{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:GGD7Z2DUF4N5TX7XK4U2CYNQW3","short_pith_number":"pith:GGD7Z2DU","canonical_record":{"source":{"id":"1309.2993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-09-11T22:42:55Z","cross_cats_sorted":[],"title_canon_sha256":"b8552fcf27167a6b4bb39582c1fe349fe2462e9abe036f39e529e6164a7e12c9","abstract_canon_sha256":"39f82e48ec8fd99aa2141a96eda99eff91e0873436aff90d1a6b0ce6632d7823"},"schema_version":"1.0"},"canonical_sha256":"3187fce8742f1bd9dff75729a161b0b6c84fefdd0d8ac04d61349e2d33a8d4bc","source":{"kind":"arxiv","id":"1309.2993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2993","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2993v1","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2993","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"pith_short_12","alias_value":"GGD7Z2DUF4N5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GGD7Z2DUF4N5TX7X","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GGD7Z2DU","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:GGD7Z2DUF4N5TX7XK4U2CYNQW3","target":"record","payload":{"canonical_record":{"source":{"id":"1309.2993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-09-11T22:42:55Z","cross_cats_sorted":[],"title_canon_sha256":"b8552fcf27167a6b4bb39582c1fe349fe2462e9abe036f39e529e6164a7e12c9","abstract_canon_sha256":"39f82e48ec8fd99aa2141a96eda99eff91e0873436aff90d1a6b0ce6632d7823"},"schema_version":"1.0"},"canonical_sha256":"3187fce8742f1bd9dff75729a161b0b6c84fefdd0d8ac04d61349e2d33a8d4bc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:33.162634Z","signature_b64":"y75YuYIOtuu1kpSa4jq0AZAA9rS2qUrdXAHXrhkQxpsWf/HPcKLAA3K6ILiYXAl8lpj4uNe/KSKOlgA3tad4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3187fce8742f1bd9dff75729a161b0b6c84fefdd0d8ac04d61349e2d33a8d4bc","last_reissued_at":"2026-05-18T03:13:33.161640Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:33.161640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.2993","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":"2026-05-18T03:13:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4aZStE+jiBMOyUHdMSbvHkuRCH9i7coq4PNUkt6sb5/Ofy9dPDKrxOjzgdKSy03bViFmv+x03cd88fh9QdgxBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:59:55.063627Z"},"content_sha256":"ca5a118094b3f06222add87e7f537db89c4290312f09b804ebbae526398956ee","schema_version":"1.0","event_id":"sha256:ca5a118094b3f06222add87e7f537db89c4290312f09b804ebbae526398956ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:GGD7Z2DUF4N5TX7XK4U2CYNQW3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solute transport predicts scaling of surface reaction rates in porous media: Applications to silicate weathering","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.flu-dyn","authors_text":"Allen G. Hunt, Behzad Ghanbarian, Thomas E. Skinner","submitted_at":"2013-09-11T22:42:55Z","abstract_excerpt":"We apply our theory of conservative solute transport, based on concepts from percolation theory, directly and without modification to reactive solute transport. This theory has previously been shown to predict the observed range of dispersivity values for conservative solute transport over ten orders of magnitude of length scale. We now show that the temporal dependence derived for the solute velocity accurately predicts the time-dependence for the weathering of silicate minerals over nine orders of magnitude of time scale, while its predicted length dependence agrees with data obtained for re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2993","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":"2026-05-18T03:13:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9cHTpmJjgmi1gN3yDaYFwPvUdAHgtwyGTW2eY3i9EzMhNipGqLt+N9xEDsznVKN5CWcwVq8rLcjl4B4gOMFAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T06:59:55.063966Z"},"content_sha256":"8a95087ab21f13204b615fc4537ebf5801c2285ef2ac286756c0e5073f0187e6","schema_version":"1.0","event_id":"sha256:8a95087ab21f13204b615fc4537ebf5801c2285ef2ac286756c0e5073f0187e6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/bundle.json","state_url":"https://pith.science/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/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":"2026-06-01T06:59:55Z","links":{"resolver":"https://pith.science/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3","bundle":"https://pith.science/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/bundle.json","state":"https://pith.science/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GGD7Z2DUF4N5TX7XK4U2CYNQW3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:GGD7Z2DUF4N5TX7XK4U2CYNQW3","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":"39f82e48ec8fd99aa2141a96eda99eff91e0873436aff90d1a6b0ce6632d7823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-09-11T22:42:55Z","title_canon_sha256":"b8552fcf27167a6b4bb39582c1fe349fe2462e9abe036f39e529e6164a7e12c9"},"schema_version":"1.0","source":{"id":"1309.2993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2993","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2993v1","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2993","created_at":"2026-05-18T03:13:33Z"},{"alias_kind":"pith_short_12","alias_value":"GGD7Z2DUF4N5","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"GGD7Z2DUF4N5TX7X","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"GGD7Z2DU","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:8a95087ab21f13204b615fc4537ebf5801c2285ef2ac286756c0e5073f0187e6","target":"graph","created_at":"2026-05-18T03:13:33Z","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 apply our theory of conservative solute transport, based on concepts from percolation theory, directly and without modification to reactive solute transport. This theory has previously been shown to predict the observed range of dispersivity values for conservative solute transport over ten orders of magnitude of length scale. We now show that the temporal dependence derived for the solute velocity accurately predicts the time-dependence for the weathering of silicate minerals over nine orders of magnitude of time scale, while its predicted length dependence agrees with data obtained for re","authors_text":"Allen G. Hunt, Behzad Ghanbarian, Thomas E. Skinner","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-09-11T22:42:55Z","title":"Solute transport predicts scaling of surface reaction rates in porous media: Applications to silicate weathering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2993","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:ca5a118094b3f06222add87e7f537db89c4290312f09b804ebbae526398956ee","target":"record","created_at":"2026-05-18T03:13:33Z","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":"39f82e48ec8fd99aa2141a96eda99eff91e0873436aff90d1a6b0ce6632d7823","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2013-09-11T22:42:55Z","title_canon_sha256":"b8552fcf27167a6b4bb39582c1fe349fe2462e9abe036f39e529e6164a7e12c9"},"schema_version":"1.0","source":{"id":"1309.2993","kind":"arxiv","version":1}},"canonical_sha256":"3187fce8742f1bd9dff75729a161b0b6c84fefdd0d8ac04d61349e2d33a8d4bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3187fce8742f1bd9dff75729a161b0b6c84fefdd0d8ac04d61349e2d33a8d4bc","first_computed_at":"2026-05-18T03:13:33.161640Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:33.161640Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y75YuYIOtuu1kpSa4jq0AZAA9rS2qUrdXAHXrhkQxpsWf/HPcKLAA3K6ILiYXAl8lpj4uNe/KSKOlgA3tad4Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:33.162634Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca5a118094b3f06222add87e7f537db89c4290312f09b804ebbae526398956ee","sha256:8a95087ab21f13204b615fc4537ebf5801c2285ef2ac286756c0e5073f0187e6"],"state_sha256":"045587975cff4dac060f70664c424b297549234a706c217d12ff2ddf6465594b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k2+etlS8VPRimhjwIt0ZP6m+8ULPeZwBPDJCu8x1c1/tTryGJlNLSwRbEBQ+WcsDaAJwlBUFxDRhNIcwzKAvCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T06:59:55.065782Z","bundle_sha256":"3cf5dc92a81b15cbad1be77a7f8d3ea3ab9c45e93dc7808beffbb56e8c43a70f"}}