{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:J2MMYJ7NDG64RW7CNSBBY5VXDF","short_pith_number":"pith:J2MMYJ7N","canonical_record":{"source":{"id":"1612.03977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-13T00:02:36Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"eea698e45e27820842e7864b408a6f44d499ecc906dac74647bbeccd08d7ba66","abstract_canon_sha256":"49d93c0f2bf8a28883c68bb81f052f09b4fc6be16955fa40460efe2c738861c6"},"schema_version":"1.0"},"canonical_sha256":"4e98cc27ed19bdc8dbe26c821c76b719509d7017ef76e877b4fd52b6ec657559","source":{"kind":"arxiv","id":"1612.03977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03977","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03977v1","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03977","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"pith_short_12","alias_value":"J2MMYJ7NDG64","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J2MMYJ7NDG64RW7C","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J2MMYJ7N","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:J2MMYJ7NDG64RW7CNSBBY5VXDF","target":"record","payload":{"canonical_record":{"source":{"id":"1612.03977","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-13T00:02:36Z","cross_cats_sorted":["cond-mat.dis-nn"],"title_canon_sha256":"eea698e45e27820842e7864b408a6f44d499ecc906dac74647bbeccd08d7ba66","abstract_canon_sha256":"49d93c0f2bf8a28883c68bb81f052f09b4fc6be16955fa40460efe2c738861c6"},"schema_version":"1.0"},"canonical_sha256":"4e98cc27ed19bdc8dbe26c821c76b719509d7017ef76e877b4fd52b6ec657559","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:22.108090Z","signature_b64":"BW4eDn+OSFVIz6mza0UvH8zwLEQL+FRIagsF+QGYAjYsb/Yn8/Sf+MKmgngV1QE09zD/o/jk5yzZJ3BI2jHAAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4e98cc27ed19bdc8dbe26c821c76b719509d7017ef76e877b4fd52b6ec657559","last_reissued_at":"2026-05-18T00:33:22.107514Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:22.107514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.03977","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":"2026-05-18T00:33:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cG8nnP6uxpWob4WP31BfA1BbsDOqrYq8cL958Az8gBX9Qos6chhRp9ocXyl6ZjP9qHGKHq4i5HYtOBmjOvBhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:31:11.608093Z"},"content_sha256":"77a58ccef34983b69eb4d6a7df1482033aa62192792b5a2a14205f0d6195a0cb","schema_version":"1.0","event_id":"sha256:77a58ccef34983b69eb4d6a7df1482033aa62192792b5a2a14205f0d6195a0cb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:J2MMYJ7NDG64RW7CNSBBY5VXDF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear Coherent Structures in Granular Crystals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"nlin.PS","authors_text":"C. Chong, C. Daraio, Mason A. Porter, P. G. Kevrekidis","submitted_at":"2016-12-13T00:02:36Z","abstract_excerpt":"The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics, and condensed-matter physics. Granular crystals, a type of nonlinear metamaterial, exploit geometrical nonlinearities in their constitutive microstructure to produce properties (such as tunability and energy localization) that are not conventional to engineering materials and linear devices. In this topical review, we focus on recent experimental, computationa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03977","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":"2026-05-18T00:33:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0XaD72xg6yY3cqSkkXxr8AntXvpEJQBPCn8SC9zhP1oVdm6pxec+CibFJzZiq0OqXJGXihDPg1Qn851zMCgkCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T11:31:11.608456Z"},"content_sha256":"05b6d387e988c74588c01673607a3c0f53c0f7a0b22cb5b1271dd66c7d1e44f2","schema_version":"1.0","event_id":"sha256:05b6d387e988c74588c01673607a3c0f53c0f7a0b22cb5b1271dd66c7d1e44f2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/bundle.json","state_url":"https://pith.science/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/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":"2026-05-20T11:31:11Z","links":{"resolver":"https://pith.science/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF","bundle":"https://pith.science/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/bundle.json","state":"https://pith.science/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2MMYJ7NDG64RW7CNSBBY5VXDF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J2MMYJ7NDG64RW7CNSBBY5VXDF","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":"49d93c0f2bf8a28883c68bb81f052f09b4fc6be16955fa40460efe2c738861c6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-13T00:02:36Z","title_canon_sha256":"eea698e45e27820842e7864b408a6f44d499ecc906dac74647bbeccd08d7ba66"},"schema_version":"1.0","source":{"id":"1612.03977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.03977","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"arxiv_version","alias_value":"1612.03977v1","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.03977","created_at":"2026-05-18T00:33:22Z"},{"alias_kind":"pith_short_12","alias_value":"J2MMYJ7NDG64","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"J2MMYJ7NDG64RW7C","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"J2MMYJ7N","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:05b6d387e988c74588c01673607a3c0f53c0f7a0b22cb5b1271dd66c7d1e44f2","target":"graph","created_at":"2026-05-18T00:33:22Z","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":"The study of granular crystals, metamaterials that consist of closely packed arrays of particles that interact elastically, is a vibrant area of research that combines ideas from disciplines such as materials science, nonlinear dynamics, and condensed-matter physics. Granular crystals, a type of nonlinear metamaterial, exploit geometrical nonlinearities in their constitutive microstructure to produce properties (such as tunability and energy localization) that are not conventional to engineering materials and linear devices. In this topical review, we focus on recent experimental, computationa","authors_text":"C. Chong, C. Daraio, Mason A. Porter, P. G. Kevrekidis","cross_cats":["cond-mat.dis-nn"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-13T00:02:36Z","title":"Nonlinear Coherent Structures in Granular Crystals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.03977","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":"sha256:77a58ccef34983b69eb4d6a7df1482033aa62192792b5a2a14205f0d6195a0cb","target":"record","created_at":"2026-05-18T00:33:22Z","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":"49d93c0f2bf8a28883c68bb81f052f09b4fc6be16955fa40460efe2c738861c6","cross_cats_sorted":["cond-mat.dis-nn"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.PS","submitted_at":"2016-12-13T00:02:36Z","title_canon_sha256":"eea698e45e27820842e7864b408a6f44d499ecc906dac74647bbeccd08d7ba66"},"schema_version":"1.0","source":{"id":"1612.03977","kind":"arxiv","version":1}},"canonical_sha256":"4e98cc27ed19bdc8dbe26c821c76b719509d7017ef76e877b4fd52b6ec657559","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4e98cc27ed19bdc8dbe26c821c76b719509d7017ef76e877b4fd52b6ec657559","first_computed_at":"2026-05-18T00:33:22.107514Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:33:22.107514Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BW4eDn+OSFVIz6mza0UvH8zwLEQL+FRIagsF+QGYAjYsb/Yn8/Sf+MKmgngV1QE09zD/o/jk5yzZJ3BI2jHAAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:33:22.108090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.03977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77a58ccef34983b69eb4d6a7df1482033aa62192792b5a2a14205f0d6195a0cb","sha256:05b6d387e988c74588c01673607a3c0f53c0f7a0b22cb5b1271dd66c7d1e44f2"],"state_sha256":"b6c8c7e6b142eaa0589fa9783c82663255961a0702590d2af3f4ba4bba4cf5f6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6lLPYqPCrhjoOqxJ2Gg4CrpkSQGFN9TAD41/zYp3EmUhylYAHhEKvDD7toMlTJX/f8zPKplwF0BMQ/G7AUgkCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T11:31:11.610407Z","bundle_sha256":"daebfbb7560ff4d694e3387e4e7ed66024f664944ec5d209826e453a8a11d963"}}