{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XZOTLY72RGZLB3NQO4O7FVAQPN","short_pith_number":"pith:XZOTLY72","canonical_record":{"source":{"id":"1212.3780","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-16T11:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"4b9408f31cce4ab76e4cd544d1a8ac3308077c2cd8b3472f2bd744e6f5745ee1","abstract_canon_sha256":"6c0b8da804c489992f6dfb31c6f759da8c5ffd1067ec098091d8c7171772a57c"},"schema_version":"1.0"},"canonical_sha256":"be5d35e3fa89b2b0edb0771df2d4107b4033a863d3ff9ecb4bb59e1c1fe93cc0","source":{"kind":"arxiv","id":"1212.3780","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3780","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3780v1","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3780","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"pith_short_12","alias_value":"XZOTLY72RGZL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XZOTLY72RGZLB3NQ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XZOTLY72","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XZOTLY72RGZLB3NQO4O7FVAQPN","target":"record","payload":{"canonical_record":{"source":{"id":"1212.3780","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-16T11:57:27Z","cross_cats_sorted":[],"title_canon_sha256":"4b9408f31cce4ab76e4cd544d1a8ac3308077c2cd8b3472f2bd744e6f5745ee1","abstract_canon_sha256":"6c0b8da804c489992f6dfb31c6f759da8c5ffd1067ec098091d8c7171772a57c"},"schema_version":"1.0"},"canonical_sha256":"be5d35e3fa89b2b0edb0771df2d4107b4033a863d3ff9ecb4bb59e1c1fe93cc0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:17.979448Z","signature_b64":"47P82j+R2+TS7EfbicbUoa3+23rLPV6oo0pMriYM+W38ndF4xeLUaPSzAJQSBBTc1h/aFKADKLLWGS9G09xhBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be5d35e3fa89b2b0edb0771df2d4107b4033a863d3ff9ecb4bb59e1c1fe93cc0","last_reissued_at":"2026-05-18T00:52:17.978794Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:17.978794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.3780","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":"2026-05-18T00:52:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScmHK51IwwWqLYcKXuhmc8dr9D79KV8PMYK5xLoRW8FuNVrvmC9/0QsDQlZd6T/eqWrOSoJNit6nBCFSMakTBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:33:37.055901Z"},"content_sha256":"71cf7a2fce179f73654fe08de8decf26d680070da3caef7e54aadb4036bfa827","schema_version":"1.0","event_id":"sha256:71cf7a2fce179f73654fe08de8decf26d680070da3caef7e54aadb4036bfa827"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XZOTLY72RGZLB3NQO4O7FVAQPN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Proportional Paths, Barodesy, and Granular Solid Hydrodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Mario Liu, Yimin Jiang","submitted_at":"2012-12-16T11:57:27Z","abstract_excerpt":"Propotional paths as summed up by the Goldscheider Rule (GR) -- stating that given a constant strain rate, the evolution of the stress maintains the ratios of its components -- is a characteristics of elasto-plastic motion in granular media. Barodesy, a constitutive relation proposed recently by Kolymbas, is a model that, with GR as input, successfully accounts for data from soil mechanical experiments. Granular solid hydrodynamics (GSH), a theory derived from general principles of physics and two assumptions about the basic behavior of granular media, is constructed to qualitatively account f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3780","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":"2026-05-18T00:52:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lsHT/1VPzEuSXywVfmsYb4kSOqAxRZyxEs1n7p1AVjj/K308GjDmqEJUkHhat6wwE6eUvMrBAZFvKflhWd51CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T13:33:37.056234Z"},"content_sha256":"2bfea4dcd7508cd601b7428b85116af7a8a43e22d9fa88233ed9e2c9b48f10f8","schema_version":"1.0","event_id":"sha256:2bfea4dcd7508cd601b7428b85116af7a8a43e22d9fa88233ed9e2c9b48f10f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/bundle.json","state_url":"https://pith.science/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/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":"2026-06-02T13:33:37Z","links":{"resolver":"https://pith.science/pith/XZOTLY72RGZLB3NQO4O7FVAQPN","bundle":"https://pith.science/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/bundle.json","state":"https://pith.science/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZOTLY72RGZLB3NQO4O7FVAQPN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XZOTLY72RGZLB3NQO4O7FVAQPN","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":"6c0b8da804c489992f6dfb31c6f759da8c5ffd1067ec098091d8c7171772a57c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-16T11:57:27Z","title_canon_sha256":"4b9408f31cce4ab76e4cd544d1a8ac3308077c2cd8b3472f2bd744e6f5745ee1"},"schema_version":"1.0","source":{"id":"1212.3780","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.3780","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"arxiv_version","alias_value":"1212.3780v1","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.3780","created_at":"2026-05-18T00:52:17Z"},{"alias_kind":"pith_short_12","alias_value":"XZOTLY72RGZL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XZOTLY72RGZLB3NQ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XZOTLY72","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:2bfea4dcd7508cd601b7428b85116af7a8a43e22d9fa88233ed9e2c9b48f10f8","target":"graph","created_at":"2026-05-18T00:52:17Z","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":"Propotional paths as summed up by the Goldscheider Rule (GR) -- stating that given a constant strain rate, the evolution of the stress maintains the ratios of its components -- is a characteristics of elasto-plastic motion in granular media. Barodesy, a constitutive relation proposed recently by Kolymbas, is a model that, with GR as input, successfully accounts for data from soil mechanical experiments. Granular solid hydrodynamics (GSH), a theory derived from general principles of physics and two assumptions about the basic behavior of granular media, is constructed to qualitatively account f","authors_text":"Mario Liu, Yimin Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-16T11:57:27Z","title":"Proportional Paths, Barodesy, and Granular Solid Hydrodynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.3780","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":"sha256:71cf7a2fce179f73654fe08de8decf26d680070da3caef7e54aadb4036bfa827","target":"record","created_at":"2026-05-18T00:52:17Z","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":"6c0b8da804c489992f6dfb31c6f759da8c5ffd1067ec098091d8c7171772a57c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2012-12-16T11:57:27Z","title_canon_sha256":"4b9408f31cce4ab76e4cd544d1a8ac3308077c2cd8b3472f2bd744e6f5745ee1"},"schema_version":"1.0","source":{"id":"1212.3780","kind":"arxiv","version":1}},"canonical_sha256":"be5d35e3fa89b2b0edb0771df2d4107b4033a863d3ff9ecb4bb59e1c1fe93cc0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be5d35e3fa89b2b0edb0771df2d4107b4033a863d3ff9ecb4bb59e1c1fe93cc0","first_computed_at":"2026-05-18T00:52:17.978794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:17.978794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"47P82j+R2+TS7EfbicbUoa3+23rLPV6oo0pMriYM+W38ndF4xeLUaPSzAJQSBBTc1h/aFKADKLLWGS9G09xhBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:17.979448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.3780","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:71cf7a2fce179f73654fe08de8decf26d680070da3caef7e54aadb4036bfa827","sha256:2bfea4dcd7508cd601b7428b85116af7a8a43e22d9fa88233ed9e2c9b48f10f8"],"state_sha256":"5490492aee5473eb88db113f5558983371ded1d001a0ba8b05e84e0af5027134"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DAWkozSduk/ndSn7YteZxMT/7IzRafSXFq9feBY5oUDXbUwsFGJBtNnSSegZn6BMgXLrU6gNv/7D1Z8Vl0qjBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T13:33:37.058101Z","bundle_sha256":"f20a1cfd1f76bbbe4ceed1c964abdf2d985898c8cc903a443257e370927d3b1e"}}