{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:H62FDMCRQADJYDUEBLLGVO5XIT","short_pith_number":"pith:H62FDMCR","canonical_record":{"source":{"id":"1508.03730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-15T12:52:22Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"77101efd1dc3913aeea2536b152c9fdd7fc104464bef3e24db506e0a268f3138","abstract_canon_sha256":"1b78936b76962b509fe90086aca2dade0869dd52a99c212e89226bdc0dbf29e4"},"schema_version":"1.0"},"canonical_sha256":"3fb451b05180069c0e840ad66abbb744c895b81782d0afe386aa89671d3df82f","source":{"kind":"arxiv","id":"1508.03730","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03730","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03730v1","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03730","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"H62FDMCRQADJ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H62FDMCRQADJYDUE","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H62FDMCR","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:H62FDMCRQADJYDUEBLLGVO5XIT","target":"record","payload":{"canonical_record":{"source":{"id":"1508.03730","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-15T12:52:22Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"77101efd1dc3913aeea2536b152c9fdd7fc104464bef3e24db506e0a268f3138","abstract_canon_sha256":"1b78936b76962b509fe90086aca2dade0869dd52a99c212e89226bdc0dbf29e4"},"schema_version":"1.0"},"canonical_sha256":"3fb451b05180069c0e840ad66abbb744c895b81782d0afe386aa89671d3df82f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:47.448676Z","signature_b64":"lbfMCboZ7QRuq+BNitw2G/NP7jpaeB/SmpoArfD7PtC3tls8kazPVkscjXO6U/V/dyyY7w+A/K4oCW5bC6j+DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fb451b05180069c0e840ad66abbb744c895b81782d0afe386aa89671d3df82f","last_reissued_at":"2026-05-18T01:34:47.448063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:47.448063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.03730","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":"2026-05-18T01:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2hCnlSy1G9rB3um1Pq+bCoDk+nme7vXZuiI8+u/5ynWFN9z6eYmF0l1z30x+VspnyI3GeyK1UtDg1oLwX9uCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:47:00.564277Z"},"content_sha256":"12eed3b7af26a03253c95428b2d2ee925c08dbc68cd15947bcf877abeeb0064e","schema_version":"1.0","event_id":"sha256:12eed3b7af26a03253c95428b2d2ee925c08dbc68cd15947bcf877abeeb0064e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:H62FDMCRQADJYDUEBLLGVO5XIT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Shear stress relaxation and ensemble transformation of shear stress autocorrelation functions revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"H. Xu, J. Baschnagel, J.P. Wittmer","submitted_at":"2015-08-15T12:52:22Z","abstract_excerpt":"We revisit the relation between the shear stress relaxation modulus $G(t)$, computed at finite shear strain $0 < \\gamma \\ll 1$, and the shear stress autocorrelation functions $C(t)|_{\\gamma}$ and $C(t)|_{\\tau}$ computed, respectively, at imposed strain $\\gamma$ and mean stress $\\tau$. Focusing on permanent isotropic spring networks it is shown theoretically and computationally that in general $G(t) = C(t)|_{\\tau} = C(t)|_{\\gamma} + G_{eq}$ for $t > 0$ with $G_{eq}$ being the static equilibrium shear modulus. $G(t)$ and $C(t)|_{\\gamma}$ thus must become different for solids and it is impossible"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03730","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":"2026-05-18T01:34:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9jGSoaT4Q3in/+OAP/QHeNhMkTGnBj/WkXcem0d046grCjdOVSd5ja3sfgMQgnoW+x/JXWs4gTekXNZFsV2uBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T19:47:00.564652Z"},"content_sha256":"50e42d35e25af9144aacc68d90ba8c02da61ec4b22a91854002ae906738ca484","schema_version":"1.0","event_id":"sha256:50e42d35e25af9144aacc68d90ba8c02da61ec4b22a91854002ae906738ca484"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H62FDMCRQADJYDUEBLLGVO5XIT/bundle.json","state_url":"https://pith.science/pith/H62FDMCRQADJYDUEBLLGVO5XIT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H62FDMCRQADJYDUEBLLGVO5XIT/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":"2026-06-20T19:47:00Z","links":{"resolver":"https://pith.science/pith/H62FDMCRQADJYDUEBLLGVO5XIT","bundle":"https://pith.science/pith/H62FDMCRQADJYDUEBLLGVO5XIT/bundle.json","state":"https://pith.science/pith/H62FDMCRQADJYDUEBLLGVO5XIT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H62FDMCRQADJYDUEBLLGVO5XIT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:H62FDMCRQADJYDUEBLLGVO5XIT","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":"1b78936b76962b509fe90086aca2dade0869dd52a99c212e89226bdc0dbf29e4","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-15T12:52:22Z","title_canon_sha256":"77101efd1dc3913aeea2536b152c9fdd7fc104464bef3e24db506e0a268f3138"},"schema_version":"1.0","source":{"id":"1508.03730","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.03730","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"arxiv_version","alias_value":"1508.03730v1","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.03730","created_at":"2026-05-18T01:34:47Z"},{"alias_kind":"pith_short_12","alias_value":"H62FDMCRQADJ","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"H62FDMCRQADJYDUE","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"H62FDMCR","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:50e42d35e25af9144aacc68d90ba8c02da61ec4b22a91854002ae906738ca484","target":"graph","created_at":"2026-05-18T01:34:47Z","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 revisit the relation between the shear stress relaxation modulus $G(t)$, computed at finite shear strain $0 < \\gamma \\ll 1$, and the shear stress autocorrelation functions $C(t)|_{\\gamma}$ and $C(t)|_{\\tau}$ computed, respectively, at imposed strain $\\gamma$ and mean stress $\\tau$. Focusing on permanent isotropic spring networks it is shown theoretically and computationally that in general $G(t) = C(t)|_{\\tau} = C(t)|_{\\gamma} + G_{eq}$ for $t > 0$ with $G_{eq}$ being the static equilibrium shear modulus. $G(t)$ and $C(t)|_{\\gamma}$ thus must become different for solids and it is impossible","authors_text":"H. Xu, J. Baschnagel, J.P. Wittmer","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-15T12:52:22Z","title":"Shear stress relaxation and ensemble transformation of shear stress autocorrelation functions revisited"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.03730","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":"sha256:12eed3b7af26a03253c95428b2d2ee925c08dbc68cd15947bcf877abeeb0064e","target":"record","created_at":"2026-05-18T01:34:47Z","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":"1b78936b76962b509fe90086aca2dade0869dd52a99c212e89226bdc0dbf29e4","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-08-15T12:52:22Z","title_canon_sha256":"77101efd1dc3913aeea2536b152c9fdd7fc104464bef3e24db506e0a268f3138"},"schema_version":"1.0","source":{"id":"1508.03730","kind":"arxiv","version":1}},"canonical_sha256":"3fb451b05180069c0e840ad66abbb744c895b81782d0afe386aa89671d3df82f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fb451b05180069c0e840ad66abbb744c895b81782d0afe386aa89671d3df82f","first_computed_at":"2026-05-18T01:34:47.448063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:47.448063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lbfMCboZ7QRuq+BNitw2G/NP7jpaeB/SmpoArfD7PtC3tls8kazPVkscjXO6U/V/dyyY7w+A/K4oCW5bC6j+DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:47.448676Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.03730","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12eed3b7af26a03253c95428b2d2ee925c08dbc68cd15947bcf877abeeb0064e","sha256:50e42d35e25af9144aacc68d90ba8c02da61ec4b22a91854002ae906738ca484"],"state_sha256":"9139e1b89be8da1facd3ec50bce98a62e64f582f663f52749f06356a9aad4e01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4E3TN8bjS/C4DW/0HSsrtEhCMni+1kzCLm6PUr0+KCTu2iAyZoWkXT89sUyMt0PqQcDKQckDvOl9yPJVfhFMAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T19:47:00.566680Z","bundle_sha256":"55bf89255fdd4b7e6a07824eb9ecc5d0615613ef1ebcb31116c4748bf55309cc"}}