{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AFOPOFKSU3EILDB6EXTKZ762ET","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":"ae9239b1c221d87f1d9e5af635669bfd336099bede96053c610831263d5063f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-17T17:53:24Z","title_canon_sha256":"306e16a274cd15b9f86288fd8162281aeedee77aaeec2728103ab964dd610576"},"schema_version":"1.0","source":{"id":"1610.05230","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.05230","created_at":"2026-05-18T00:52:38Z"},{"alias_kind":"arxiv_version","alias_value":"1610.05230v1","created_at":"2026-05-18T00:52:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.05230","created_at":"2026-05-18T00:52:38Z"},{"alias_kind":"pith_short_12","alias_value":"AFOPOFKSU3EI","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AFOPOFKSU3EILDB6","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AFOPOFKS","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:c00e15f170f993e12a52160a4dcbeb083161af343aab9c0315269f284dbca017","target":"graph","created_at":"2026-05-18T00:52:38Z","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":"While Flory theories provide an extremely useful framework for understanding the behavior of interacting, randomly branching polymers, the approach is inherently limited. Here we use a combination of scaling arguments and computer simulations to go beyond a Gaussian description. We analyse distributions functions for a wide variety of quantities characterising the tree connectivities and conformations for the four different statistical ensembles, which we have studied numerically in [Rosa and Everaers, J. Phys. A (2016, published) and J. Chem. Phys. (2016, to appear)]: (a) ideal randomly branc","authors_text":"Angelo Rosa, Ralf Everaers","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-17T17:53:24Z","title":"Beyond Flory theory: Distribution functions for interacting lattice trees"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.05230","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:c851333d43a611baaef2091d47948352abe643ec94e7d0bf78873c36c6c1231e","target":"record","created_at":"2026-05-18T00:52:38Z","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":"ae9239b1c221d87f1d9e5af635669bfd336099bede96053c610831263d5063f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-10-17T17:53:24Z","title_canon_sha256":"306e16a274cd15b9f86288fd8162281aeedee77aaeec2728103ab964dd610576"},"schema_version":"1.0","source":{"id":"1610.05230","kind":"arxiv","version":1}},"canonical_sha256":"015cf71552a6c8858c3e25e6acffda24dd57f7d14d686e40dad344ea5aa918b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"015cf71552a6c8858c3e25e6acffda24dd57f7d14d686e40dad344ea5aa918b5","first_computed_at":"2026-05-18T00:52:38.350823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:38.350823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dQDdqZq+VWYzAv6ZpGygkRqmGtJp1Ct+/3zU7ql2gFmYhLopuq3nlgGwWfNjENSP3L9d1fSosJLsUDppab7hCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:38.351393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.05230","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c851333d43a611baaef2091d47948352abe643ec94e7d0bf78873c36c6c1231e","sha256:c00e15f170f993e12a52160a4dcbeb083161af343aab9c0315269f284dbca017"],"state_sha256":"aea8b5d633bd4990c2196e21294a6b00eb18f952d4e8790744a7c0690f73c3c0"}