{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:NYRKN2ZBRX2O22O5WQNIPSUSPD","short_pith_number":"pith:NYRKN2ZB","canonical_record":{"source":{"id":"1902.09510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-25T18:46:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"37b2d2c13ebba4776aeae99ff66b11b62bd01df4ff9387685e58c138b0d3144d","abstract_canon_sha256":"30fe12d9efd3b5ef3c1c923ff93b525f7cd098087917c81ff25207e784ce0d87"},"schema_version":"1.0"},"canonical_sha256":"6e22a6eb218df4ed69ddb41a87ca9278e7628cb20cba583cebf1963530fa511f","source":{"kind":"arxiv","id":"1902.09510","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09510","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09510v1","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09510","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"pith_short_12","alias_value":"NYRKN2ZBRX2O","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NYRKN2ZBRX2O22O5","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NYRKN2ZB","created_at":"2026-05-18T12:33:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:NYRKN2ZBRX2O22O5WQNIPSUSPD","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09510","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-25T18:46:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"37b2d2c13ebba4776aeae99ff66b11b62bd01df4ff9387685e58c138b0d3144d","abstract_canon_sha256":"30fe12d9efd3b5ef3c1c923ff93b525f7cd098087917c81ff25207e784ce0d87"},"schema_version":"1.0"},"canonical_sha256":"6e22a6eb218df4ed69ddb41a87ca9278e7628cb20cba583cebf1963530fa511f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:45.590516Z","signature_b64":"jO+mhUeeGZFjWbSC9S8CIvEPXjJIs4BA/PlsRD4waGysb4BpD5WwuJn1VvVxIaLrCpFuapp0fd3Ir7ni0kI3Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e22a6eb218df4ed69ddb41a87ca9278e7628cb20cba583cebf1963530fa511f","last_reissued_at":"2026-05-17T23:52:45.589923Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:45.589923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09510","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":"2026-05-17T23:52:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iR65ewOhBp6o+8gm8IuhgF2W7SfgF96oGQjtTZf819SWF3S82slkGMHS9pTyKBdMFNA+wzJEtZqCj5UBwaOXBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:16:44.289049Z"},"content_sha256":"119c0b1c8ee1f2c5c5083e941ac52d74b2bc343b10301817e30c97abd8c5b885","schema_version":"1.0","event_id":"sha256:119c0b1c8ee1f2c5c5083e941ac52d74b2bc343b10301817e30c97abd8c5b885"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:NYRKN2ZBRX2O22O5WQNIPSUSPD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Riddhipratim Basu, Shirshendu Ganguly","submitted_at":"2019-02-25T18:46:29Z","abstract_excerpt":"We consider the exactly solvable model of exponential directed last passage percolation on $\\mathbb{Z}^2$ in the large deviation regime. Conditional on the upper tail large deviation event $\\mathcal{U}_{\\delta}:=\\{T_{n}\\geq (4+\\delta)n\\}$ where $T_{n}$ denotes the last passage time from $(1,1)$ to $(n,n)$, we study the geometry of the polymer/geodesic $\\Gamma_{n}$, i.e., the optimal path attaining $T_{n}$. We show that conditioning on $\\mathcal{U}_{\\delta}$ changes the transversal fluctuation exponent from the characteristic $2/3$ of the KPZ universality class to $1/2$, i.e., conditionally, th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09510","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":"2026-05-17T23:52:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZU4MAHDMXIsGwAfiRJWSIK1IFaaGiYKcDqjy8ksfMy0pw2lk/FgzGPqHo5WXRJ4jy/n9Htz6+A2TufMuVBmbBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T03:16:44.289414Z"},"content_sha256":"8d761bfe93f9ca69483536b9145469b245fa937b0440a241bad639cea14ff017","schema_version":"1.0","event_id":"sha256:8d761bfe93f9ca69483536b9145469b245fa937b0440a241bad639cea14ff017"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/bundle.json","state_url":"https://pith.science/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/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":"2026-06-02T03:16:44Z","links":{"resolver":"https://pith.science/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD","bundle":"https://pith.science/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/bundle.json","state":"https://pith.science/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NYRKN2ZBRX2O22O5WQNIPSUSPD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NYRKN2ZBRX2O22O5WQNIPSUSPD","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":"30fe12d9efd3b5ef3c1c923ff93b525f7cd098087917c81ff25207e784ce0d87","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-25T18:46:29Z","title_canon_sha256":"37b2d2c13ebba4776aeae99ff66b11b62bd01df4ff9387685e58c138b0d3144d"},"schema_version":"1.0","source":{"id":"1902.09510","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09510","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09510v1","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09510","created_at":"2026-05-17T23:52:45Z"},{"alias_kind":"pith_short_12","alias_value":"NYRKN2ZBRX2O","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_16","alias_value":"NYRKN2ZBRX2O22O5","created_at":"2026-05-18T12:33:24Z"},{"alias_kind":"pith_short_8","alias_value":"NYRKN2ZB","created_at":"2026-05-18T12:33:24Z"}],"graph_snapshots":[{"event_id":"sha256:8d761bfe93f9ca69483536b9145469b245fa937b0440a241bad639cea14ff017","target":"graph","created_at":"2026-05-17T23:52:45Z","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 the exactly solvable model of exponential directed last passage percolation on $\\mathbb{Z}^2$ in the large deviation regime. Conditional on the upper tail large deviation event $\\mathcal{U}_{\\delta}:=\\{T_{n}\\geq (4+\\delta)n\\}$ where $T_{n}$ denotes the last passage time from $(1,1)$ to $(n,n)$, we study the geometry of the polymer/geodesic $\\Gamma_{n}$, i.e., the optimal path attaining $T_{n}$. We show that conditioning on $\\mathcal{U}_{\\delta}$ changes the transversal fluctuation exponent from the characteristic $2/3$ of the KPZ universality class to $1/2$, i.e., conditionally, th","authors_text":"Riddhipratim Basu, Shirshendu Ganguly","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-25T18:46:29Z","title":"Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09510","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":"sha256:119c0b1c8ee1f2c5c5083e941ac52d74b2bc343b10301817e30c97abd8c5b885","target":"record","created_at":"2026-05-17T23:52:45Z","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":"30fe12d9efd3b5ef3c1c923ff93b525f7cd098087917c81ff25207e784ce0d87","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2019-02-25T18:46:29Z","title_canon_sha256":"37b2d2c13ebba4776aeae99ff66b11b62bd01df4ff9387685e58c138b0d3144d"},"schema_version":"1.0","source":{"id":"1902.09510","kind":"arxiv","version":1}},"canonical_sha256":"6e22a6eb218df4ed69ddb41a87ca9278e7628cb20cba583cebf1963530fa511f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6e22a6eb218df4ed69ddb41a87ca9278e7628cb20cba583cebf1963530fa511f","first_computed_at":"2026-05-17T23:52:45.589923Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:45.589923Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jO+mhUeeGZFjWbSC9S8CIvEPXjJIs4BA/PlsRD4waGysb4BpD5WwuJn1VvVxIaLrCpFuapp0fd3Ir7ni0kI3Bw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:45.590516Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09510","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:119c0b1c8ee1f2c5c5083e941ac52d74b2bc343b10301817e30c97abd8c5b885","sha256:8d761bfe93f9ca69483536b9145469b245fa937b0440a241bad639cea14ff017"],"state_sha256":"145a2e1900c1deceeb820fd975f35552e7a20e5cf0e5e85bb29cd90d44bc261d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YjRwgwrnjDf7uIAdU97hWLJ+mPh1qwjRGQfepCmV9EBGkTKA9L04SmNJF3LJWZdkCLR4K3dSD2eSKUOwiRN9Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T03:16:44.291270Z","bundle_sha256":"b33bb74d0f52f791a6cca4e67126cffb94b8e36c5c3f83c1651c56ab92be9391"}}