{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:IZBCPAEKDYRRBFXQ4N3YHQ6TRL","short_pith_number":"pith:IZBCPAEK","canonical_record":{"source":{"id":"1504.03968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-15T16:57:51Z","cross_cats_sorted":[],"title_canon_sha256":"d45b26648e1bbf6bfd75d15a7e4d539dab7425e1f5e4453d4f26a9d6ec412515","abstract_canon_sha256":"ec747e07562b24e53357d0f15f697208009e3177687e3b34b846bef885075f9d"},"schema_version":"1.0"},"canonical_sha256":"464227808a1e231096f0e37783c3d38ae734625a4d34b592a1378b6f2d507482","source":{"kind":"arxiv","id":"1504.03968","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03968","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03968v1","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03968","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"IZBCPAEKDYRR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZBCPAEKDYRRBFXQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZBCPAEK","created_at":"2026-05-18T12:29:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:IZBCPAEKDYRRBFXQ4N3YHQ6TRL","target":"record","payload":{"canonical_record":{"source":{"id":"1504.03968","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-15T16:57:51Z","cross_cats_sorted":[],"title_canon_sha256":"d45b26648e1bbf6bfd75d15a7e4d539dab7425e1f5e4453d4f26a9d6ec412515","abstract_canon_sha256":"ec747e07562b24e53357d0f15f697208009e3177687e3b34b846bef885075f9d"},"schema_version":"1.0"},"canonical_sha256":"464227808a1e231096f0e37783c3d38ae734625a4d34b592a1378b6f2d507482","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:18:41.545128Z","signature_b64":"1m4Xx9bDLa0y9hp+W0kE7FNx/DwZfh3zMzZyVIIhSZcencdEMu75aeZlKs2vh/qPgJER7MRE/xqMSVm5GoceCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"464227808a1e231096f0e37783c3d38ae734625a4d34b592a1378b6f2d507482","last_reissued_at":"2026-05-18T02:18:41.544362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:18:41.544362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.03968","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":"2026-05-18T02:18:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BM8HFVEox+VYaz3/t9pf2/NqtFDEC16jnD4Ibj6ElpGjj9fLiYqbUX/ccJg9SBw6m5FSSLzfVKNsnNXjf1YPDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:16:25.182279Z"},"content_sha256":"4b56efafef7422bf3c977f30d729aa7da2553923438f7c108efe73147190ae0d","schema_version":"1.0","event_id":"sha256:4b56efafef7422bf3c977f30d729aa7da2553923438f7c108efe73147190ae0d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:IZBCPAEKDYRRBFXQ4N3YHQ6TRL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Christoffel functions with power type weights","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Tivadar Danka, Vilmos Totik","submitted_at":"2015-04-15T16:57:51Z","abstract_excerpt":"Precise asymptotics for Christoffel functions are established for power type weights on unions of Jordan curves and arcs. The asymptotics involve the equilibrium measure of the support of the measure. The result at the endpoints of arc components is obtained from the corresponding asymptotics for internal points with respect to a different power weight. On curve components the asymptotic formula is proved via a sharp form of Hilbert's lemniscate theorem while taking polynomial inverse images. The situation is completely different on the arc components, where the local asymptotics is obtained v"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03968","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":"2026-05-18T02:18:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aLDsg00F/AVjV4wgJW+EMU4xVbtZ4IIAmkqOpAl8yAe7Lwy+e5EwY6VpNRDdWhDKXSKTy3OvbnD3N4Fw0KCWAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:16:25.182685Z"},"content_sha256":"762d37b9d4e24bf6e33f0d9f620238bf4d76ba3991df0992f77badc900ed486e","schema_version":"1.0","event_id":"sha256:762d37b9d4e24bf6e33f0d9f620238bf4d76ba3991df0992f77badc900ed486e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/bundle.json","state_url":"https://pith.science/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/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":"2026-06-02T05:16:25Z","links":{"resolver":"https://pith.science/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL","bundle":"https://pith.science/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/bundle.json","state":"https://pith.science/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZBCPAEKDYRRBFXQ4N3YHQ6TRL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:IZBCPAEKDYRRBFXQ4N3YHQ6TRL","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":"ec747e07562b24e53357d0f15f697208009e3177687e3b34b846bef885075f9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-15T16:57:51Z","title_canon_sha256":"d45b26648e1bbf6bfd75d15a7e4d539dab7425e1f5e4453d4f26a9d6ec412515"},"schema_version":"1.0","source":{"id":"1504.03968","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03968","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03968v1","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03968","created_at":"2026-05-18T02:18:41Z"},{"alias_kind":"pith_short_12","alias_value":"IZBCPAEKDYRR","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZBCPAEKDYRRBFXQ","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZBCPAEK","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:762d37b9d4e24bf6e33f0d9f620238bf4d76ba3991df0992f77badc900ed486e","target":"graph","created_at":"2026-05-18T02:18:41Z","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":"Precise asymptotics for Christoffel functions are established for power type weights on unions of Jordan curves and arcs. The asymptotics involve the equilibrium measure of the support of the measure. The result at the endpoints of arc components is obtained from the corresponding asymptotics for internal points with respect to a different power weight. On curve components the asymptotic formula is proved via a sharp form of Hilbert's lemniscate theorem while taking polynomial inverse images. The situation is completely different on the arc components, where the local asymptotics is obtained v","authors_text":"Tivadar Danka, Vilmos Totik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-15T16:57:51Z","title":"Christoffel functions with power type weights"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03968","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":"sha256:4b56efafef7422bf3c977f30d729aa7da2553923438f7c108efe73147190ae0d","target":"record","created_at":"2026-05-18T02:18:41Z","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":"ec747e07562b24e53357d0f15f697208009e3177687e3b34b846bef885075f9d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-04-15T16:57:51Z","title_canon_sha256":"d45b26648e1bbf6bfd75d15a7e4d539dab7425e1f5e4453d4f26a9d6ec412515"},"schema_version":"1.0","source":{"id":"1504.03968","kind":"arxiv","version":1}},"canonical_sha256":"464227808a1e231096f0e37783c3d38ae734625a4d34b592a1378b6f2d507482","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"464227808a1e231096f0e37783c3d38ae734625a4d34b592a1378b6f2d507482","first_computed_at":"2026-05-18T02:18:41.544362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:41.544362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1m4Xx9bDLa0y9hp+W0kE7FNx/DwZfh3zMzZyVIIhSZcencdEMu75aeZlKs2vh/qPgJER7MRE/xqMSVm5GoceCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:41.545128Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03968","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b56efafef7422bf3c977f30d729aa7da2553923438f7c108efe73147190ae0d","sha256:762d37b9d4e24bf6e33f0d9f620238bf4d76ba3991df0992f77badc900ed486e"],"state_sha256":"e0152c0ee3aa2e923b96e03b42f248be8cdcbac3a859916076fa6f258aeb081a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v3yMoSQkOxVTezE/1GdeXeFJIBWrCUV9h+nuXfLNwx6QmDQlRfmXUJW9MhE/gJWQPJfSYGR1ZSbZZlb0meA3Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:16:25.184842Z","bundle_sha256":"5556591877e52ae65aafabe0889a2b07d8705c2563f8c18b18a6fd97cc4e0a1f"}}