{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:I3MEDVJZDP4P4ENSC5RQAAIRG2","short_pith_number":"pith:I3MEDVJZ","canonical_record":{"source":{"id":"1109.6555","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T15:20:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4ce18572b0551486b20b1aa6dcc1e50cc33359ac2ff75da3e92d76efa73901a4","abstract_canon_sha256":"9c88e30405ef61d1b35d0fe966ebec8e3e3295510c5103cc695e78f265e5b10d"},"schema_version":"1.0"},"canonical_sha256":"46d841d5391bf8fe11b217630001113693fd88b04b96b60cd893309edd5edf72","source":{"kind":"arxiv","id":"1109.6555","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6555","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6555v2","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6555","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"I3MEDVJZDP4P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I3MEDVJZDP4P4ENS","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I3MEDVJZ","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:I3MEDVJZDP4P4ENSC5RQAAIRG2","target":"record","payload":{"canonical_record":{"source":{"id":"1109.6555","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T15:20:11Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"4ce18572b0551486b20b1aa6dcc1e50cc33359ac2ff75da3e92d76efa73901a4","abstract_canon_sha256":"9c88e30405ef61d1b35d0fe966ebec8e3e3295510c5103cc695e78f265e5b10d"},"schema_version":"1.0"},"canonical_sha256":"46d841d5391bf8fe11b217630001113693fd88b04b96b60cd893309edd5edf72","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:13.478598Z","signature_b64":"1hUmY6xe0oAOsXSM0PG/TelLuTfQAzuTuke/wSVGimk6mtoMR8HQd+Z+xm0+voVFUrP1iMtekzKEYL6yFlPhCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"46d841d5391bf8fe11b217630001113693fd88b04b96b60cd893309edd5edf72","last_reissued_at":"2026-05-18T04:02:13.477884Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:13.477884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.6555","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":"2026-05-18T04:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WtD8PQeszBZh/6YJd6FqfVTV4dcnW0plZJmX50GaaPDM/VPEXcGO+sGYcTLB8KVT8qrYE+UKkDALAIime/bdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:47:09.731438Z"},"content_sha256":"9e22142b9ccfdfc0ff5e99234cd3b142e446de6c1c4432af8129d17152cd00c9","schema_version":"1.0","event_id":"sha256:9e22142b9ccfdfc0ff5e99234cd3b142e446de6c1c4432af8129d17152cd00c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:I3MEDVJZDP4P4ENSC5RQAAIRG2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Confinement of semiflexible polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.soft","authors_text":"Jemal Guven, Pablo V\\'azquez-Montejo","submitted_at":"2011-09-29T15:20:11Z","abstract_excerpt":"A variational framework is developed to examine the equilibrium states of a semi-flexible polymer that is constrained to lie on a fixed surface. As an application the confinement of a closed polymer loop of fixed length $2\\pi R$ within a spherical cavity of smaller radius, $R_0$, is considered. It is shown that an infinite number of distinct periodic completely attached equilibrium states exist, labeled by two integers: $n=2,3,4,...$ and $p=1,2,3,...$, the number of periods of the polar and azimuthal angles respectively. Small loops oscillate about a geodesic circle: $n=2$, $p=1$ is the stable"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6555","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":"2026-05-18T04:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e4NdC7MFMGVxhrm2qjHlWIpWr4EB1b5uhfz2+92Sj2YnCZWGYfkugN+BPxSFJGJVUdW7GnENvYcxQG+BE/YjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T12:47:09.731788Z"},"content_sha256":"93f687af576f1329c9f8f857d24427b931efbcdccc5e3b24c1a616ef9f753922","schema_version":"1.0","event_id":"sha256:93f687af576f1329c9f8f857d24427b931efbcdccc5e3b24c1a616ef9f753922"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/bundle.json","state_url":"https://pith.science/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/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":"2026-06-05T12:47:09Z","links":{"resolver":"https://pith.science/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2","bundle":"https://pith.science/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/bundle.json","state":"https://pith.science/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/I3MEDVJZDP4P4ENSC5RQAAIRG2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:I3MEDVJZDP4P4ENSC5RQAAIRG2","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":"9c88e30405ef61d1b35d0fe966ebec8e3e3295510c5103cc695e78f265e5b10d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T15:20:11Z","title_canon_sha256":"4ce18572b0551486b20b1aa6dcc1e50cc33359ac2ff75da3e92d76efa73901a4"},"schema_version":"1.0","source":{"id":"1109.6555","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6555","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6555v2","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6555","created_at":"2026-05-18T04:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"I3MEDVJZDP4P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"I3MEDVJZDP4P4ENS","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"I3MEDVJZ","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:93f687af576f1329c9f8f857d24427b931efbcdccc5e3b24c1a616ef9f753922","target":"graph","created_at":"2026-05-18T04:02:13Z","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":"A variational framework is developed to examine the equilibrium states of a semi-flexible polymer that is constrained to lie on a fixed surface. As an application the confinement of a closed polymer loop of fixed length $2\\pi R$ within a spherical cavity of smaller radius, $R_0$, is considered. It is shown that an infinite number of distinct periodic completely attached equilibrium states exist, labeled by two integers: $n=2,3,4,...$ and $p=1,2,3,...$, the number of periods of the polar and azimuthal angles respectively. Small loops oscillate about a geodesic circle: $n=2$, $p=1$ is the stable","authors_text":"Jemal Guven, Pablo V\\'azquez-Montejo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T15:20:11Z","title":"Confinement of semiflexible polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6555","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":"sha256:9e22142b9ccfdfc0ff5e99234cd3b142e446de6c1c4432af8129d17152cd00c9","target":"record","created_at":"2026-05-18T04:02:13Z","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":"9c88e30405ef61d1b35d0fe966ebec8e3e3295510c5103cc695e78f265e5b10d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2011-09-29T15:20:11Z","title_canon_sha256":"4ce18572b0551486b20b1aa6dcc1e50cc33359ac2ff75da3e92d76efa73901a4"},"schema_version":"1.0","source":{"id":"1109.6555","kind":"arxiv","version":2}},"canonical_sha256":"46d841d5391bf8fe11b217630001113693fd88b04b96b60cd893309edd5edf72","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"46d841d5391bf8fe11b217630001113693fd88b04b96b60cd893309edd5edf72","first_computed_at":"2026-05-18T04:02:13.477884Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:13.477884Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1hUmY6xe0oAOsXSM0PG/TelLuTfQAzuTuke/wSVGimk6mtoMR8HQd+Z+xm0+voVFUrP1iMtekzKEYL6yFlPhCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:13.478598Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6555","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e22142b9ccfdfc0ff5e99234cd3b142e446de6c1c4432af8129d17152cd00c9","sha256:93f687af576f1329c9f8f857d24427b931efbcdccc5e3b24c1a616ef9f753922"],"state_sha256":"932582e3ecfaf4dfb4bf86aff5697ed556ffd691dd717334a0e81455efff3cdb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpYJZcQ0Gifk0GTSwSYPdI3RTB+gnKH+KNzXzgH3rPfa43//D2gk8lfLKxG2A1GfDTSJlYukFu1OOELgwEM/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T12:47:09.733990Z","bundle_sha256":"03fd47c2dac58eafcfa73fa4b30f6b7f5e2e275f7578eeb22f6d879f685a2d8b"}}