{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:YI7VDWMNSO55LDEBLQQRWXCFU6","short_pith_number":"pith:YI7VDWMN","canonical_record":{"source":{"id":"0810.5389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-10-30T00:33:19Z","cross_cats_sorted":[],"title_canon_sha256":"588f1275fc5fb9177e5af30fb5921eb9f285a8ff6b4f21e80cd448d5320594fa","abstract_canon_sha256":"85543f8767afcc1b9b453cf6b57803b588b8ffcf6c437c2de904041fdd9ad06c"},"schema_version":"1.0"},"canonical_sha256":"c23f51d98d93bbd58c815c211b5c45a78238a6f1ffdf5751220427b1836fe3e3","source":{"kind":"arxiv","id":"0810.5389","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5389","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5389v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5389","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"YI7VDWMNSO55","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YI7VDWMNSO55LDEB","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YI7VDWMN","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:YI7VDWMNSO55LDEBLQQRWXCFU6","target":"record","payload":{"canonical_record":{"source":{"id":"0810.5389","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-10-30T00:33:19Z","cross_cats_sorted":[],"title_canon_sha256":"588f1275fc5fb9177e5af30fb5921eb9f285a8ff6b4f21e80cd448d5320594fa","abstract_canon_sha256":"85543f8767afcc1b9b453cf6b57803b588b8ffcf6c437c2de904041fdd9ad06c"},"schema_version":"1.0"},"canonical_sha256":"c23f51d98d93bbd58c815c211b5c45a78238a6f1ffdf5751220427b1836fe3e3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:22.891453Z","signature_b64":"FZP6JgQhhe0L2oxlwUkcR5fJKkA/NDV06C6bH9DeVDZn1CJ5aUOiuKtkbnfHHzbK5rPXb7TXheb07tFMuwD9Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c23f51d98d93bbd58c815c211b5c45a78238a6f1ffdf5751220427b1836fe3e3","last_reissued_at":"2026-05-18T02:15:22.890746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:22.890746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.5389","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bdHgntjcqewcdkbbIMCiOfR3Ch5Jby+D3Q8x82Jqv6kNL/123vOyG5W0yu3Mv3G7mpGBvlyYxgHIW6L6dEVhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:17:02.061848Z"},"content_sha256":"4482475d7882ebe1dbaf45b7bd0e630a03abcd16eb0394b057fe39c6ed51f991","schema_version":"1.0","event_id":"sha256:4482475d7882ebe1dbaf45b7bd0e630a03abcd16eb0394b057fe39c6ed51f991"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:YI7VDWMNSO55LDEBLQQRWXCFU6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the chain length dependence of local correlations in polymer melts and a perturbation theory of symmetric polymer blends","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"David C. Morse, Jun Kyung Chung","submitted_at":"2008-10-30T00:33:19Z","abstract_excerpt":"The self-consistent field (SCF) theory of dense polymer liquids assumes that short-range correlations are almost independent of how monomers are connected into polymers. Some limits of this idea are explored in the context of a perturbation theory for mixtures of structurally identical polymer species, A and B, in which the AB pair interaction differs slightly from the AA and BB interaction, and the difference is controlled by a parameter alpha Expanding the free energy to O(\\alpha) yields an excess free energy of the form alpha $z(N)\\phi_{A}\\phi_{B}$, in both lattice and continuum models, whe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5389","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":"2026-05-18T02:15:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C/4kIAelxC/MaZW8/Hoef/49rLo1IJs34k8aKTQgmFFeLAXFapY7YBTSRfBkMdZlT795uESV4qypJ3Y8A8JkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T19:17:02.062195Z"},"content_sha256":"06eb48ce854d51a793e9d04095c9e51bffb4d2bee87639c6eb612b2b80c1d0b3","schema_version":"1.0","event_id":"sha256:06eb48ce854d51a793e9d04095c9e51bffb4d2bee87639c6eb612b2b80c1d0b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/bundle.json","state_url":"https://pith.science/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/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":"2026-06-06T19:17:02Z","links":{"resolver":"https://pith.science/pith/YI7VDWMNSO55LDEBLQQRWXCFU6","bundle":"https://pith.science/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/bundle.json","state":"https://pith.science/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YI7VDWMNSO55LDEBLQQRWXCFU6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:YI7VDWMNSO55LDEBLQQRWXCFU6","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":"85543f8767afcc1b9b453cf6b57803b588b8ffcf6c437c2de904041fdd9ad06c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-10-30T00:33:19Z","title_canon_sha256":"588f1275fc5fb9177e5af30fb5921eb9f285a8ff6b4f21e80cd448d5320594fa"},"schema_version":"1.0","source":{"id":"0810.5389","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.5389","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"arxiv_version","alias_value":"0810.5389v1","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.5389","created_at":"2026-05-18T02:15:22Z"},{"alias_kind":"pith_short_12","alias_value":"YI7VDWMNSO55","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"YI7VDWMNSO55LDEB","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"YI7VDWMN","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:06eb48ce854d51a793e9d04095c9e51bffb4d2bee87639c6eb612b2b80c1d0b3","target":"graph","created_at":"2026-05-18T02:15:22Z","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":"The self-consistent field (SCF) theory of dense polymer liquids assumes that short-range correlations are almost independent of how monomers are connected into polymers. Some limits of this idea are explored in the context of a perturbation theory for mixtures of structurally identical polymer species, A and B, in which the AB pair interaction differs slightly from the AA and BB interaction, and the difference is controlled by a parameter alpha Expanding the free energy to O(\\alpha) yields an excess free energy of the form alpha $z(N)\\phi_{A}\\phi_{B}$, in both lattice and continuum models, whe","authors_text":"David C. Morse, Jun Kyung Chung","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-10-30T00:33:19Z","title":"On the chain length dependence of local correlations in polymer melts and a perturbation theory of symmetric polymer blends"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.5389","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":"sha256:4482475d7882ebe1dbaf45b7bd0e630a03abcd16eb0394b057fe39c6ed51f991","target":"record","created_at":"2026-05-18T02:15:22Z","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":"85543f8767afcc1b9b453cf6b57803b588b8ffcf6c437c2de904041fdd9ad06c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2008-10-30T00:33:19Z","title_canon_sha256":"588f1275fc5fb9177e5af30fb5921eb9f285a8ff6b4f21e80cd448d5320594fa"},"schema_version":"1.0","source":{"id":"0810.5389","kind":"arxiv","version":1}},"canonical_sha256":"c23f51d98d93bbd58c815c211b5c45a78238a6f1ffdf5751220427b1836fe3e3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c23f51d98d93bbd58c815c211b5c45a78238a6f1ffdf5751220427b1836fe3e3","first_computed_at":"2026-05-18T02:15:22.890746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:22.890746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FZP6JgQhhe0L2oxlwUkcR5fJKkA/NDV06C6bH9DeVDZn1CJ5aUOiuKtkbnfHHzbK5rPXb7TXheb07tFMuwD9Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:22.891453Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.5389","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4482475d7882ebe1dbaf45b7bd0e630a03abcd16eb0394b057fe39c6ed51f991","sha256:06eb48ce854d51a793e9d04095c9e51bffb4d2bee87639c6eb612b2b80c1d0b3"],"state_sha256":"67f491be53e69b9890ded1d5bac39ee0794ea4e8e0b6b97436cf8ac7e05399cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T7TXZOr4AJoR75nEj04/wOSmorQG76Grt74anTvs9jI5Krvk77M4rFFmcV7v2H8dqo15e4nWTiaMCgL5SnsjDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T19:17:02.064461Z","bundle_sha256":"39511667cf3620ec0ab7a29dfe9ba96b1b1b1dffe807d69d940adb08a6033af8"}}