{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:API54E335ZIQBWIFFMLAKRDHXD","short_pith_number":"pith:API54E33","canonical_record":{"source":{"id":"1509.03551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-11T15:23:25Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"799c089f4929a0559764bc0ae570f4055a5bb798396db8cdbc47060765f3179f","abstract_canon_sha256":"590fba5492b76c0b782eea20658031d940d746cbc25686e361897295c3ff202a"},"schema_version":"1.0"},"canonical_sha256":"03d1de137bee5100d9052b16054467b8c51a9bda63621518e769036c960d5e8c","source":{"kind":"arxiv","id":"1509.03551","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03551","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03551v2","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03551","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"API54E335ZIQ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"API54E335ZIQBWIF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"API54E33","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:API54E335ZIQBWIFFMLAKRDHXD","target":"record","payload":{"canonical_record":{"source":{"id":"1509.03551","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-11T15:23:25Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"799c089f4929a0559764bc0ae570f4055a5bb798396db8cdbc47060765f3179f","abstract_canon_sha256":"590fba5492b76c0b782eea20658031d940d746cbc25686e361897295c3ff202a"},"schema_version":"1.0"},"canonical_sha256":"03d1de137bee5100d9052b16054467b8c51a9bda63621518e769036c960d5e8c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:48.209365Z","signature_b64":"WQLgIePimRtEvA7BWcnkxFQCHkoJ4ugc3FKwU3sJZN1U4exjmImgO7WRxieYPMRvaZcTVscukWosinrAIoAQAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"03d1de137bee5100d9052b16054467b8c51a9bda63621518e769036c960d5e8c","last_reissued_at":"2026-05-18T01:19:48.208904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:48.208904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.03551","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"288iSa8MOPMOek4cHaL6ZJ4lZZN4c7Fb/2JbCNqjYzlf2ApcNXhWubMllG20p4rZKMX7eF0x7Dx6P5s1vu8NCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:47:34.600534Z"},"content_sha256":"2751afe57eefdb28e4c3d379ec59a4b20c29b20b50177757303dcebe86b3acc1","schema_version":"1.0","event_id":"sha256:2751afe57eefdb28e4c3d379ec59a4b20c29b20b50177757303dcebe86b3acc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:API54E335ZIQBWIFFMLAKRDHXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy transport in one-dimensional disordered granular solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"nlin.CD","authors_text":"Ch. Skokos, G. Theocharis, V. Achilleos","submitted_at":"2015-09-11T15:23:25Z","abstract_excerpt":"We investigate the energy transport in one-dimensional disordered granular solids by extensive numerical simulations. In particular, we consider the case of a polydisperse granular chain composed of spherical beads of the same material and with radii taken from a random distribution. We start by examining the linear case, in which it is known that the energy transport strongly depends on the type of initial conditions. Thus, we consider two sets of initial conditions: i) an initial displacement and ii) an initial momentum excitation of a single bead. After establishing the regime of sufficient"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03551","kind":"arxiv","version":2},"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":"2026-05-18T01:19:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SowN/eZY6dPZKQl0OrObqqmGMbNqx7UuVdRgaZrrdakx8VIGRpOhy+9inA6Ko2r0DymMy7YkBsIL3kksYkxgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T18:47:34.600927Z"},"content_sha256":"fa4b9eff04c1345b82e66c6ba7bcbc5779a25505adfac5ac24881d5f2c5d6f8b","schema_version":"1.0","event_id":"sha256:fa4b9eff04c1345b82e66c6ba7bcbc5779a25505adfac5ac24881d5f2c5d6f8b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/API54E335ZIQBWIFFMLAKRDHXD/bundle.json","state_url":"https://pith.science/pith/API54E335ZIQBWIFFMLAKRDHXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/API54E335ZIQBWIFFMLAKRDHXD/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":"2026-06-11T18:47:34Z","links":{"resolver":"https://pith.science/pith/API54E335ZIQBWIFFMLAKRDHXD","bundle":"https://pith.science/pith/API54E335ZIQBWIFFMLAKRDHXD/bundle.json","state":"https://pith.science/pith/API54E335ZIQBWIFFMLAKRDHXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/API54E335ZIQBWIFFMLAKRDHXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:API54E335ZIQBWIFFMLAKRDHXD","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":"590fba5492b76c0b782eea20658031d940d746cbc25686e361897295c3ff202a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-11T15:23:25Z","title_canon_sha256":"799c089f4929a0559764bc0ae570f4055a5bb798396db8cdbc47060765f3179f"},"schema_version":"1.0","source":{"id":"1509.03551","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03551","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03551v2","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03551","created_at":"2026-05-18T01:19:48Z"},{"alias_kind":"pith_short_12","alias_value":"API54E335ZIQ","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"API54E335ZIQBWIF","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"API54E33","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:fa4b9eff04c1345b82e66c6ba7bcbc5779a25505adfac5ac24881d5f2c5d6f8b","target":"graph","created_at":"2026-05-18T01:19:48Z","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 energy transport in one-dimensional disordered granular solids by extensive numerical simulations. In particular, we consider the case of a polydisperse granular chain composed of spherical beads of the same material and with radii taken from a random distribution. We start by examining the linear case, in which it is known that the energy transport strongly depends on the type of initial conditions. Thus, we consider two sets of initial conditions: i) an initial displacement and ii) an initial momentum excitation of a single bead. After establishing the regime of sufficient","authors_text":"Ch. Skokos, G. Theocharis, V. Achilleos","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-11T15:23:25Z","title":"Energy transport in one-dimensional disordered granular solids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03551","kind":"arxiv","version":2},"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":"sha256:2751afe57eefdb28e4c3d379ec59a4b20c29b20b50177757303dcebe86b3acc1","target":"record","created_at":"2026-05-18T01:19:48Z","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":"590fba5492b76c0b782eea20658031d940d746cbc25686e361897295c3ff202a","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-09-11T15:23:25Z","title_canon_sha256":"799c089f4929a0559764bc0ae570f4055a5bb798396db8cdbc47060765f3179f"},"schema_version":"1.0","source":{"id":"1509.03551","kind":"arxiv","version":2}},"canonical_sha256":"03d1de137bee5100d9052b16054467b8c51a9bda63621518e769036c960d5e8c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03d1de137bee5100d9052b16054467b8c51a9bda63621518e769036c960d5e8c","first_computed_at":"2026-05-18T01:19:48.208904Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:48.208904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WQLgIePimRtEvA7BWcnkxFQCHkoJ4ugc3FKwU3sJZN1U4exjmImgO7WRxieYPMRvaZcTVscukWosinrAIoAQAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:48.209365Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03551","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2751afe57eefdb28e4c3d379ec59a4b20c29b20b50177757303dcebe86b3acc1","sha256:fa4b9eff04c1345b82e66c6ba7bcbc5779a25505adfac5ac24881d5f2c5d6f8b"],"state_sha256":"0eafde1e6c57b8ecf524f356cdd4681947e866ba5d4bf3f446fc657afcb85060"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VgZ5hZTbX7XBfREwZd+UGflRh5wBgIneIebILkcKigLYodQb5jP/X8rqACnbpwrdJtC0j3EWNdtPpj5WHgr+Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T18:47:34.603310Z","bundle_sha256":"ae31d297357fabdb7dfee4c671fb0e43be7649f25537ac00d646ea5584007f56"}}