{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:CQGX2FN3L32IIDTBDUKFZ7G64Z","short_pith_number":"pith:CQGX2FN3","canonical_record":{"source":{"id":"1007.2862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-16T20:27:24Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"c00ef930e705c00bbeb95da655148530200adb7c46224e4eb3f18a5dd065fad0","abstract_canon_sha256":"31f579bddb033dac075c229b0568d46981b360a40473be0d4e1379193c8df268"},"schema_version":"1.0"},"canonical_sha256":"140d7d15bb5ef4840e611d145cfcdee65f2e025e0938e3af090d6381d925c3a8","source":{"kind":"arxiv","id":"1007.2862","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2862","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2862v2","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2862","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"pith_short_12","alias_value":"CQGX2FN3L32I","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CQGX2FN3L32IIDTB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CQGX2FN3","created_at":"2026-05-18T12:26:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:CQGX2FN3L32IIDTBDUKFZ7G64Z","target":"record","payload":{"canonical_record":{"source":{"id":"1007.2862","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-16T20:27:24Z","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"title_canon_sha256":"c00ef930e705c00bbeb95da655148530200adb7c46224e4eb3f18a5dd065fad0","abstract_canon_sha256":"31f579bddb033dac075c229b0568d46981b360a40473be0d4e1379193c8df268"},"schema_version":"1.0"},"canonical_sha256":"140d7d15bb5ef4840e611d145cfcdee65f2e025e0938e3af090d6381d925c3a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:31:29.847626Z","signature_b64":"p1fkF+zIXuSOKGdcvXyzsaSNSfPnS2kBev+Z1O47jru+s0dDn916aFkHMbw3bHFILUROhLU5chX+L/zz3VG8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"140d7d15bb5ef4840e611d145cfcdee65f2e025e0938e3af090d6381d925c3a8","last_reissued_at":"2026-05-18T04:31:29.847022Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:31:29.847022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1007.2862","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":"2026-05-18T04:31:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C7eRZF/8/VWrvVnjxaSPgF+tkgqhLUhTcIv6AKSnlB1drD1cbIxOwaydeGV2bO+sUWi764XAahcLsb9z4khSBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:48:33.280142Z"},"content_sha256":"f0afd2c0ecde85089e6aae25418922fed98fb3960d862ad1b0521096b61febe0","schema_version":"1.0","event_id":"sha256:f0afd2c0ecde85089e6aae25418922fed98fb3960d862ad1b0521096b61febe0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:CQGX2FN3L32IIDTBDUKFZ7G64Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Minimal resonances in annular non-Euclidean strips","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft","physics.bio-ph"],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Bryan Gin-ge Chen, Christian D. Santangelo","submitted_at":"2010-07-16T20:27:24Z","abstract_excerpt":"Differential growth processes play a prominent role in shaping leaves and biological tissues. Using both analytical and numerical calculations, we consider the shapes of closed, elastic strips which have been subjected to an inhomogeneous pattern of swelling. The stretching and bending energies of a closed strip are frustrated by compatibility constraints between the curvatures and metric of the strip. To analyze this frustration, we study the class of \"conical\" closed strips with a prescribed metric tensor on their center line. The resulting strip shapes can be classified according to their n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2862","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":"2026-05-18T04:31:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w0J13BcoULDYJmPY9/NINxrLZq/FmdPXwfxqdDKFGFVwB97lMasFaMXtr0EsWBwRc+aUv+hiVIYBB7Ym6EEKAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T02:48:33.280837Z"},"content_sha256":"1bfb60447a2339713526bc0cbda16cd9732a10ddb2599e7bcd7a3fc4cd7dda68","schema_version":"1.0","event_id":"sha256:1bfb60447a2339713526bc0cbda16cd9732a10ddb2599e7bcd7a3fc4cd7dda68"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/bundle.json","state_url":"https://pith.science/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/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":"2026-06-10T02:48:33Z","links":{"resolver":"https://pith.science/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z","bundle":"https://pith.science/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/bundle.json","state":"https://pith.science/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CQGX2FN3L32IIDTBDUKFZ7G64Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:CQGX2FN3L32IIDTBDUKFZ7G64Z","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":"31f579bddb033dac075c229b0568d46981b360a40473be0d4e1379193c8df268","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-16T20:27:24Z","title_canon_sha256":"c00ef930e705c00bbeb95da655148530200adb7c46224e4eb3f18a5dd065fad0"},"schema_version":"1.0","source":{"id":"1007.2862","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.2862","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"arxiv_version","alias_value":"1007.2862v2","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.2862","created_at":"2026-05-18T04:31:29Z"},{"alias_kind":"pith_short_12","alias_value":"CQGX2FN3L32I","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"CQGX2FN3L32IIDTB","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"CQGX2FN3","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:1bfb60447a2339713526bc0cbda16cd9732a10ddb2599e7bcd7a3fc4cd7dda68","target":"graph","created_at":"2026-05-18T04:31:29Z","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":"Differential growth processes play a prominent role in shaping leaves and biological tissues. Using both analytical and numerical calculations, we consider the shapes of closed, elastic strips which have been subjected to an inhomogeneous pattern of swelling. The stretching and bending energies of a closed strip are frustrated by compatibility constraints between the curvatures and metric of the strip. To analyze this frustration, we study the class of \"conical\" closed strips with a prescribed metric tensor on their center line. The resulting strip shapes can be classified according to their n","authors_text":"Bryan Gin-ge Chen, Christian D. Santangelo","cross_cats":["cond-mat.soft","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-16T20:27:24Z","title":"Minimal resonances in annular non-Euclidean strips"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.2862","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:f0afd2c0ecde85089e6aae25418922fed98fb3960d862ad1b0521096b61febe0","target":"record","created_at":"2026-05-18T04:31:29Z","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":"31f579bddb033dac075c229b0568d46981b360a40473be0d4e1379193c8df268","cross_cats_sorted":["cond-mat.soft","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2010-07-16T20:27:24Z","title_canon_sha256":"c00ef930e705c00bbeb95da655148530200adb7c46224e4eb3f18a5dd065fad0"},"schema_version":"1.0","source":{"id":"1007.2862","kind":"arxiv","version":2}},"canonical_sha256":"140d7d15bb5ef4840e611d145cfcdee65f2e025e0938e3af090d6381d925c3a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"140d7d15bb5ef4840e611d145cfcdee65f2e025e0938e3af090d6381d925c3a8","first_computed_at":"2026-05-18T04:31:29.847022Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:31:29.847022Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p1fkF+zIXuSOKGdcvXyzsaSNSfPnS2kBev+Z1O47jru+s0dDn916aFkHMbw3bHFILUROhLU5chX+L/zz3VG8AA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:31:29.847626Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.2862","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f0afd2c0ecde85089e6aae25418922fed98fb3960d862ad1b0521096b61febe0","sha256:1bfb60447a2339713526bc0cbda16cd9732a10ddb2599e7bcd7a3fc4cd7dda68"],"state_sha256":"b6bce032bada5d84f76c11ca293a1c42eb53d2e8df1df200e8a970e71caffe8e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yD+bjs9n3OwufA2NZEBWEnHPiEYffXPKTd0GG1VEo5fwjst0as1wvV6OuzIJFnbaKOT0fXr9ZxwlG771Q8AQCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T02:48:33.284623Z","bundle_sha256":"25f01287913fbb2550907c62c65552b6fb6e69585e05033de740528fcac3a731"}}