{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VMZDG74MVOCDXOLDOEJVGSOEL6","short_pith_number":"pith:VMZDG74M","canonical_record":{"source":{"id":"2605.21003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-20T10:41:26Z","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"title_canon_sha256":"3de06b5986321964d1a7f21361c57cdb45384cbd760aca3540ee9ee59d65ee23","abstract_canon_sha256":"6556a620ff9ee0effdcda4f148a98044579f1512a1a39eae7aff68878a2b7cb5"},"schema_version":"1.0"},"canonical_sha256":"ab32337f8cab843bb96371135349c45face300bffe0231a898b8c7142991649d","source":{"kind":"arxiv","id":"2605.21003","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21003","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21003v1","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21003","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"VMZDG74MVOCD","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_16","alias_value":"VMZDG74MVOCDXOLD","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_8","alias_value":"VMZDG74M","created_at":"2026-05-21T01:05:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VMZDG74MVOCDXOLDOEJVGSOEL6","target":"record","payload":{"canonical_record":{"source":{"id":"2605.21003","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-20T10:41:26Z","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"title_canon_sha256":"3de06b5986321964d1a7f21361c57cdb45384cbd760aca3540ee9ee59d65ee23","abstract_canon_sha256":"6556a620ff9ee0effdcda4f148a98044579f1512a1a39eae7aff68878a2b7cb5"},"schema_version":"1.0"},"canonical_sha256":"ab32337f8cab843bb96371135349c45face300bffe0231a898b8c7142991649d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-21T01:05:31.896151Z","signature_b64":"6HWx2zKJ3fn8OngLL+NqEDK0/+Ji1bQilGztkPquEUCUEkyHR29XUIwg4pe7HCFlL9mMej2MjNixjUUiXWnPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab32337f8cab843bb96371135349c45face300bffe0231a898b8c7142991649d","last_reissued_at":"2026-05-21T01:05:31.895490Z","signature_status":"signed_v1","first_computed_at":"2026-05-21T01:05:31.895490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.21003","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":"2026-05-21T01:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"If1ZAZl7gqxDVmY2wbofo3MYHCspWwFYAos/0fX6iB1fSEXYem2NZokcwKZPx36W+7cKSC2tincKkeuSFkm+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:54:52.513485Z"},"content_sha256":"2e5b2363ecc8573fac8b32a382ab6fd54b3b8f0ada13bfe64b0ff03e2c56822a","schema_version":"1.0","event_id":"sha256:2e5b2363ecc8573fac8b32a382ab6fd54b3b8f0ada13bfe64b0ff03e2c56822a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VMZDG74MVOCDXOLDOEJVGSOEL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamic and structural behavior of one-dimensional divalent patchy hard rods: Wertheim's first-order thermodynamic perturbation theory versus exact results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"primary_cat":"cond-mat.soft","authors_text":"Ana M. Montero, Andr\\'es Santos, P\\'eter Gurin, Szabolcs Varga","submitted_at":"2026-05-20T10:41:26Z","abstract_excerpt":"We investigate the thermodynamic and structural properties of divalent patchy hard rods confined to a one-dimensional channel by modeling the bonding sites as attractive square-well (SW) patches located at the rod tips. The zero-range sticky limit is recovered by letting the well width vanish while keeping the stickiness parameter finite. While Wertheim's first-order thermodynamic perturbation theory (TPT1) becomes exact in this sticky limit, it fails for finite-range site-site interactions. We show that the theory can be made exact in one dimension by replacing the standard law of mass action"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21003","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.21003/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-21T01:05:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qt7p5Dc6ZOvakh19wREwV5nW3yhbBgQhIkEsYUm5AuxEW3U8FDDY+gOxZ60Mr3863HhWSNfV4vQedVxKlCSmDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T17:54:52.514153Z"},"content_sha256":"817b9f280cc9f45bb6c1cef639f039d26f59ac6d20419cf2d6cdb3ab14b67b7a","schema_version":"1.0","event_id":"sha256:817b9f280cc9f45bb6c1cef639f039d26f59ac6d20419cf2d6cdb3ab14b67b7a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/bundle.json","state_url":"https://pith.science/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/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":"2026-05-22T17:54:52Z","links":{"resolver":"https://pith.science/pith/VMZDG74MVOCDXOLDOEJVGSOEL6","bundle":"https://pith.science/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/bundle.json","state":"https://pith.science/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VMZDG74MVOCDXOLDOEJVGSOEL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VMZDG74MVOCDXOLDOEJVGSOEL6","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":"6556a620ff9ee0effdcda4f148a98044579f1512a1a39eae7aff68878a2b7cb5","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-20T10:41:26Z","title_canon_sha256":"3de06b5986321964d1a7f21361c57cdb45384cbd760aca3540ee9ee59d65ee23"},"schema_version":"1.0","source":{"id":"2605.21003","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.21003","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"arxiv_version","alias_value":"2605.21003v1","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.21003","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_12","alias_value":"VMZDG74MVOCD","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_16","alias_value":"VMZDG74MVOCDXOLD","created_at":"2026-05-21T01:05:31Z"},{"alias_kind":"pith_short_8","alias_value":"VMZDG74M","created_at":"2026-05-21T01:05:31Z"}],"graph_snapshots":[{"event_id":"sha256:817b9f280cc9f45bb6c1cef639f039d26f59ac6d20419cf2d6cdb3ab14b67b7a","target":"graph","created_at":"2026-05-21T01:05:31Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.21003/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the thermodynamic and structural properties of divalent patchy hard rods confined to a one-dimensional channel by modeling the bonding sites as attractive square-well (SW) patches located at the rod tips. The zero-range sticky limit is recovered by letting the well width vanish while keeping the stickiness parameter finite. While Wertheim's first-order thermodynamic perturbation theory (TPT1) becomes exact in this sticky limit, it fails for finite-range site-site interactions. We show that the theory can be made exact in one dimension by replacing the standard law of mass action","authors_text":"Ana M. Montero, Andr\\'es Santos, P\\'eter Gurin, Szabolcs Varga","cross_cats":["cond-mat.stat-mech","physics.chem-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-20T10:41:26Z","title":"Thermodynamic and structural behavior of one-dimensional divalent patchy hard rods: Wertheim's first-order thermodynamic perturbation theory versus exact results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.21003","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":"sha256:2e5b2363ecc8573fac8b32a382ab6fd54b3b8f0ada13bfe64b0ff03e2c56822a","target":"record","created_at":"2026-05-21T01:05:31Z","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":"6556a620ff9ee0effdcda4f148a98044579f1512a1a39eae7aff68878a2b7cb5","cross_cats_sorted":["cond-mat.stat-mech","physics.chem-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2026-05-20T10:41:26Z","title_canon_sha256":"3de06b5986321964d1a7f21361c57cdb45384cbd760aca3540ee9ee59d65ee23"},"schema_version":"1.0","source":{"id":"2605.21003","kind":"arxiv","version":1}},"canonical_sha256":"ab32337f8cab843bb96371135349c45face300bffe0231a898b8c7142991649d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ab32337f8cab843bb96371135349c45face300bffe0231a898b8c7142991649d","first_computed_at":"2026-05-21T01:05:31.895490Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-21T01:05:31.895490Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6HWx2zKJ3fn8OngLL+NqEDK0/+Ji1bQilGztkPquEUCUEkyHR29XUIwg4pe7HCFlL9mMej2MjNixjUUiXWnPCw==","signature_status":"signed_v1","signed_at":"2026-05-21T01:05:31.896151Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.21003","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e5b2363ecc8573fac8b32a382ab6fd54b3b8f0ada13bfe64b0ff03e2c56822a","sha256:817b9f280cc9f45bb6c1cef639f039d26f59ac6d20419cf2d6cdb3ab14b67b7a"],"state_sha256":"8d2abb5ed21402a389d72e83d92ec80dec07b0cf7c931e6a91086a615ec36fd9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yuc7n6nzYuJDDqB5LAA1t1YjVGK4wBgp4u4xJ24dSnKjKYn6zWQ/OtZ4S+ZZeQoupBhxrdogZWBmVGIXyF1GDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T17:54:52.517810Z","bundle_sha256":"57c9d3c5eebe7c66fe20feae3a22d7012c373d5157918ea317863a058c01535c"}}