{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:VHTPS3IPVRFSKWPUJU3K3LQEEG","short_pith_number":"pith:VHTPS3IP","canonical_record":{"source":{"id":"2402.14012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-02-21T18:51:42Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"cc9ba48b883e8b5f526df11a43e6124d98e9c7fdf03a98c8262d901f598c6197","abstract_canon_sha256":"5dcff98984d1406ada14538840c95cbe319457a3a3449b47864450dc8a05669d"},"schema_version":"1.0"},"canonical_sha256":"a9e6f96d0fac4b2559f44d36adae0421b5bdb1efb1a3f2e44a2d2336d870c887","source":{"kind":"arxiv","id":"2402.14012","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.14012","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"2402.14012v2","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.14012","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"VHTPS3IPVRFS","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_16","alias_value":"VHTPS3IPVRFSKWPU","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_8","alias_value":"VHTPS3IP","created_at":"2026-07-05T08:43:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:VHTPS3IPVRFSKWPUJU3K3LQEEG","target":"record","payload":{"canonical_record":{"source":{"id":"2402.14012","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-02-21T18:51:42Z","cross_cats_sorted":["cs.LG"],"title_canon_sha256":"cc9ba48b883e8b5f526df11a43e6124d98e9c7fdf03a98c8262d901f598c6197","abstract_canon_sha256":"5dcff98984d1406ada14538840c95cbe319457a3a3449b47864450dc8a05669d"},"schema_version":"1.0"},"canonical_sha256":"a9e6f96d0fac4b2559f44d36adae0421b5bdb1efb1a3f2e44a2d2336d870c887","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:43:08.591751Z","signature_b64":"NebLq3ClLWVRiBtltihQQS5KSqFAM1LXVliN2mxo95ED4iq01vRuoMpLEGRpNoOebqxeHZcxiyRmLmDnZMm/DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9e6f96d0fac4b2559f44d36adae0421b5bdb1efb1a3f2e44a2d2336d870c887","last_reissued_at":"2026-07-05T08:43:08.591273Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:43:08.591273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2402.14012","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":"2026-07-05T08:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QL6Lex14U5HB5Lc0kNfPa3DdDonrf1a7ncGlMwPL1GmNptDxayHxsAInFTM+nYNG7H0QznMgRjIipaO4lg2uBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T18:50:45.629025Z"},"content_sha256":"357edaee219fad18e814335aa19293ba75c9f3cb4cabea6d3c37f1ac6cdff98f","schema_version":"1.0","event_id":"sha256:357edaee219fad18e814335aa19293ba75c9f3cb4cabea6d3c37f1ac6cdff98f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:VHTPS3IPVRFSKWPUJU3K3LQEEG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Chasing Convex Functions with Long-term Constraints","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LG"],"primary_cat":"cs.DS","authors_text":"Adam Lechowicz, Adam Wierman, Bo Sun, Mohammad Hajiesmaili, Nicolas Christianson, Noman Bashir, Prashant Shenoy","submitted_at":"2024-02-21T18:51:42Z","abstract_excerpt":"We introduce and study a family of online metric problems with long-term constraints. In these problems, an online player makes decisions $\\mathbf{x}_t$ in a metric space $(X,d)$ to simultaneously minimize their hitting cost $f_t(\\mathbf{x}_t)$ and switching cost as determined by the metric. Over the time horizon $T$, the player must satisfy a long-term demand constraint $\\sum_{t} c(\\mathbf{x}_t) \\geq 1$, where $c(\\mathbf{x}_t)$ denotes the fraction of demand satisfied at time $t$. Such problems can find a wide array of applications to online resource allocation in sustainable energy/computing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.14012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2402.14012/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":"2026-07-05T08:43:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xNmtn+z2pfUk06kSQCVZ9n1oJArsXQiYPKFTaSwBYdZ60CxJN4uW1vzyjqFnAFxR0bOxB8QZbSbyF6fxZbdwDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-11T18:50:45.629407Z"},"content_sha256":"25ac86e3ea608896ba27bcba98cbda0ab76c4f2ba349f1d03d79def195f40c66","schema_version":"1.0","event_id":"sha256:25ac86e3ea608896ba27bcba98cbda0ab76c4f2ba349f1d03d79def195f40c66"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/bundle.json","state_url":"https://pith.science/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/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":"2026-07-11T18:50:45Z","links":{"resolver":"https://pith.science/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG","bundle":"https://pith.science/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/bundle.json","state":"https://pith.science/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VHTPS3IPVRFSKWPUJU3K3LQEEG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:VHTPS3IPVRFSKWPUJU3K3LQEEG","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":"5dcff98984d1406ada14538840c95cbe319457a3a3449b47864450dc8a05669d","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-02-21T18:51:42Z","title_canon_sha256":"cc9ba48b883e8b5f526df11a43e6124d98e9c7fdf03a98c8262d901f598c6197"},"schema_version":"1.0","source":{"id":"2402.14012","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.14012","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"arxiv_version","alias_value":"2402.14012v2","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.14012","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_12","alias_value":"VHTPS3IPVRFS","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_16","alias_value":"VHTPS3IPVRFSKWPU","created_at":"2026-07-05T08:43:08Z"},{"alias_kind":"pith_short_8","alias_value":"VHTPS3IP","created_at":"2026-07-05T08:43:08Z"}],"graph_snapshots":[{"event_id":"sha256:25ac86e3ea608896ba27bcba98cbda0ab76c4f2ba349f1d03d79def195f40c66","target":"graph","created_at":"2026-07-05T08:43:08Z","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/2402.14012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce and study a family of online metric problems with long-term constraints. In these problems, an online player makes decisions $\\mathbf{x}_t$ in a metric space $(X,d)$ to simultaneously minimize their hitting cost $f_t(\\mathbf{x}_t)$ and switching cost as determined by the metric. Over the time horizon $T$, the player must satisfy a long-term demand constraint $\\sum_{t} c(\\mathbf{x}_t) \\geq 1$, where $c(\\mathbf{x}_t)$ denotes the fraction of demand satisfied at time $t$. Such problems can find a wide array of applications to online resource allocation in sustainable energy/computing","authors_text":"Adam Lechowicz, Adam Wierman, Bo Sun, Mohammad Hajiesmaili, Nicolas Christianson, Noman Bashir, Prashant Shenoy","cross_cats":["cs.LG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-02-21T18:51:42Z","title":"Chasing Convex Functions with Long-term Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.14012","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":"sha256:357edaee219fad18e814335aa19293ba75c9f3cb4cabea6d3c37f1ac6cdff98f","target":"record","created_at":"2026-07-05T08:43:08Z","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":"5dcff98984d1406ada14538840c95cbe319457a3a3449b47864450dc8a05669d","cross_cats_sorted":["cs.LG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-02-21T18:51:42Z","title_canon_sha256":"cc9ba48b883e8b5f526df11a43e6124d98e9c7fdf03a98c8262d901f598c6197"},"schema_version":"1.0","source":{"id":"2402.14012","kind":"arxiv","version":2}},"canonical_sha256":"a9e6f96d0fac4b2559f44d36adae0421b5bdb1efb1a3f2e44a2d2336d870c887","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9e6f96d0fac4b2559f44d36adae0421b5bdb1efb1a3f2e44a2d2336d870c887","first_computed_at":"2026-07-05T08:43:08.591273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:43:08.591273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NebLq3ClLWVRiBtltihQQS5KSqFAM1LXVliN2mxo95ED4iq01vRuoMpLEGRpNoOebqxeHZcxiyRmLmDnZMm/DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:43:08.591751Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.14012","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:357edaee219fad18e814335aa19293ba75c9f3cb4cabea6d3c37f1ac6cdff98f","sha256:25ac86e3ea608896ba27bcba98cbda0ab76c4f2ba349f1d03d79def195f40c66"],"state_sha256":"3a939f2ac7895733f42844c89c54c183dd89e72e83cb27ae80796dfd68cc37bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EAD1FsU+FS0ZDnwU/SsP1CKtLiwT3XJkVQZlfIUbr6MmKKTc9cEt8vE7Shi2y292rO61AkTdBztzmej0UiBYBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-11T18:50:45.631922Z","bundle_sha256":"538bdbac3986fa295bae5d29230da29bd05dc68c37c5fe0eba0dd55cecf1fcf0"}}