{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LLUZTCSVMX323V7GFTER43VCVM","short_pith_number":"pith:LLUZTCSV","canonical_record":{"source":{"id":"1405.4629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-05-19T07:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"3f89951463c35e02b15195436ac0fac5d8ec785b9dc6599a4ec49f6f47c6fc1b","abstract_canon_sha256":"643e73a9cce8a0c3ed62b7c2c307a7838686f647024e4a786b65f3f3c62efa58"},"schema_version":"1.0"},"canonical_sha256":"5ae9998a5565f7add7e62cc91e6ea2ab30b7efc64d2f82f8184e4734edf49d24","source":{"kind":"arxiv","id":"1405.4629","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4629","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4629v2","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4629","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"LLUZTCSVMX32","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LLUZTCSVMX323V7G","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LLUZTCSV","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LLUZTCSVMX323V7GFTER43VCVM","target":"record","payload":{"canonical_record":{"source":{"id":"1405.4629","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-05-19T07:41:04Z","cross_cats_sorted":[],"title_canon_sha256":"3f89951463c35e02b15195436ac0fac5d8ec785b9dc6599a4ec49f6f47c6fc1b","abstract_canon_sha256":"643e73a9cce8a0c3ed62b7c2c307a7838686f647024e4a786b65f3f3c62efa58"},"schema_version":"1.0"},"canonical_sha256":"5ae9998a5565f7add7e62cc91e6ea2ab30b7efc64d2f82f8184e4734edf49d24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:10.355604Z","signature_b64":"T3SBUxmsNiEvh9cwXyoHeFsxMLfOFZBCINL3U1PR4YUdSx8wbWHGih7/RxiFSUTdMPoul1Rzu294jNm4gweICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ae9998a5565f7add7e62cc91e6ea2ab30b7efc64d2f82f8184e4734edf49d24","last_reissued_at":"2026-05-18T01:18:10.355131Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:10.355131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.4629","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f+1UQCAQ9Qeak+EjL7z4+z2SpG+da7wsbPD3XmPFFlH9rWUpARm+Fo5hi/HQhOnRCkejvi7xXWTRj5Pw4nbACQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:00:41.922350Z"},"content_sha256":"d2947c559795dccf507de8fc127119a92938d8a6a254e958f5aaabe1ed4e14f9","schema_version":"1.0","event_id":"sha256:d2947c559795dccf507de8fc127119a92938d8a6a254e958f5aaabe1ed4e14f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LLUZTCSVMX323V7GFTER43VCVM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chromatic quasisymmetric functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"John Shareshian, Michelle L. Wachs","submitted_at":"2014-05-19T07:41:04Z","abstract_excerpt":"We introduce a quasisymmetric refinement of Stanley's chromatic symmetric function. We derive refinements of both Gasharov's Schur-basis expansion of the chromatic symmetric function and Chow's expansion in Gessel's basis of fundamental quasisymmetric functions. We present a conjectural refinement of Stanley's power sum basis expansion, which we prove in special cases. We describe connections between the chromatic quasisymmetric function and both the $q$-Eulerian polynomials introduced in our earlier work and, conjecturally, representations of symmetric groups on cohomology of regular semisimp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4629","kind":"arxiv","version":2},"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":"2026-05-18T01:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ay2vWlEZaYFDnJMCmEXowQU0AP2/905CIoc3z09KDDZMksZfPFE522aQbAxlhxsoIQSXAXMRiSPbFtXQJ5xdBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T18:00:41.922702Z"},"content_sha256":"bbc4fb5f50cf3597a095275b822465c2ed3848160f17ba4a07ed03cffa5b3d89","schema_version":"1.0","event_id":"sha256:bbc4fb5f50cf3597a095275b822465c2ed3848160f17ba4a07ed03cffa5b3d89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LLUZTCSVMX323V7GFTER43VCVM/bundle.json","state_url":"https://pith.science/pith/LLUZTCSVMX323V7GFTER43VCVM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LLUZTCSVMX323V7GFTER43VCVM/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":"2026-06-24T18:00:41Z","links":{"resolver":"https://pith.science/pith/LLUZTCSVMX323V7GFTER43VCVM","bundle":"https://pith.science/pith/LLUZTCSVMX323V7GFTER43VCVM/bundle.json","state":"https://pith.science/pith/LLUZTCSVMX323V7GFTER43VCVM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LLUZTCSVMX323V7GFTER43VCVM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LLUZTCSVMX323V7GFTER43VCVM","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":"643e73a9cce8a0c3ed62b7c2c307a7838686f647024e4a786b65f3f3c62efa58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-05-19T07:41:04Z","title_canon_sha256":"3f89951463c35e02b15195436ac0fac5d8ec785b9dc6599a4ec49f6f47c6fc1b"},"schema_version":"1.0","source":{"id":"1405.4629","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.4629","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"1405.4629v2","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.4629","created_at":"2026-05-18T01:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"LLUZTCSVMX32","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LLUZTCSVMX323V7G","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LLUZTCSV","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:bbc4fb5f50cf3597a095275b822465c2ed3848160f17ba4a07ed03cffa5b3d89","target":"graph","created_at":"2026-05-18T01:18:10Z","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 introduce a quasisymmetric refinement of Stanley's chromatic symmetric function. We derive refinements of both Gasharov's Schur-basis expansion of the chromatic symmetric function and Chow's expansion in Gessel's basis of fundamental quasisymmetric functions. We present a conjectural refinement of Stanley's power sum basis expansion, which we prove in special cases. We describe connections between the chromatic quasisymmetric function and both the $q$-Eulerian polynomials introduced in our earlier work and, conjecturally, representations of symmetric groups on cohomology of regular semisimp","authors_text":"John Shareshian, Michelle L. Wachs","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-05-19T07:41:04Z","title":"Chromatic quasisymmetric functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.4629","kind":"arxiv","version":2},"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:d2947c559795dccf507de8fc127119a92938d8a6a254e958f5aaabe1ed4e14f9","target":"record","created_at":"2026-05-18T01:18:10Z","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":"643e73a9cce8a0c3ed62b7c2c307a7838686f647024e4a786b65f3f3c62efa58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-05-19T07:41:04Z","title_canon_sha256":"3f89951463c35e02b15195436ac0fac5d8ec785b9dc6599a4ec49f6f47c6fc1b"},"schema_version":"1.0","source":{"id":"1405.4629","kind":"arxiv","version":2}},"canonical_sha256":"5ae9998a5565f7add7e62cc91e6ea2ab30b7efc64d2f82f8184e4734edf49d24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ae9998a5565f7add7e62cc91e6ea2ab30b7efc64d2f82f8184e4734edf49d24","first_computed_at":"2026-05-18T01:18:10.355131Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:18:10.355131Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T3SBUxmsNiEvh9cwXyoHeFsxMLfOFZBCINL3U1PR4YUdSx8wbWHGih7/RxiFSUTdMPoul1Rzu294jNm4gweICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:18:10.355604Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.4629","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2947c559795dccf507de8fc127119a92938d8a6a254e958f5aaabe1ed4e14f9","sha256:bbc4fb5f50cf3597a095275b822465c2ed3848160f17ba4a07ed03cffa5b3d89"],"state_sha256":"ac9fa3034f70e7d08b5433d3c6e445a6dea80746e2174603c91dd54f1384844b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WjGqaWf0oCGND0R/ZzYTV0ysUvBUtKERaYM/EmmBms7EgkG1WtPrOE5vU8U9SECgbA4YbJdD2ZQhGRm9lZmkBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T18:00:41.924643Z","bundle_sha256":"5822fcd8cd77a2983581edc0e99a562a9ab1004603226476e2c1d7d698bcaf3a"}}