{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5ECDEO7VJUHV6REZP4BXWXLTWA","short_pith_number":"pith:5ECDEO7V","canonical_record":{"source":{"id":"2512.19987","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-12-23T02:26:34Z","cross_cats_sorted":["math.MP","physics.class-ph"],"title_canon_sha256":"7bb3b09d4390aef43b28992ae953f1e25fd53da2563de04a9d42cf271206b128","abstract_canon_sha256":"c56cba05f376455dd40a1496b702ea8f38aadf8bc3ba20194b61b781a4955874"},"schema_version":"1.0"},"canonical_sha256":"e904323bf54d0f5f44997f037b5d73b030aee47822eb32dd7ff1f14bed3cbc6a","source":{"kind":"arxiv","id":"2512.19987","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.19987","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"arxiv_version","alias_value":"2512.19987v2","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.19987","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_12","alias_value":"5ECDEO7VJUHV","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_16","alias_value":"5ECDEO7VJUHV6REZ","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_8","alias_value":"5ECDEO7V","created_at":"2026-06-05T01:14:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5ECDEO7VJUHV6REZP4BXWXLTWA","target":"record","payload":{"canonical_record":{"source":{"id":"2512.19987","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-12-23T02:26:34Z","cross_cats_sorted":["math.MP","physics.class-ph"],"title_canon_sha256":"7bb3b09d4390aef43b28992ae953f1e25fd53da2563de04a9d42cf271206b128","abstract_canon_sha256":"c56cba05f376455dd40a1496b702ea8f38aadf8bc3ba20194b61b781a4955874"},"schema_version":"1.0"},"canonical_sha256":"e904323bf54d0f5f44997f037b5d73b030aee47822eb32dd7ff1f14bed3cbc6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:14:32.740215Z","signature_b64":"OeSyFmZGzepkMV4xMxLzyQ5vjOEnmSPzY2xWa0MJ57wxK3nQfSiIoFZ0AhOzTRTwTid5BGs8c+P8kCOA+K8ZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e904323bf54d0f5f44997f037b5d73b030aee47822eb32dd7ff1f14bed3cbc6a","last_reissued_at":"2026-06-05T01:14:32.739607Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:14:32.739607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2512.19987","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":"2026-06-05T01:14:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wayHI/o8rh3SmQx2rNa4htAgoLw9zIjDulGmvPZzIvwEvij412cASkg/PGd19S16CbzUCYUj1Fa8SiudNZtuDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T01:04:51.712737Z"},"content_sha256":"145b62ed00ea8ff2bd9a8c778128aa9da1cd702a804e25a44fa26690667fe1b3","schema_version":"1.0","event_id":"sha256:145b62ed00ea8ff2bd9a8c778128aa9da1cd702a804e25a44fa26690667fe1b3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5ECDEO7VJUHV6REZP4BXWXLTWA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harnessing Eversion Buckling for Ideal Omnidirectional Energy Absorption","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.MP","physics.class-ph"],"primary_cat":"math-ph","authors_text":"Aijie Tang, Junjie Liu, Mingchao Liu, Qingsheng Yang, Xiaoding Wei","submitted_at":"2025-12-23T02:26:34Z","abstract_excerpt":"Thin shells can undergo large shape changes governed by the competition between bending and membrane energies. Here, we identify an instability mechanism in everted toroidal shells, referred to as eversion buckling. After eversion, the axisymmetric configuration may either remain stable or lose stability through symmetry breaking, depending on geometry. A scaling analysis reveals a dimensionless parameter that characterizes the ratio between membrane and bending energies. This parameter defines a critical threshold separating a bistable regime, where the axisymmetric everted state persists, fr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.19987","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2512.19987/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-05T01:14:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wYGOe97feSNHNQXcuoAE1BQw1T2CMH56oDdjsLgzYPnIGDngxz07TxLDVLUVe5nFSV3tV3wXBhSl3dLXrA5+CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-23T01:04:51.713246Z"},"content_sha256":"e5d5ee8850bdfb0861f248de89a8fafdeab27de28931ad322194174fd230c0ca","schema_version":"1.0","event_id":"sha256:e5d5ee8850bdfb0861f248de89a8fafdeab27de28931ad322194174fd230c0ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/bundle.json","state_url":"https://pith.science/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/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":"2026-08-23T01:04:51Z","links":{"resolver":"https://pith.science/pith/5ECDEO7VJUHV6REZP4BXWXLTWA","bundle":"https://pith.science/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/bundle.json","state":"https://pith.science/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ECDEO7VJUHV6REZP4BXWXLTWA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5ECDEO7VJUHV6REZP4BXWXLTWA","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":"c56cba05f376455dd40a1496b702ea8f38aadf8bc3ba20194b61b781a4955874","cross_cats_sorted":["math.MP","physics.class-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-12-23T02:26:34Z","title_canon_sha256":"7bb3b09d4390aef43b28992ae953f1e25fd53da2563de04a9d42cf271206b128"},"schema_version":"1.0","source":{"id":"2512.19987","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.19987","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"arxiv_version","alias_value":"2512.19987v2","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.19987","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_12","alias_value":"5ECDEO7VJUHV","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_16","alias_value":"5ECDEO7VJUHV6REZ","created_at":"2026-06-05T01:14:32Z"},{"alias_kind":"pith_short_8","alias_value":"5ECDEO7V","created_at":"2026-06-05T01:14:32Z"}],"graph_snapshots":[{"event_id":"sha256:e5d5ee8850bdfb0861f248de89a8fafdeab27de28931ad322194174fd230c0ca","target":"graph","created_at":"2026-06-05T01:14:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2512.19987/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Thin shells can undergo large shape changes governed by the competition between bending and membrane energies. Here, we identify an instability mechanism in everted toroidal shells, referred to as eversion buckling. After eversion, the axisymmetric configuration may either remain stable or lose stability through symmetry breaking, depending on geometry. A scaling analysis reveals a dimensionless parameter that characterizes the ratio between membrane and bending energies. This parameter defines a critical threshold separating a bistable regime, where the axisymmetric everted state persists, fr","authors_text":"Aijie Tang, Junjie Liu, Mingchao Liu, Qingsheng Yang, Xiaoding Wei","cross_cats":["math.MP","physics.class-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-12-23T02:26:34Z","title":"Harnessing Eversion Buckling for Ideal Omnidirectional Energy Absorption"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.19987","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":"sha256:145b62ed00ea8ff2bd9a8c778128aa9da1cd702a804e25a44fa26690667fe1b3","target":"record","created_at":"2026-06-05T01:14:32Z","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":"c56cba05f376455dd40a1496b702ea8f38aadf8bc3ba20194b61b781a4955874","cross_cats_sorted":["math.MP","physics.class-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2025-12-23T02:26:34Z","title_canon_sha256":"7bb3b09d4390aef43b28992ae953f1e25fd53da2563de04a9d42cf271206b128"},"schema_version":"1.0","source":{"id":"2512.19987","kind":"arxiv","version":2}},"canonical_sha256":"e904323bf54d0f5f44997f037b5d73b030aee47822eb32dd7ff1f14bed3cbc6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e904323bf54d0f5f44997f037b5d73b030aee47822eb32dd7ff1f14bed3cbc6a","first_computed_at":"2026-06-05T01:14:32.739607Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:14:32.739607Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OeSyFmZGzepkMV4xMxLzyQ5vjOEnmSPzY2xWa0MJ57wxK3nQfSiIoFZ0AhOzTRTwTid5BGs8c+P8kCOA+K8ZDQ==","signature_status":"signed_v1","signed_at":"2026-06-05T01:14:32.740215Z","signed_message":"canonical_sha256_bytes"},"source_id":"2512.19987","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:145b62ed00ea8ff2bd9a8c778128aa9da1cd702a804e25a44fa26690667fe1b3","sha256:e5d5ee8850bdfb0861f248de89a8fafdeab27de28931ad322194174fd230c0ca"],"state_sha256":"c1e4e8debb5df4c6fdad135c36bd6f3ff921f8be993274af6619f322c82de18a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ov9NHHwHHIfsRhwV3pez39/ju6s3giFgaCP255nXgXVwTFtBIA8pPax1vlIn/upOWgslJNykMIFPO6mfxYvnAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-23T01:04:51.718127Z","bundle_sha256":"eb643f027738320019fd804851dcb60423e1b9827f350539be0ccba4a32b6fd2"}}