{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JVDSXR3J4NOWR3FZ5OAWIFF5BM","short_pith_number":"pith:JVDSXR3J","canonical_record":{"source":{"id":"1307.4042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-15T18:29:48Z","cross_cats_sorted":[],"title_canon_sha256":"3657da5c7b16ebeabfa7ea171c19b2d760f0def7d6926342256ff677cdf9c8d9","abstract_canon_sha256":"9270fccb25569e228da86f7b407d785c9fe1612c413766aae9156ccca2846a99"},"schema_version":"1.0"},"canonical_sha256":"4d472bc769e35d68ecb9eb816414bd0b19f691eb2e7cd482270bece6a58da78d","source":{"kind":"arxiv","id":"1307.4042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4042","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4042v1","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4042","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"JVDSXR3J4NOW","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JVDSXR3J4NOWR3FZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JVDSXR3J","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JVDSXR3J4NOWR3FZ5OAWIFF5BM","target":"record","payload":{"canonical_record":{"source":{"id":"1307.4042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-15T18:29:48Z","cross_cats_sorted":[],"title_canon_sha256":"3657da5c7b16ebeabfa7ea171c19b2d760f0def7d6926342256ff677cdf9c8d9","abstract_canon_sha256":"9270fccb25569e228da86f7b407d785c9fe1612c413766aae9156ccca2846a99"},"schema_version":"1.0"},"canonical_sha256":"4d472bc769e35d68ecb9eb816414bd0b19f691eb2e7cd482270bece6a58da78d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:50.043622Z","signature_b64":"csoZDGAaGAReuDci/nImwgIt+flKLUI7zz9p/A23OkYyQFv2NXAy9/mGACOP+tYV8ItljCQSV3R1v13OQa6PCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d472bc769e35d68ecb9eb816414bd0b19f691eb2e7cd482270bece6a58da78d","last_reissued_at":"2026-05-18T01:48:50.042926Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:50.042926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.4042","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":"2026-05-18T01:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RvhLHOL4BEy3hz1iVxwG9aWXgvR0dP72+rhTbJlzd3rD5Ad7Gezg18fOF+LvHzHoB/rSIdRlip41XuPt61WUCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:02:07.066967Z"},"content_sha256":"2107265485bbcd1c0a10a9323f684231d0b23d6ca8f7589532e28e50c89de921","schema_version":"1.0","event_id":"sha256:2107265485bbcd1c0a10a9323f684231d0b23d6ca8f7589532e28e50c89de921"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JVDSXR3J4NOWR3FZ5OAWIFF5BM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Binary collision approximation for multi-decorated granular chains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Alexandre Rosas, Eduardo Andr\\'e de F. Bragan\\c{c}a, Katja Lindenberg","submitted_at":"2013-07-15T18:29:48Z","abstract_excerpt":"We study pulse propagation along decorated tapered granular chains without precompression. Our goal is to generalize the results obtained in our previous work, by analyzing a decorated chain with an arbitrary number of small grains between the large ones. Making use of an effective description, where the original decorated tapered chain is replaced by a non-decorated tapered chain with effective masses interacting via an effective potential, and applying the binary collisions approximation, we calculate the residence time of the pulse on each effective large grain. We also present the comparis"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4042","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":"2026-05-18T01:48:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eak84Fm3d5Clr9wl0MJsvZk/XVldOxWgdpLFXS8xzkt1a9z24B1+PogYZ4WWHUAn7/M+PydQotGr5xyzi7deBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T23:02:07.067614Z"},"content_sha256":"8a62bbda71e512d37edbf3b6196e59d97e0f6f8ca6616d632c4417b2f2716851","schema_version":"1.0","event_id":"sha256:8a62bbda71e512d37edbf3b6196e59d97e0f6f8ca6616d632c4417b2f2716851"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/bundle.json","state_url":"https://pith.science/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/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":"2026-05-26T23:02:07Z","links":{"resolver":"https://pith.science/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM","bundle":"https://pith.science/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/bundle.json","state":"https://pith.science/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JVDSXR3J4NOWR3FZ5OAWIFF5BM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JVDSXR3J4NOWR3FZ5OAWIFF5BM","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":"9270fccb25569e228da86f7b407d785c9fe1612c413766aae9156ccca2846a99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-15T18:29:48Z","title_canon_sha256":"3657da5c7b16ebeabfa7ea171c19b2d760f0def7d6926342256ff677cdf9c8d9"},"schema_version":"1.0","source":{"id":"1307.4042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.4042","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"arxiv_version","alias_value":"1307.4042v1","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4042","created_at":"2026-05-18T01:48:50Z"},{"alias_kind":"pith_short_12","alias_value":"JVDSXR3J4NOW","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JVDSXR3J4NOWR3FZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JVDSXR3J","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:8a62bbda71e512d37edbf3b6196e59d97e0f6f8ca6616d632c4417b2f2716851","target":"graph","created_at":"2026-05-18T01:48:50Z","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 study pulse propagation along decorated tapered granular chains without precompression. Our goal is to generalize the results obtained in our previous work, by analyzing a decorated chain with an arbitrary number of small grains between the large ones. Making use of an effective description, where the original decorated tapered chain is replaced by a non-decorated tapered chain with effective masses interacting via an effective potential, and applying the binary collisions approximation, we calculate the residence time of the pulse on each effective large grain. We also present the comparis","authors_text":"Alexandre Rosas, Eduardo Andr\\'e de F. Bragan\\c{c}a, Katja Lindenberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-15T18:29:48Z","title":"Binary collision approximation for multi-decorated granular chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4042","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":"sha256:2107265485bbcd1c0a10a9323f684231d0b23d6ca8f7589532e28e50c89de921","target":"record","created_at":"2026-05-18T01:48:50Z","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":"9270fccb25569e228da86f7b407d785c9fe1612c413766aae9156ccca2846a99","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2013-07-15T18:29:48Z","title_canon_sha256":"3657da5c7b16ebeabfa7ea171c19b2d760f0def7d6926342256ff677cdf9c8d9"},"schema_version":"1.0","source":{"id":"1307.4042","kind":"arxiv","version":1}},"canonical_sha256":"4d472bc769e35d68ecb9eb816414bd0b19f691eb2e7cd482270bece6a58da78d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d472bc769e35d68ecb9eb816414bd0b19f691eb2e7cd482270bece6a58da78d","first_computed_at":"2026-05-18T01:48:50.042926Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:50.042926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"csoZDGAaGAReuDci/nImwgIt+flKLUI7zz9p/A23OkYyQFv2NXAy9/mGACOP+tYV8ItljCQSV3R1v13OQa6PCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:50.043622Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.4042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2107265485bbcd1c0a10a9323f684231d0b23d6ca8f7589532e28e50c89de921","sha256:8a62bbda71e512d37edbf3b6196e59d97e0f6f8ca6616d632c4417b2f2716851"],"state_sha256":"927a0360615baa6c20b27c7e84f314926c1cf5942edfd1d7df79ab6b7f93cff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z9w7LoO+x8sSxy0Y1CjBKVLVweOFVI7gsTnzTWO3NbuRapn4CNJkr02AKEAHE/KqENCcgooc+Sj5pvAmjRHEBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T23:02:07.071183Z","bundle_sha256":"68cb4c2acd372c0fe0c912d4f6d972190e0741c825e3dad35819835fe69615f6"}}