{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T7O5WUQJDNTA4VJJTJ43W5T5TO","short_pith_number":"pith:T7O5WUQJ","canonical_record":{"source":{"id":"1308.0554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-02T17:14:01Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f479a0b4b6572edcb1715a8cc7fca90755986d5c48576691c2182e2d798c4ba2","abstract_canon_sha256":"4e09dee232cd9d8d6bbb2124e2ff3afb2bdd6b8719cba2cf2cae2178f85f63fa"},"schema_version":"1.0"},"canonical_sha256":"9fdddb52091b660e55299a79bb767d9b98ce6958a6e3e55eedd11273adf6d01d","source":{"kind":"arxiv","id":"1308.0554","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0554","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0554v2","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0554","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"T7O5WUQJDNTA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7O5WUQJDNTA4VJJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7O5WUQJ","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T7O5WUQJDNTA4VJJTJ43W5T5TO","target":"record","payload":{"canonical_record":{"source":{"id":"1308.0554","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-02T17:14:01Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"f479a0b4b6572edcb1715a8cc7fca90755986d5c48576691c2182e2d798c4ba2","abstract_canon_sha256":"4e09dee232cd9d8d6bbb2124e2ff3afb2bdd6b8719cba2cf2cae2178f85f63fa"},"schema_version":"1.0"},"canonical_sha256":"9fdddb52091b660e55299a79bb767d9b98ce6958a6e3e55eedd11273adf6d01d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:24.602390Z","signature_b64":"kHSqyhF5FmxseJbgjNFI0elhwVWc0E4qqV8Oa2Im7w5Hqy74rVRekM0oTncVqI00DtCEm6p2J5jcYLVGjLChCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fdddb52091b660e55299a79bb767d9b98ce6958a6e3e55eedd11273adf6d01d","last_reissued_at":"2026-05-18T01:48:24.601699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:24.601699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.0554","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":"2026-05-18T01:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AsYiJS1X2wHAkCcqAJ2Ib1n1v6jiCFMPNzWu74Yx5n4DPkpEQZoyu9EYu+o1S+jwrRuAL2Sep+fr7gdRfx8QAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:33:14.863878Z"},"content_sha256":"066df425e48c63524d17cbc9c1082856ef731aaa4b48d0021d5bfa274ea19abb","schema_version":"1.0","event_id":"sha256:066df425e48c63524d17cbc9c1082856ef731aaa4b48d0021d5bfa274ea19abb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T7O5WUQJDNTA4VJJTJ43W5T5TO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological Boundary Modes in Isostatic Lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.mes-hall","authors_text":"C. L. Kane, T. C. Lubensky","submitted_at":"2013-08-02T17:14:01Z","abstract_excerpt":"Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science. The difference between the number of bonds and the number of degrees of freedom of these lattices determines the number of their zero-frequency \"floppy modes\". When these are balanced, the system is on the verge of mechanical instability and is termed isostatic. It has recently been shown that certain extended isostatic lattices exhibit floppy modes localized "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0554","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":"2026-05-18T01:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gzwZUkkLw/b7OG2hmiLBzclhG/ZRFAYgyZX4iemi4c9Rw1NciXlstYbOxDgPXXjxSGAUmOiIsXC4Ng137uE5Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T00:33:14.864212Z"},"content_sha256":"47992f0f3cae21a08d6ff0f44f523d759284d8cbe44c5ae3cb5645470f469119","schema_version":"1.0","event_id":"sha256:47992f0f3cae21a08d6ff0f44f523d759284d8cbe44c5ae3cb5645470f469119"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/bundle.json","state_url":"https://pith.science/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/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":"2026-05-28T00:33:14Z","links":{"resolver":"https://pith.science/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO","bundle":"https://pith.science/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/bundle.json","state":"https://pith.science/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7O5WUQJDNTA4VJJTJ43W5T5TO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T7O5WUQJDNTA4VJJTJ43W5T5TO","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":"4e09dee232cd9d8d6bbb2124e2ff3afb2bdd6b8719cba2cf2cae2178f85f63fa","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-02T17:14:01Z","title_canon_sha256":"f479a0b4b6572edcb1715a8cc7fca90755986d5c48576691c2182e2d798c4ba2"},"schema_version":"1.0","source":{"id":"1308.0554","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0554","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0554v2","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0554","created_at":"2026-05-18T01:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"T7O5WUQJDNTA","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7O5WUQJDNTA4VJJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7O5WUQJ","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:47992f0f3cae21a08d6ff0f44f523d759284d8cbe44c5ae3cb5645470f469119","target":"graph","created_at":"2026-05-18T01:48:24Z","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":"Frames, or lattices consisting of mass points connected by rigid bonds or central force springs, are important model constructs that have applications in such diverse fields as structural engineering, architecture, and materials science. The difference between the number of bonds and the number of degrees of freedom of these lattices determines the number of their zero-frequency \"floppy modes\". When these are balanced, the system is on the verge of mechanical instability and is termed isostatic. It has recently been shown that certain extended isostatic lattices exhibit floppy modes localized ","authors_text":"C. L. Kane, T. C. Lubensky","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-02T17:14:01Z","title":"Topological Boundary Modes in Isostatic Lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0554","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":"sha256:066df425e48c63524d17cbc9c1082856ef731aaa4b48d0021d5bfa274ea19abb","target":"record","created_at":"2026-05-18T01:48:24Z","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":"4e09dee232cd9d8d6bbb2124e2ff3afb2bdd6b8719cba2cf2cae2178f85f63fa","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-08-02T17:14:01Z","title_canon_sha256":"f479a0b4b6572edcb1715a8cc7fca90755986d5c48576691c2182e2d798c4ba2"},"schema_version":"1.0","source":{"id":"1308.0554","kind":"arxiv","version":2}},"canonical_sha256":"9fdddb52091b660e55299a79bb767d9b98ce6958a6e3e55eedd11273adf6d01d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fdddb52091b660e55299a79bb767d9b98ce6958a6e3e55eedd11273adf6d01d","first_computed_at":"2026-05-18T01:48:24.601699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:24.601699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kHSqyhF5FmxseJbgjNFI0elhwVWc0E4qqV8Oa2Im7w5Hqy74rVRekM0oTncVqI00DtCEm6p2J5jcYLVGjLChCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:24.602390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0554","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:066df425e48c63524d17cbc9c1082856ef731aaa4b48d0021d5bfa274ea19abb","sha256:47992f0f3cae21a08d6ff0f44f523d759284d8cbe44c5ae3cb5645470f469119"],"state_sha256":"3ecbe52fdaf83bb365b60ed3f6cf10b9b0dd9d37cfe3fcac8a1b9a4f65a29c8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WkZyEbXdvy08sdLTFueeStbA1ZKGjY3Qo4cwPw32jZark2BMaTCthuLlaePa94H5kHreJiLPT9j9+Cv2WHqSDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T00:33:14.866055Z","bundle_sha256":"a5341213e1bbf07b1798040cde74ed1c248ec052b7da10ac5c10eff82e076046"}}