{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:6YTRKVUEHT3XY24VQSZR6S3QEX","short_pith_number":"pith:6YTRKVUE","canonical_record":{"source":{"id":"1301.6958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-29T15:54:42Z","cross_cats_sorted":["physics.data-an","physics.geo-ph"],"title_canon_sha256":"500faedfb54ab82c7cd7c9270f9679059911f35e207054b8eb18a0f084a78ce8","abstract_canon_sha256":"098ad42b03e6e589df6eba99364f42e1dac36144997f0f38ea07ff33ea503ad2"},"schema_version":"1.0"},"canonical_sha256":"f6271556843cf77c6b9584b31f4b7025e54e3153e4290f9c5846b9a3c494fefe","source":{"kind":"arxiv","id":"1301.6958","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6958","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6958v1","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6958","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"pith_short_12","alias_value":"6YTRKVUEHT3X","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6YTRKVUEHT3XY24V","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6YTRKVUE","created_at":"2026-05-18T12:27:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:6YTRKVUEHT3XY24VQSZR6S3QEX","target":"record","payload":{"canonical_record":{"source":{"id":"1301.6958","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-29T15:54:42Z","cross_cats_sorted":["physics.data-an","physics.geo-ph"],"title_canon_sha256":"500faedfb54ab82c7cd7c9270f9679059911f35e207054b8eb18a0f084a78ce8","abstract_canon_sha256":"098ad42b03e6e589df6eba99364f42e1dac36144997f0f38ea07ff33ea503ad2"},"schema_version":"1.0"},"canonical_sha256":"f6271556843cf77c6b9584b31f4b7025e54e3153e4290f9c5846b9a3c494fefe","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:03.047632Z","signature_b64":"z7hkvl+eWuLaYSgR8xQ5uBuiixLUoYTqVFnortjYuGdR7xtHJfO4NO+iv2nHq48G0NOEo9fZrxPqk9dNg1oNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f6271556843cf77c6b9584b31f4b7025e54e3153e4290f9c5846b9a3c494fefe","last_reissued_at":"2026-05-18T03:35:03.046924Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:03.046924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.6958","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":"2026-05-18T03:35:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RdFAS+FxnIJmwpbVCmffZxluAahqjfNbecWL4scQU4HvstnlGfn3MK37K1GeR6caisEy9ZEW8oQTcOd1MNqmBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:33:56.937003Z"},"content_sha256":"c65a003cc717b48de609b0ef3f39702f7a509530b0a393882fe064b6b35852ca","schema_version":"1.0","event_id":"sha256:c65a003cc717b48de609b0ef3f39702f7a509530b0a393882fe064b6b35852ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:6YTRKVUEHT3XY24VQSZR6S3QEX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Virtual water controlled demographic growth of nations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.data-an","physics.geo-ph"],"primary_cat":"physics.soc-ph","authors_text":"Amos Maritan, Andrea Rinaldo, Paolo D'Odorico, Samir Suweis","submitted_at":"2013-01-29T15:54:42Z","abstract_excerpt":"Population growth is in general constrained by food production, which in turn depends on the access to water resources. At a country level, some populations use more water than they control because of their ability to import food and the virtual water required for its production. Here, we investigate the dependence of demographic growth on available water resources for exporting and importing nations. By quantifying the carrying capacity of nations based on calculations of the virtual water available through the food trade network, we point to the existence of a global water unbalance. We sugg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6958","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":"2026-05-18T03:35:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZrLWLMdCytsCEbb3Bs0HErBuW3sqrE2vIWXGRwgdlV56MsXmyjme7W89iy5Yagr7FFSJe1xvd/mHfiTKr8EQAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T17:33:56.937641Z"},"content_sha256":"023f1cb1da74a0370bc4f64d2a1bb86ea7d0199b3377c3adba0574488f70cad3","schema_version":"1.0","event_id":"sha256:023f1cb1da74a0370bc4f64d2a1bb86ea7d0199b3377c3adba0574488f70cad3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/bundle.json","state_url":"https://pith.science/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/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":"2026-05-27T17:33:56Z","links":{"resolver":"https://pith.science/pith/6YTRKVUEHT3XY24VQSZR6S3QEX","bundle":"https://pith.science/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/bundle.json","state":"https://pith.science/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6YTRKVUEHT3XY24VQSZR6S3QEX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:6YTRKVUEHT3XY24VQSZR6S3QEX","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":"098ad42b03e6e589df6eba99364f42e1dac36144997f0f38ea07ff33ea503ad2","cross_cats_sorted":["physics.data-an","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-29T15:54:42Z","title_canon_sha256":"500faedfb54ab82c7cd7c9270f9679059911f35e207054b8eb18a0f084a78ce8"},"schema_version":"1.0","source":{"id":"1301.6958","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.6958","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"arxiv_version","alias_value":"1301.6958v1","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.6958","created_at":"2026-05-18T03:35:03Z"},{"alias_kind":"pith_short_12","alias_value":"6YTRKVUEHT3X","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_16","alias_value":"6YTRKVUEHT3XY24V","created_at":"2026-05-18T12:27:36Z"},{"alias_kind":"pith_short_8","alias_value":"6YTRKVUE","created_at":"2026-05-18T12:27:36Z"}],"graph_snapshots":[{"event_id":"sha256:023f1cb1da74a0370bc4f64d2a1bb86ea7d0199b3377c3adba0574488f70cad3","target":"graph","created_at":"2026-05-18T03:35:03Z","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":"Population growth is in general constrained by food production, which in turn depends on the access to water resources. At a country level, some populations use more water than they control because of their ability to import food and the virtual water required for its production. Here, we investigate the dependence of demographic growth on available water resources for exporting and importing nations. By quantifying the carrying capacity of nations based on calculations of the virtual water available through the food trade network, we point to the existence of a global water unbalance. We sugg","authors_text":"Amos Maritan, Andrea Rinaldo, Paolo D'Odorico, Samir Suweis","cross_cats":["physics.data-an","physics.geo-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-29T15:54:42Z","title":"Virtual water controlled demographic growth of nations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.6958","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:c65a003cc717b48de609b0ef3f39702f7a509530b0a393882fe064b6b35852ca","target":"record","created_at":"2026-05-18T03:35:03Z","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":"098ad42b03e6e589df6eba99364f42e1dac36144997f0f38ea07ff33ea503ad2","cross_cats_sorted":["physics.data-an","physics.geo-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-01-29T15:54:42Z","title_canon_sha256":"500faedfb54ab82c7cd7c9270f9679059911f35e207054b8eb18a0f084a78ce8"},"schema_version":"1.0","source":{"id":"1301.6958","kind":"arxiv","version":1}},"canonical_sha256":"f6271556843cf77c6b9584b31f4b7025e54e3153e4290f9c5846b9a3c494fefe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6271556843cf77c6b9584b31f4b7025e54e3153e4290f9c5846b9a3c494fefe","first_computed_at":"2026-05-18T03:35:03.046924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:03.046924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z7hkvl+eWuLaYSgR8xQ5uBuiixLUoYTqVFnortjYuGdR7xtHJfO4NO+iv2nHq48G0NOEo9fZrxPqk9dNg1oNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:03.047632Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.6958","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c65a003cc717b48de609b0ef3f39702f7a509530b0a393882fe064b6b35852ca","sha256:023f1cb1da74a0370bc4f64d2a1bb86ea7d0199b3377c3adba0574488f70cad3"],"state_sha256":"0262b4c615809ac3f0538068e27c55e1b9fcbe0b4e56a98266135df3e9af7975"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ORiMwX6C4p5hxqYymaxJTwc4v8+4bcHZUldSHIjnx2tf/a2kKqa7ZCKHQFr/kOuFCPqDA3Cw3+27vATvssW/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T17:33:56.940515Z","bundle_sha256":"e49f500e14d03e757f5c2b79ae37bad091d0241e765e0cf5e63f20c1caa0b4da"}}