{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:DJP3D4KQPXP5ELYX5MBQHXI3OF","short_pith_number":"pith:DJP3D4KQ","canonical_record":{"source":{"id":"0804.0477","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-04-03T06:30:54Z","cross_cats_sorted":[],"title_canon_sha256":"d92f39c26f4ecaf2b396a578533f5d05577eb03de6621fdbc817cd85619e459c","abstract_canon_sha256":"3ac94575962492ae3ce61abc33c5f5d85745a926202e6f1c72cfcfd6b7233451"},"schema_version":"1.0"},"canonical_sha256":"1a5fb1f1507ddfd22f17eb0303dd1b7144e924a0c5c62732b27cb16d9eed49a5","source":{"kind":"arxiv","id":"0804.0477","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0477","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0477v3","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0477","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"DJP3D4KQPXP5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"DJP3D4KQPXP5ELYX","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"DJP3D4KQ","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:DJP3D4KQPXP5ELYX5MBQHXI3OF","target":"record","payload":{"canonical_record":{"source":{"id":"0804.0477","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-04-03T06:30:54Z","cross_cats_sorted":[],"title_canon_sha256":"d92f39c26f4ecaf2b396a578533f5d05577eb03de6621fdbc817cd85619e459c","abstract_canon_sha256":"3ac94575962492ae3ce61abc33c5f5d85745a926202e6f1c72cfcfd6b7233451"},"schema_version":"1.0"},"canonical_sha256":"1a5fb1f1507ddfd22f17eb0303dd1b7144e924a0c5c62732b27cb16d9eed49a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:04.797826Z","signature_b64":"TMMbLpkGub1ivlqZXTxjPMUYTetx0k7DIsqD2uVCRwWHv7iOXUsqDJP4kg95rMMTswPgpJYXGxviHoZ+bVveAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a5fb1f1507ddfd22f17eb0303dd1b7144e924a0c5c62732b27cb16d9eed49a5","last_reissued_at":"2026-05-18T01:24:04.797094Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:04.797094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0804.0477","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nKtBE/Wwxa5fFKBTZx3EYE3+4NTqfCXUzxVK7PIiu7n4AUB9vej31XIkDciQWj+xeG16kDA4x0/RRODbsZR0BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:13:59.248501Z"},"content_sha256":"ee78112dabc6537a6bf93d51f9188f689d841ac3d6f799d3384ccbcd75d467d0","schema_version":"1.0","event_id":"sha256:ee78112dabc6537a6bf93d51f9188f689d841ac3d6f799d3384ccbcd75d467d0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:DJP3D4KQPXP5ELYX5MBQHXI3OF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Rheology and dynamical heterogeneity in frictionless beads at jamming density","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Takahiro Hatano","submitted_at":"2008-04-03T06:30:54Z","abstract_excerpt":"We investigate the rheological properties of an assembly of inelastic (but frictionless) particles close to the jamming density using numerical simulation, in which uniform steady states with a constant shear rate $\\dot\\gamma$ is realized. The system behaves as a power-law fluid and the relevant exponents are estimated; e.g., the shear stress is proportional to $\\dot\\gamma^{1/\\delta_S}$, where $1/\\delta_S=0.64(2)$. It is also found that the relaxation time $\\tau$ and the correlation length $\\xi$ of the velocity increase obeying power laws: $\\tau\\sim\\dot\\gamma^{-\\beta}$ and $\\xi\\sim\\dot\\gamma^{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0477","kind":"arxiv","version":3},"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":"2026-05-18T01:24:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Bn/NTVao0eElDNAmJzE1Q50cikB06tQ+1pR/8VmgEZ1U/O2HDpz4NHLqGUcEShPppRnOhNFqc/0QrjQbqo+IAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T09:13:59.248835Z"},"content_sha256":"323f3d59d4f93e87146ee29d07ac97ac135cbf8964edd9e310dc9222ba8269fd","schema_version":"1.0","event_id":"sha256:323f3d59d4f93e87146ee29d07ac97ac135cbf8964edd9e310dc9222ba8269fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/bundle.json","state_url":"https://pith.science/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/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":"2026-06-22T09:13:59Z","links":{"resolver":"https://pith.science/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF","bundle":"https://pith.science/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/bundle.json","state":"https://pith.science/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJP3D4KQPXP5ELYX5MBQHXI3OF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:DJP3D4KQPXP5ELYX5MBQHXI3OF","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":"3ac94575962492ae3ce61abc33c5f5d85745a926202e6f1c72cfcfd6b7233451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-04-03T06:30:54Z","title_canon_sha256":"d92f39c26f4ecaf2b396a578533f5d05577eb03de6621fdbc817cd85619e459c"},"schema_version":"1.0","source":{"id":"0804.0477","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.0477","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"arxiv_version","alias_value":"0804.0477v3","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.0477","created_at":"2026-05-18T01:24:04Z"},{"alias_kind":"pith_short_12","alias_value":"DJP3D4KQPXP5","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"DJP3D4KQPXP5ELYX","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"DJP3D4KQ","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:323f3d59d4f93e87146ee29d07ac97ac135cbf8964edd9e310dc9222ba8269fd","target":"graph","created_at":"2026-05-18T01:24:04Z","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 investigate the rheological properties of an assembly of inelastic (but frictionless) particles close to the jamming density using numerical simulation, in which uniform steady states with a constant shear rate $\\dot\\gamma$ is realized. The system behaves as a power-law fluid and the relevant exponents are estimated; e.g., the shear stress is proportional to $\\dot\\gamma^{1/\\delta_S}$, where $1/\\delta_S=0.64(2)$. It is also found that the relaxation time $\\tau$ and the correlation length $\\xi$ of the velocity increase obeying power laws: $\\tau\\sim\\dot\\gamma^{-\\beta}$ and $\\xi\\sim\\dot\\gamma^{","authors_text":"Takahiro Hatano","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-04-03T06:30:54Z","title":"Rheology and dynamical heterogeneity in frictionless beads at jamming density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.0477","kind":"arxiv","version":3},"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:ee78112dabc6537a6bf93d51f9188f689d841ac3d6f799d3384ccbcd75d467d0","target":"record","created_at":"2026-05-18T01:24:04Z","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":"3ac94575962492ae3ce61abc33c5f5d85745a926202e6f1c72cfcfd6b7233451","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-04-03T06:30:54Z","title_canon_sha256":"d92f39c26f4ecaf2b396a578533f5d05577eb03de6621fdbc817cd85619e459c"},"schema_version":"1.0","source":{"id":"0804.0477","kind":"arxiv","version":3}},"canonical_sha256":"1a5fb1f1507ddfd22f17eb0303dd1b7144e924a0c5c62732b27cb16d9eed49a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a5fb1f1507ddfd22f17eb0303dd1b7144e924a0c5c62732b27cb16d9eed49a5","first_computed_at":"2026-05-18T01:24:04.797094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:04.797094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TMMbLpkGub1ivlqZXTxjPMUYTetx0k7DIsqD2uVCRwWHv7iOXUsqDJP4kg95rMMTswPgpJYXGxviHoZ+bVveAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:04.797826Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.0477","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee78112dabc6537a6bf93d51f9188f689d841ac3d6f799d3384ccbcd75d467d0","sha256:323f3d59d4f93e87146ee29d07ac97ac135cbf8964edd9e310dc9222ba8269fd"],"state_sha256":"6ba4ea7aed8911688fe0d661542ea03478c841a8726c9aa206c9f85a79cdb5c3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3uBNEhYqbJr4HdpVv/PEZszK8x7vnngDI/ErBQJndD/QUXC6ZQyxaYnLFFYwM7WPubAKuRq1mQPtnhVCa3GYCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T09:13:59.250712Z","bundle_sha256":"48c896ece0355bc77c610dd3c27236f31897d0bae700099a1ea37c986e5f1c9a"}}