{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QS7EN43JP7E66YS7HS4C5CNJEB","short_pith_number":"pith:QS7EN43J","schema_version":"1.0","canonical_sha256":"84be46f3697fc9ef625f3cb82e89a9204082e8faa069b3e29020020ed80006aa","source":{"kind":"arxiv","id":"1207.2185","version":1},"attestation_state":"computed","paper":{"title":"Mechanical Metamaterials with Negative Compressibility Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Adilson E. Motter, Zachary G. Nicolaou","submitted_at":"2012-07-09T21:06:05Z","abstract_excerpt":"When tensioned, ordinary materials expand along the direction of the applied force. Here, we explore network concepts to design metamaterials exhibiting negative compressibility transitions, during which a material undergoes contraction when tensioned (or expansion when pressured). Continuous contraction of a material in the same direction of an applied tension, and in response to this tension, is inherently unstable. The conceptually similar effect we demonstrate can be achieved, however, through destabilisations of (meta)stable equilibria of the constituents. These destabilisations give rise"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1207.2185","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2012-07-09T21:06:05Z","cross_cats_sorted":["cond-mat.dis-nn","cond-mat.stat-mech"],"title_canon_sha256":"f16223f3b38054c8f7d824d51f996daeac1048ab69db944e59630a11a1179d68","abstract_canon_sha256":"5b7912dcd478a21c5d27367257142e78a544419b60d45b9f8d0ccbece776331a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:51:24.793336Z","signature_b64":"vxkMO64I6cZwrSmqDfb8A0ZvdgrrTBXH7zTtaozbUz46ls3H8Xkpaf4HD5DTuevKsM80IAjoEdAYePGuJh7wCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84be46f3697fc9ef625f3cb82e89a9204082e8faa069b3e29020020ed80006aa","last_reissued_at":"2026-05-18T03:51:24.792745Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:51:24.792745Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mechanical Metamaterials with Negative Compressibility Transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","cond-mat.stat-mech"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Adilson E. Motter, Zachary G. Nicolaou","submitted_at":"2012-07-09T21:06:05Z","abstract_excerpt":"When tensioned, ordinary materials expand along the direction of the applied force. Here, we explore network concepts to design metamaterials exhibiting negative compressibility transitions, during which a material undergoes contraction when tensioned (or expansion when pressured). Continuous contraction of a material in the same direction of an applied tension, and in response to this tension, is inherently unstable. The conceptually similar effect we demonstrate can be achieved, however, through destabilisations of (meta)stable equilibria of the constituents. These destabilisations give rise"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.2185","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1207.2185","created_at":"2026-05-18T03:51:24.792828+00:00"},{"alias_kind":"arxiv_version","alias_value":"1207.2185v1","created_at":"2026-05-18T03:51:24.792828+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.2185","created_at":"2026-05-18T03:51:24.792828+00:00"},{"alias_kind":"pith_short_12","alias_value":"QS7EN43JP7E6","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QS7EN43JP7E66YS7","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QS7EN43J","created_at":"2026-05-18T12:27:18.751474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB","json":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB.json","graph_json":"https://pith.science/api/pith-number/QS7EN43JP7E66YS7HS4C5CNJEB/graph.json","events_json":"https://pith.science/api/pith-number/QS7EN43JP7E66YS7HS4C5CNJEB/events.json","paper":"https://pith.science/paper/QS7EN43J"},"agent_actions":{"view_html":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB","download_json":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB.json","view_paper":"https://pith.science/paper/QS7EN43J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1207.2185&json=true","fetch_graph":"https://pith.science/api/pith-number/QS7EN43JP7E66YS7HS4C5CNJEB/graph.json","fetch_events":"https://pith.science/api/pith-number/QS7EN43JP7E66YS7HS4C5CNJEB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB/action/storage_attestation","attest_author":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB/action/author_attestation","sign_citation":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB/action/citation_signature","submit_replication":"https://pith.science/pith/QS7EN43JP7E66YS7HS4C5CNJEB/action/replication_record"}},"created_at":"2026-05-18T03:51:24.792828+00:00","updated_at":"2026-05-18T03:51:24.792828+00:00"}