{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DUFV4TQM3JHNSMYQMRP2ZLTN7D","short_pith_number":"pith:DUFV4TQM","schema_version":"1.0","canonical_sha256":"1d0b5e4e0cda4ed93310645facae6df8cde132bc78f8ad63f3cefe0dcac4cc2c","source":{"kind":"arxiv","id":"1212.5492","version":1},"attestation_state":"computed","paper":{"title":"Transition wave in a supported heavy beam","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.class-ph","authors_text":"Alexander B. Movchan, Leonid I. Slepyan, Michele Brun","submitted_at":"2012-12-21T15:33:45Z","abstract_excerpt":"We consider a heavy, uniform, elastic beam rested on periodically distributed supports as a simplified model of a bridge. The supports are subjected to a partial destruction propagating as a failure wave along the beam. Three related models are examined and compared: (a) a uniform elastic beam on a distributed elastic foundation, (b) an elastic beam which mass is concentrated at a discrete set of points corresponding to the discrete set of the elastic supports and (c) a uniform elastic beam on a set of discrete elastic supports. Stiffness of the support is assumed to drop when the stress reach"},"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":"1212.5492","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.class-ph","submitted_at":"2012-12-21T15:33:45Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"c1682bb530faedf00df0e49d7a91a939a5a2f63fa733e120b0827601937aa7d7","abstract_canon_sha256":"445c1b794894e9ae4a825c5e5e14a2bc571a9b4071c43795d070c500caa350b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:29.222430Z","signature_b64":"ii7lveb/dFczXDrJ/xKfOHIFKWlnmWfe1ijT/FdWdPjVCb+feE3IHnvs+yLSlc9LAZCJxlBA6+uSpC7P+/LzCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d0b5e4e0cda4ed93310645facae6df8cde132bc78f8ad63f3cefe0dcac4cc2c","last_reissued_at":"2026-05-18T01:52:29.221943Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:29.221943Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Transition wave in a supported heavy beam","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"physics.class-ph","authors_text":"Alexander B. Movchan, Leonid I. Slepyan, Michele Brun","submitted_at":"2012-12-21T15:33:45Z","abstract_excerpt":"We consider a heavy, uniform, elastic beam rested on periodically distributed supports as a simplified model of a bridge. The supports are subjected to a partial destruction propagating as a failure wave along the beam. Three related models are examined and compared: (a) a uniform elastic beam on a distributed elastic foundation, (b) an elastic beam which mass is concentrated at a discrete set of points corresponding to the discrete set of the elastic supports and (c) a uniform elastic beam on a set of discrete elastic supports. Stiffness of the support is assumed to drop when the stress reach"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5492","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":"1212.5492","created_at":"2026-05-18T01:52:29.222021+00:00"},{"alias_kind":"arxiv_version","alias_value":"1212.5492v1","created_at":"2026-05-18T01:52:29.222021+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5492","created_at":"2026-05-18T01:52:29.222021+00:00"},{"alias_kind":"pith_short_12","alias_value":"DUFV4TQM3JHN","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DUFV4TQM3JHNSMYQ","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DUFV4TQM","created_at":"2026-05-18T12:27:04.183437+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/DUFV4TQM3JHNSMYQMRP2ZLTN7D","json":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D.json","graph_json":"https://pith.science/api/pith-number/DUFV4TQM3JHNSMYQMRP2ZLTN7D/graph.json","events_json":"https://pith.science/api/pith-number/DUFV4TQM3JHNSMYQMRP2ZLTN7D/events.json","paper":"https://pith.science/paper/DUFV4TQM"},"agent_actions":{"view_html":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D","download_json":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D.json","view_paper":"https://pith.science/paper/DUFV4TQM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1212.5492&json=true","fetch_graph":"https://pith.science/api/pith-number/DUFV4TQM3JHNSMYQMRP2ZLTN7D/graph.json","fetch_events":"https://pith.science/api/pith-number/DUFV4TQM3JHNSMYQMRP2ZLTN7D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D/action/storage_attestation","attest_author":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D/action/author_attestation","sign_citation":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D/action/citation_signature","submit_replication":"https://pith.science/pith/DUFV4TQM3JHNSMYQMRP2ZLTN7D/action/replication_record"}},"created_at":"2026-05-18T01:52:29.222021+00:00","updated_at":"2026-05-18T01:52:29.222021+00:00"}