{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:BOVGYYTSM3ORRRTBLFBNU7UVWD","short_pith_number":"pith:BOVGYYTS","canonical_record":{"source":{"id":"2201.07333","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-18T22:01:26Z","cross_cats_sorted":[],"title_canon_sha256":"fd913891f5127385d7f601651bbfad6b62ed6ad1c5e880213397bdc3753e8fe0","abstract_canon_sha256":"4cde2a75a8b0f094c616cb8925a91b3f0174e98e4530f822cca7ea17b19ca310"},"schema_version":"1.0"},"canonical_sha256":"0baa6c627266dd18c6615942da7e95b0ddab368445dfaec4aabf821cfec03dec","source":{"kind":"arxiv","id":"2201.07333","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.07333","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"arxiv_version","alias_value":"2201.07333v4","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.07333","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_12","alias_value":"BOVGYYTSM3OR","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_16","alias_value":"BOVGYYTSM3ORRRTB","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_8","alias_value":"BOVGYYTS","created_at":"2026-07-05T10:11:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:BOVGYYTSM3ORRRTBLFBNU7UVWD","target":"record","payload":{"canonical_record":{"source":{"id":"2201.07333","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-18T22:01:26Z","cross_cats_sorted":[],"title_canon_sha256":"fd913891f5127385d7f601651bbfad6b62ed6ad1c5e880213397bdc3753e8fe0","abstract_canon_sha256":"4cde2a75a8b0f094c616cb8925a91b3f0174e98e4530f822cca7ea17b19ca310"},"schema_version":"1.0"},"canonical_sha256":"0baa6c627266dd18c6615942da7e95b0ddab368445dfaec4aabf821cfec03dec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:11:11.009656Z","signature_b64":"kqPU2O4dN/gLCFzoX+5Z3MlD4jvv8V2GuZWtQ/fqv1D5OZHTMXCUDcSA5/mhBygKYBkKZvJIyHCwgFlzDNpNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0baa6c627266dd18c6615942da7e95b0ddab368445dfaec4aabf821cfec03dec","last_reissued_at":"2026-07-05T10:11:11.009028Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:11:11.009028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2201.07333","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T10:11:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ydzSb1/cTSTeL9xMuPqnZ6vh3clnanYL18e9iXCzxz2U/karNOc41DWW5OTbfvdRtGSv09LwlAktRvYGp1E5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T16:15:03.321841Z"},"content_sha256":"90ee856589715a3323b39949b63660c35a54491acf19afbef87a6b57b561c2f9","schema_version":"1.0","event_id":"sha256:90ee856589715a3323b39949b63660c35a54491acf19afbef87a6b57b561c2f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:BOVGYYTSM3ORRRTBLFBNU7UVWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Newton polytope and Lorentzian property of chromatic symmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Alejandro H. Morales, Jacob P. Matherne, Jesse Selover","submitted_at":"2022-01-18T22:01:26Z","abstract_excerpt":"Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and diagonal harmonics. Motivated by the Stanley--Stembridge conjecture, we show that the allowable coloring weights for indifference graphs of Dyck paths are the lattice points of a permutahedron $\\mathcal{P}_\\lambda$, and we give a formula for the dominant weight $\\lambda$. Furthermore, we conjecture that such chromatic symmetric functions are Lorentzian, a property introduced by Br\\\"and\\'en and Huh as a bridge between "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.07333","kind":"arxiv","version":4},"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/2201.07333/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":"2026-07-05T10:11:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IzJRqNLaqVBJ3Rh5tyn9uA119mzEBrdLj0bu8q9lQUdwUSbv3TNlG3Agm8S3wF8akSgf0WDSBmZfdsBMp6yQAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T16:15:03.322220Z"},"content_sha256":"38a88b4eb169272d7088b235f61eeb9086cc451501018ae565f8070134aa75eb","schema_version":"1.0","event_id":"sha256:38a88b4eb169272d7088b235f61eeb9086cc451501018ae565f8070134aa75eb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/bundle.json","state_url":"https://pith.science/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/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":"2026-07-06T16:15:03Z","links":{"resolver":"https://pith.science/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD","bundle":"https://pith.science/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/bundle.json","state":"https://pith.science/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BOVGYYTSM3ORRRTBLFBNU7UVWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BOVGYYTSM3ORRRTBLFBNU7UVWD","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":"4cde2a75a8b0f094c616cb8925a91b3f0174e98e4530f822cca7ea17b19ca310","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-18T22:01:26Z","title_canon_sha256":"fd913891f5127385d7f601651bbfad6b62ed6ad1c5e880213397bdc3753e8fe0"},"schema_version":"1.0","source":{"id":"2201.07333","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.07333","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"arxiv_version","alias_value":"2201.07333v4","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.07333","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_12","alias_value":"BOVGYYTSM3OR","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_16","alias_value":"BOVGYYTSM3ORRRTB","created_at":"2026-07-05T10:11:11Z"},{"alias_kind":"pith_short_8","alias_value":"BOVGYYTS","created_at":"2026-07-05T10:11:11Z"}],"graph_snapshots":[{"event_id":"sha256:38a88b4eb169272d7088b235f61eeb9086cc451501018ae565f8070134aa75eb","target":"graph","created_at":"2026-07-05T10:11:11Z","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/2201.07333/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Chromatic symmetric functions are well-studied symmetric functions in algebraic combinatorics that generalize the chromatic polynomial and are related to Hessenberg varieties and diagonal harmonics. Motivated by the Stanley--Stembridge conjecture, we show that the allowable coloring weights for indifference graphs of Dyck paths are the lattice points of a permutahedron $\\mathcal{P}_\\lambda$, and we give a formula for the dominant weight $\\lambda$. Furthermore, we conjecture that such chromatic symmetric functions are Lorentzian, a property introduced by Br\\\"and\\'en and Huh as a bridge between ","authors_text":"Alejandro H. Morales, Jacob P. Matherne, Jesse Selover","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-18T22:01:26Z","title":"The Newton polytope and Lorentzian property of chromatic symmetric functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.07333","kind":"arxiv","version":4},"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":"sha256:90ee856589715a3323b39949b63660c35a54491acf19afbef87a6b57b561c2f9","target":"record","created_at":"2026-07-05T10:11:11Z","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":"4cde2a75a8b0f094c616cb8925a91b3f0174e98e4530f822cca7ea17b19ca310","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-01-18T22:01:26Z","title_canon_sha256":"fd913891f5127385d7f601651bbfad6b62ed6ad1c5e880213397bdc3753e8fe0"},"schema_version":"1.0","source":{"id":"2201.07333","kind":"arxiv","version":4}},"canonical_sha256":"0baa6c627266dd18c6615942da7e95b0ddab368445dfaec4aabf821cfec03dec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0baa6c627266dd18c6615942da7e95b0ddab368445dfaec4aabf821cfec03dec","first_computed_at":"2026-07-05T10:11:11.009028Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:11:11.009028Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kqPU2O4dN/gLCFzoX+5Z3MlD4jvv8V2GuZWtQ/fqv1D5OZHTMXCUDcSA5/mhBygKYBkKZvJIyHCwgFlzDNpNBA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:11:11.009656Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.07333","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:90ee856589715a3323b39949b63660c35a54491acf19afbef87a6b57b561c2f9","sha256:38a88b4eb169272d7088b235f61eeb9086cc451501018ae565f8070134aa75eb"],"state_sha256":"f34578b3c12ba9b59624b1f71bab4199ce0fe4bfae91adda9a142f89c95ddb6b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IZAU6Rwlb7hBidHTwL2Zk73Q381ElByt7LkMmHvYjQruyQ2IwrHDURK6QBabTnFpJwe6v0CUN+KnUYJcXLt9AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T16:15:03.324091Z","bundle_sha256":"72a85797edc96f2fde0a71fde7074f3a491193065692e933b1227c6314847e54"}}