{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:EMTOBIRNVLLLOG7EGRTU6SARNH","short_pith_number":"pith:EMTOBIRN","canonical_record":{"source":{"id":"0704.2584","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-04-19T18:38:01Z","cross_cats_sorted":[],"title_canon_sha256":"69842c044ed822360221b8ac84c8ef051bd194923be666e693747fb7cbdfc95f","abstract_canon_sha256":"5ce90018ae50e265a667d5493407a7fcbc5d66429fac101f0e80e2cafacd74e7"},"schema_version":"1.0"},"canonical_sha256":"2326e0a22daad6b71be434674f481169d831b6f470efe56b7bc331f30e17a93a","source":{"kind":"arxiv","id":"0704.2584","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.2584","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0704.2584v1","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.2584","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"EMTOBIRNVLLL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EMTOBIRNVLLLOG7E","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EMTOBIRN","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:EMTOBIRNVLLLOG7EGRTU6SARNH","target":"record","payload":{"canonical_record":{"source":{"id":"0704.2584","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-04-19T18:38:01Z","cross_cats_sorted":[],"title_canon_sha256":"69842c044ed822360221b8ac84c8ef051bd194923be666e693747fb7cbdfc95f","abstract_canon_sha256":"5ce90018ae50e265a667d5493407a7fcbc5d66429fac101f0e80e2cafacd74e7"},"schema_version":"1.0"},"canonical_sha256":"2326e0a22daad6b71be434674f481169d831b6f470efe56b7bc331f30e17a93a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:18:13.690948Z","signature_b64":"5Z5x18fuZbj6F36sBfOS7AUayof43EQkfHfX0QsLtku4Ax4CnlKFz/V8lDyK8rAllV0Vh+CzjK23afOOkXCPDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2326e0a22daad6b71be434674f481169d831b6f470efe56b7bc331f30e17a93a","last_reissued_at":"2026-05-18T04:18:13.690429Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:18:13.690429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0704.2584","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IprJBH90myfFF70Sg6yrBB/XykjQDmck4fxxImJAuEFBx52FOhQ5dMXyHutHPT2omlAaHlu1J+0OTaGhP2LaDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:32:13.461859Z"},"content_sha256":"03633604159b1ba33499f1669f4c6b07be44821b6105fceb26c340a029c5766c","schema_version":"1.0","event_id":"sha256:03633604159b1ba33499f1669f4c6b07be44821b6105fceb26c340a029c5766c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:EMTOBIRNVLLLOG7EGRTU6SARNH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Free energy and extension of a semiflexible polymer in cylindrical confining geometries","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Gerhard Gompper, Theodore W. Burkhardt, Yingzi Yang","submitted_at":"2007-04-19T18:38:01Z","abstract_excerpt":"We consider a long, semiflexible polymer, with persistence length $P$ and contour length $L$, fluctuating in a narrow cylindrical channel of diameter $D$. In the regime $D\\ll P\\ll L$ the free energy of confinement $\\Delta F$ and the length of the channel $R_\\parallel$ occupied by the polymer are given by Odijk's relations $\\Delta F/R_\\parallel=A_\\circ k_BTP^{-1/3}D^{-2/3}$ and $R_\\parallel=L[1-\\alpha_\\circ(D/P)^{2/3}]$, where $A_\\circ$ and $\\alpha_\\circ$ are dimensionless amplitudes. Using a simulation algorithm inspired by PERM (Pruned Enriched Rosenbluth Method), which yields results for ver"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.2584","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:18:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvjaZED9cSy5Fe4QMCm78CVELhvYWQaGmWZDoSa60KpXbuC8v1QCpuIOjBabf85NuAW+iOoBNcH80O11FVfWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T02:32:13.462640Z"},"content_sha256":"633cda8c2a1b1c61705d7d398000f8f106b20eb10c0c27515665a3985b83775b","schema_version":"1.0","event_id":"sha256:633cda8c2a1b1c61705d7d398000f8f106b20eb10c0c27515665a3985b83775b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/bundle.json","state_url":"https://pith.science/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/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":"2026-06-01T02:32:13Z","links":{"resolver":"https://pith.science/pith/EMTOBIRNVLLLOG7EGRTU6SARNH","bundle":"https://pith.science/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/bundle.json","state":"https://pith.science/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EMTOBIRNVLLLOG7EGRTU6SARNH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:EMTOBIRNVLLLOG7EGRTU6SARNH","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":"5ce90018ae50e265a667d5493407a7fcbc5d66429fac101f0e80e2cafacd74e7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-04-19T18:38:01Z","title_canon_sha256":"69842c044ed822360221b8ac84c8ef051bd194923be666e693747fb7cbdfc95f"},"schema_version":"1.0","source":{"id":"0704.2584","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0704.2584","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"arxiv_version","alias_value":"0704.2584v1","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0704.2584","created_at":"2026-05-18T04:18:13Z"},{"alias_kind":"pith_short_12","alias_value":"EMTOBIRNVLLL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"EMTOBIRNVLLLOG7E","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"EMTOBIRN","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:633cda8c2a1b1c61705d7d398000f8f106b20eb10c0c27515665a3985b83775b","target":"graph","created_at":"2026-05-18T04:18:13Z","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":"We consider a long, semiflexible polymer, with persistence length $P$ and contour length $L$, fluctuating in a narrow cylindrical channel of diameter $D$. In the regime $D\\ll P\\ll L$ the free energy of confinement $\\Delta F$ and the length of the channel $R_\\parallel$ occupied by the polymer are given by Odijk's relations $\\Delta F/R_\\parallel=A_\\circ k_BTP^{-1/3}D^{-2/3}$ and $R_\\parallel=L[1-\\alpha_\\circ(D/P)^{2/3}]$, where $A_\\circ$ and $\\alpha_\\circ$ are dimensionless amplitudes. Using a simulation algorithm inspired by PERM (Pruned Enriched Rosenbluth Method), which yields results for ver","authors_text":"Gerhard Gompper, Theodore W. Burkhardt, Yingzi Yang","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-04-19T18:38:01Z","title":"Free energy and extension of a semiflexible polymer in cylindrical confining geometries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0704.2584","kind":"arxiv","version":1},"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":"sha256:03633604159b1ba33499f1669f4c6b07be44821b6105fceb26c340a029c5766c","target":"record","created_at":"2026-05-18T04:18:13Z","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":"5ce90018ae50e265a667d5493407a7fcbc5d66429fac101f0e80e2cafacd74e7","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.soft","submitted_at":"2007-04-19T18:38:01Z","title_canon_sha256":"69842c044ed822360221b8ac84c8ef051bd194923be666e693747fb7cbdfc95f"},"schema_version":"1.0","source":{"id":"0704.2584","kind":"arxiv","version":1}},"canonical_sha256":"2326e0a22daad6b71be434674f481169d831b6f470efe56b7bc331f30e17a93a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2326e0a22daad6b71be434674f481169d831b6f470efe56b7bc331f30e17a93a","first_computed_at":"2026-05-18T04:18:13.690429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:13.690429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5Z5x18fuZbj6F36sBfOS7AUayof43EQkfHfX0QsLtku4Ax4CnlKFz/V8lDyK8rAllV0Vh+CzjK23afOOkXCPDA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:13.690948Z","signed_message":"canonical_sha256_bytes"},"source_id":"0704.2584","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:03633604159b1ba33499f1669f4c6b07be44821b6105fceb26c340a029c5766c","sha256:633cda8c2a1b1c61705d7d398000f8f106b20eb10c0c27515665a3985b83775b"],"state_sha256":"2a910afd2d22691b696750e705b8eaab4475c58479fc7248d695c6ac996d7371"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D1nnH9pN37kBIkxhvGWkL0zfIlO6h/CpmzQtfl2iZtz78KSLmmVnFkHsN2XUQ9M1RbRVi0i2l3G3zNGcs9ahCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T02:32:13.467002Z","bundle_sha256":"49d750f4d2c5a19d1e3762d81daf217683f73193bf2f96ccaf15bc6429699926"}}