{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:EUVRC3I2E2R2EYWLQFCROQQOZS","short_pith_number":"pith:EUVRC3I2","canonical_record":{"source":{"id":"1211.2793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-12T20:55:17Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"a393fba880411c11bedf8da4447905186439a770b8ddcc9161468061add4af65","abstract_canon_sha256":"48623d018b3596d485a5dac65b13379da71fa09954523b038a518e8cf43f33c5"},"schema_version":"1.0"},"canonical_sha256":"252b116d1a26a3a262cb814517420eccaf82dfbe33bea85be6277a01dd014778","source":{"kind":"arxiv","id":"1211.2793","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2793","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2793v1","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2793","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"pith_short_12","alias_value":"EUVRC3I2E2R2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EUVRC3I2E2R2EYWL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EUVRC3I2","created_at":"2026-05-18T12:27:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:EUVRC3I2E2R2EYWLQFCROQQOZS","target":"record","payload":{"canonical_record":{"source":{"id":"1211.2793","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-12T20:55:17Z","cross_cats_sorted":["cond-mat.soft"],"title_canon_sha256":"a393fba880411c11bedf8da4447905186439a770b8ddcc9161468061add4af65","abstract_canon_sha256":"48623d018b3596d485a5dac65b13379da71fa09954523b038a518e8cf43f33c5"},"schema_version":"1.0"},"canonical_sha256":"252b116d1a26a3a262cb814517420eccaf82dfbe33bea85be6277a01dd014778","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:16.573751Z","signature_b64":"Iz5u+Cwb86O3em+A8s0+nePPowSfLXculoHFaS34aYOMAuM0jH3YLPvJTlhh9pCenXnbMGRXzVt4i58HWNlXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"252b116d1a26a3a262cb814517420eccaf82dfbe33bea85be6277a01dd014778","last_reissued_at":"2026-05-18T01:53:16.573403Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:16.573403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.2793","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":"2026-05-18T01:53:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AcFDTlH9tHu10k0u1yEAFIvBXYBYKAokPCmUx+0a/z3AFvIVUIwRI5CEhg9XYlpn5MIL8rXSTBT6JzioNZIvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:16:31.464707Z"},"content_sha256":"6cc1fa8b9793996ac1c0aa493da73c9b140b8c1ad664ae601bc01a4c0a158f97","schema_version":"1.0","event_id":"sha256:6cc1fa8b9793996ac1c0aa493da73c9b140b8c1ad664ae601bc01a4c0a158f97"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:EUVRC3I2E2R2EYWLQFCROQQOZS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact solution of the Zwanzig-Lauritzen model of Polymer Crystallization under Tension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"D. Thirumalai, Himadri S Samanta","submitted_at":"2012-11-12T20:55:17Z","abstract_excerpt":"We solve a two dimensional model for polymer chain folding in the presence of mechanical pulling force ($f$) exactly using equilibrium statistical mechanics. Using analytically derived expression for the partition function we determine the phase diagram for the model in the $f$-temperature ($T$) plane. A square root singularity in the susceptibility indicates a second order phase transition from a folded to an unfolded state at a critical force ($f_c$) in the thermodynamic limit of infinitely long polymer chain. Surprisingly, the temperature dependence of $f_c$ shows a reentrant phase transiti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2793","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":"2026-05-18T01:53:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EubHUR7SAra7Ka5vp5jK96bKEos7NxtrgtuMaDn6pRYOTJX3guf454Gl3TDJruPWrqYRMtvZMtPaxIoQcd2cCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T06:16:31.465145Z"},"content_sha256":"59cabd7ba26e4bff40c28c5736d8df2fd12869dd5276afaaba1c2355c490f197","schema_version":"1.0","event_id":"sha256:59cabd7ba26e4bff40c28c5736d8df2fd12869dd5276afaaba1c2355c490f197"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/bundle.json","state_url":"https://pith.science/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/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":"2026-05-30T06:16:31Z","links":{"resolver":"https://pith.science/pith/EUVRC3I2E2R2EYWLQFCROQQOZS","bundle":"https://pith.science/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/bundle.json","state":"https://pith.science/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EUVRC3I2E2R2EYWLQFCROQQOZS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:EUVRC3I2E2R2EYWLQFCROQQOZS","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":"48623d018b3596d485a5dac65b13379da71fa09954523b038a518e8cf43f33c5","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-12T20:55:17Z","title_canon_sha256":"a393fba880411c11bedf8da4447905186439a770b8ddcc9161468061add4af65"},"schema_version":"1.0","source":{"id":"1211.2793","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.2793","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"arxiv_version","alias_value":"1211.2793v1","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.2793","created_at":"2026-05-18T01:53:16Z"},{"alias_kind":"pith_short_12","alias_value":"EUVRC3I2E2R2","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"EUVRC3I2E2R2EYWL","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"EUVRC3I2","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:59cabd7ba26e4bff40c28c5736d8df2fd12869dd5276afaaba1c2355c490f197","target":"graph","created_at":"2026-05-18T01:53:16Z","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 solve a two dimensional model for polymer chain folding in the presence of mechanical pulling force ($f$) exactly using equilibrium statistical mechanics. Using analytically derived expression for the partition function we determine the phase diagram for the model in the $f$-temperature ($T$) plane. A square root singularity in the susceptibility indicates a second order phase transition from a folded to an unfolded state at a critical force ($f_c$) in the thermodynamic limit of infinitely long polymer chain. Surprisingly, the temperature dependence of $f_c$ shows a reentrant phase transiti","authors_text":"D. Thirumalai, Himadri S Samanta","cross_cats":["cond-mat.soft"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-12T20:55:17Z","title":"Exact solution of the Zwanzig-Lauritzen model of Polymer Crystallization under Tension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.2793","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":"sha256:6cc1fa8b9793996ac1c0aa493da73c9b140b8c1ad664ae601bc01a4c0a158f97","target":"record","created_at":"2026-05-18T01:53:16Z","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":"48623d018b3596d485a5dac65b13379da71fa09954523b038a518e8cf43f33c5","cross_cats_sorted":["cond-mat.soft"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2012-11-12T20:55:17Z","title_canon_sha256":"a393fba880411c11bedf8da4447905186439a770b8ddcc9161468061add4af65"},"schema_version":"1.0","source":{"id":"1211.2793","kind":"arxiv","version":1}},"canonical_sha256":"252b116d1a26a3a262cb814517420eccaf82dfbe33bea85be6277a01dd014778","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"252b116d1a26a3a262cb814517420eccaf82dfbe33bea85be6277a01dd014778","first_computed_at":"2026-05-18T01:53:16.573403Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:16.573403Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Iz5u+Cwb86O3em+A8s0+nePPowSfLXculoHFaS34aYOMAuM0jH3YLPvJTlhh9pCenXnbMGRXzVt4i58HWNlXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:16.573751Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.2793","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6cc1fa8b9793996ac1c0aa493da73c9b140b8c1ad664ae601bc01a4c0a158f97","sha256:59cabd7ba26e4bff40c28c5736d8df2fd12869dd5276afaaba1c2355c490f197"],"state_sha256":"3d5ff3b61ba69385d4d6af5176e9119dc0d452f9aa9df6df99fdb9b2a2c8c46d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iJi497NsFAlJdJVVHrUaBNHKF111j/GASnseWSMwx23HpnmEm/BJVhGmQW9tSA6B6XCXqEMPXBBG4VnbBrM8Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T06:16:31.467968Z","bundle_sha256":"6e572cc56fa8a21971cb5ba3eb9690d4a5c67a17bfb2cef48ac1c49897430c6b"}}