325b45cf9947c823f122dda38602483aa93dd6ac1a5585254","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:48.666727Z","signature_b64":"emV4H5Du5FPxRZ9qcw5r3afpDpmL7tkW2OaV3cw8f8QJoxHgw0qwLc7ouuiPfhakVhcnU8TqvO7kJjkAK9vRAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e1062f605d0a9be325b45cf9947c823f122dda38602483aa93dd6ac1a5585254","last_reissued_at":"2026-05-18T01:18:48.666050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:48.666050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.06371","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":"2026-05-18T01:18:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/1EBfteq9EiNj5G9VKksAUyLYpZO8P3OBrc/cFsSDBqsW4ub0247CDt5IdBoRcjGta0LKHt7PTE//tj7KQvQBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:11:04.732303Z"},"content_sha256":"06fd8da02dd3a6ed598f0930f5414b10e45517c5a9af098a1fb49e81342336c7","schema_version":"1.0","event_id":"sha256:06fd8da02dd3a6ed598f0930f5414b10e45517c5a9af098a1fb49e81342336c7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4EDC6YC5BKN6GJNULT4ZI7ECH4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The classical origin of modern mathematics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CY","physics.data-an","physics.soc-ph"],"primary_cat":"math.HO","authors_text":"Auguste Caen, Floriana Gargiulo, Renaud Lambiotte, Timoteo Carletti","submitted_at":"2016-03-21T09:53:49Z","abstract_excerpt":"The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database includes a large number (N~200K) of advisor-student relationships, with affiliations and keywords on their research topic, over several centuries, from the 14th century until today. We focus on two different topics, the evolving importance of countries and of the research disciplines over time. Moreover we study the database at three levels, its global statistics, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06371","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":"2026-05-18T01:18:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyWF14XwO4GM0Mra0XHGO1SH1+00W4dUgVO7RrUlyKlkJ3zrDHz2MwdT9aEkuO4KGDdlFn0gVGmNJivsJd/VAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T20:11:04.732662Z"},"content_sha256":"7891806fca1e7c2a2c9a8ea146b7d941bfd6b1b8996a1367ed9477e453e4986d","schema_version":"1.0","event_id":"sha256:7891806fca1e7c2a2c9a8ea146b7d941bfd6b1b8996a1367ed9477e453e4986d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/bundle.json","state_url":"https://pith.science/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/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":"2026-06-04T20:11:04Z","links":{"resolver":"https://pith.science/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4","bundle":"https://pith.science/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/bundle.json","state":"https://pith.science/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EDC6YC5BKN6GJNULT4ZI7ECH4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4EDC6YC5BKN6GJNULT4ZI7ECH4","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":"37e11eb009e96749501bc237bae2887f558f73d21434648c9234b9dd110d2d36","cross_cats_sorted":["cs.CY","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-03-21T09:53:49Z","title_canon_sha256":"63802569841462fd004dde5c4bab89817c0326e2c29fce1da869bf9729da5e6c"},"schema_version":"1.0","source":{"id":"1603.06371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.06371","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"arxiv_version","alias_value":"1603.06371v1","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.06371","created_at":"2026-05-18T01:18:48Z"},{"alias_kind":"pith_short_12","alias_value":"4EDC6YC5BKN6","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4EDC6YC5BKN6GJNU","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4EDC6YC5","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:7891806fca1e7c2a2c9a8ea146b7d941bfd6b1b8996a1367ed9477e453e4986d","target":"graph","created_at":"2026-05-18T01:18:48Z","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":"The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database includes a large number (N~200K) of advisor-student relationships, with affiliations and keywords on their research topic, over several centuries, from the 14th century until today. We focus on two different topics, the evolving importance of countries and of the research disciplines over time. Moreover we study the database at three levels, its global statistics, ","authors_text":"Auguste Caen, Floriana Gargiulo, Renaud Lambiotte, Timoteo Carletti","cross_cats":["cs.CY","physics.data-an","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-03-21T09:53:49Z","title":"The classical origin of modern mathematics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.06371","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":"sha256:06fd8da02dd3a6ed598f0930f5414b10e45517c5a9af098a1fb49e81342336c7","target":"record","created_at":"2026-05-18T01:18:48Z","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":"37e11eb009e96749501bc237bae2887f558f73d21434648c9234b9dd110d2d36","cross_cats_sorted":["cs.CY","physics.data-an","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-03-21T09:53:49Z","title_canon_sha256":"63802569841462fd004dde5c4bab89817c0326e2c29fce1da869bf9729da5e6c"},"schema_version":"1.0","source":{"id":"1603.06371","kind":"arxiv","version":1}},"canonical_sha256":"e1062f605d0a9be325b45cf9947c823f122dda38602483aa93dd6ac1a5585254","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e1062f605d0a9be325b45cf9947c823f122dda38602483aa93dd6ac1a5585254","first_computed_at":"2026-05-18T01:18:48.666050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:48.666050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"emV4H5Du5FPxRZ9qcw5r3afpDpmL7tkW2OaV3cw8f8QJoxHgw0qwLc7ouuiPfhakVhcnU8TqvO7kJjkAK9vRAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:48.666727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.06371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06fd8da02dd3a6ed598f0930f5414b10e45517c5a9af098a1fb49e81342336c7","sha256:7891806fca1e7c2a2c9a8ea146b7d941bfd6b1b8996a1367ed9477e453e4986d"],"state_sha256":"001301c37d50c7edaca7ffb2aa48e58240bc5662c7e94a075bb275ceb8984b7d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0CKP+mIbaUyGjuCADgQB4cS+K2ikbMlbEwZGZ0OvFEoV8HuVU+exDPk2HqwPae7VrE6iS0a2vRveu7aU7jsQCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T20:11:04.734669Z","bundle_sha256":"369217d8e4ef1d126748b1b4d73788fa51c7034ff1bd67935f4e8d0731234519"}}