{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:3SRHZFSA6ICU3RGTWFJ6QIZE7O","short_pith_number":"pith:3SRHZFSA","canonical_record":{"source":{"id":"2105.05308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-05-11T19:09:59Z","cross_cats_sorted":["cs.SY","eess.SY","math.OC"],"title_canon_sha256":"d7964eabc70cd3c5fc7d376e7339613d862cb7e8be7ba7665a772adcabe5b439","abstract_canon_sha256":"8695863a28fe58bf3539c13273a68a71dffb51fb96d99ac067af3ac31dc1b0c1"},"schema_version":"1.0"},"canonical_sha256":"dca27c9640f2054dc4d3b153e82324fbb774cb46608ca1f6c4365c8bf95aa7ae","source":{"kind":"arxiv","id":"2105.05308","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05308","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05308v3","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05308","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"3SRHZFSA6ICU","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_16","alias_value":"3SRHZFSA6ICU3RGT","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_8","alias_value":"3SRHZFSA","created_at":"2026-07-05T05:02:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:3SRHZFSA6ICU3RGTWFJ6QIZE7O","target":"record","payload":{"canonical_record":{"source":{"id":"2105.05308","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-05-11T19:09:59Z","cross_cats_sorted":["cs.SY","eess.SY","math.OC"],"title_canon_sha256":"d7964eabc70cd3c5fc7d376e7339613d862cb7e8be7ba7665a772adcabe5b439","abstract_canon_sha256":"8695863a28fe58bf3539c13273a68a71dffb51fb96d99ac067af3ac31dc1b0c1"},"schema_version":"1.0"},"canonical_sha256":"dca27c9640f2054dc4d3b153e82324fbb774cb46608ca1f6c4365c8bf95aa7ae","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:02:08.867177Z","signature_b64":"Fa53h9sg1OB/GjkIoQ9zAa0+FsWXRJV+hi27Fqghsatbps6tFpZfu5V4sUt5n4mOa9FBlVhWbtfa69ZecRJ8AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dca27c9640f2054dc4d3b153e82324fbb774cb46608ca1f6c4365c8bf95aa7ae","last_reissued_at":"2026-07-05T05:02:08.866707Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:02:08.866707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.05308","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lht5A3dKGtOToAZwCND/pKnNL1f0wVjqqgXRamFfl8jZ5KdrhxcUS4QiypFA9F+EHDt+cZW6ZZ5Qevq/4E2HCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T09:05:52.934616Z"},"content_sha256":"8eed6155695ec51858abb8f4ddca9ca21852858dabd69bb8b2444bbaaafe56dc","schema_version":"1.0","event_id":"sha256:8eed6155695ec51858abb8f4ddca9ca21852858dabd69bb8b2444bbaaafe56dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:3SRHZFSA6ICU3RGTWFJ6QIZE7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sequential Fair Allocation: Achieving the Optimal Envy-Efficiency Tradeoff Curve","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","eess.SY","math.OC"],"primary_cat":"cs.GT","authors_text":"Christina Lee Yu, Gauri Jain, Sean R. Sinclair, Siddhartha Banerjee","submitted_at":"2021-05-11T19:09:59Z","abstract_excerpt":"We consider the problem of dividing limited resources to individuals arriving over $T$ rounds. Each round has a random number of individuals arrive, and individuals can be characterized by their type (i.e. preferences over the different resources). A standard notion of 'fairness' in this setting is that an allocation simultaneously satisfy envy-freeness and efficiency. The former is an individual guarantee, requiring that each agent prefers their own allocation over the allocation of any other; in contrast, efficiency is a global property, requiring that the allocations clear the available res"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05308","kind":"arxiv","version":3},"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/2105.05308/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":"2026-07-05T05:02:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a7KN6yHFTA547GQAI2SIoOw7at8MNT1xMUjB3C+32b9EJOMrOP2Juok9doMnB6w0KEgz4uEVSjhHlsbhfKzQBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T09:05:52.935528Z"},"content_sha256":"9d8c2f94f866ab0db84092b1a673fad2b0b128c3b966395bf2071527b476cc4c","schema_version":"1.0","event_id":"sha256:9d8c2f94f866ab0db84092b1a673fad2b0b128c3b966395bf2071527b476cc4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/bundle.json","state_url":"https://pith.science/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/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":"2026-08-09T09:05:52Z","links":{"resolver":"https://pith.science/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O","bundle":"https://pith.science/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/bundle.json","state":"https://pith.science/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3SRHZFSA6ICU3RGTWFJ6QIZE7O/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3SRHZFSA6ICU3RGTWFJ6QIZE7O","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":"8695863a28fe58bf3539c13273a68a71dffb51fb96d99ac067af3ac31dc1b0c1","cross_cats_sorted":["cs.SY","eess.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-05-11T19:09:59Z","title_canon_sha256":"d7964eabc70cd3c5fc7d376e7339613d862cb7e8be7ba7665a772adcabe5b439"},"schema_version":"1.0","source":{"id":"2105.05308","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.05308","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"arxiv_version","alias_value":"2105.05308v3","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.05308","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_12","alias_value":"3SRHZFSA6ICU","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_16","alias_value":"3SRHZFSA6ICU3RGT","created_at":"2026-07-05T05:02:08Z"},{"alias_kind":"pith_short_8","alias_value":"3SRHZFSA","created_at":"2026-07-05T05:02:08Z"}],"graph_snapshots":[{"event_id":"sha256:9d8c2f94f866ab0db84092b1a673fad2b0b128c3b966395bf2071527b476cc4c","target":"graph","created_at":"2026-07-05T05:02:08Z","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/2105.05308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of dividing limited resources to individuals arriving over $T$ rounds. Each round has a random number of individuals arrive, and individuals can be characterized by their type (i.e. preferences over the different resources). A standard notion of 'fairness' in this setting is that an allocation simultaneously satisfy envy-freeness and efficiency. The former is an individual guarantee, requiring that each agent prefers their own allocation over the allocation of any other; in contrast, efficiency is a global property, requiring that the allocations clear the available res","authors_text":"Christina Lee Yu, Gauri Jain, Sean R. Sinclair, Siddhartha Banerjee","cross_cats":["cs.SY","eess.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-05-11T19:09:59Z","title":"Sequential Fair Allocation: Achieving the Optimal Envy-Efficiency Tradeoff Curve"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.05308","kind":"arxiv","version":3},"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":"sha256:8eed6155695ec51858abb8f4ddca9ca21852858dabd69bb8b2444bbaaafe56dc","target":"record","created_at":"2026-07-05T05:02:08Z","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":"8695863a28fe58bf3539c13273a68a71dffb51fb96d99ac067af3ac31dc1b0c1","cross_cats_sorted":["cs.SY","eess.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2021-05-11T19:09:59Z","title_canon_sha256":"d7964eabc70cd3c5fc7d376e7339613d862cb7e8be7ba7665a772adcabe5b439"},"schema_version":"1.0","source":{"id":"2105.05308","kind":"arxiv","version":3}},"canonical_sha256":"dca27c9640f2054dc4d3b153e82324fbb774cb46608ca1f6c4365c8bf95aa7ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dca27c9640f2054dc4d3b153e82324fbb774cb46608ca1f6c4365c8bf95aa7ae","first_computed_at":"2026-07-05T05:02:08.866707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:02:08.866707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Fa53h9sg1OB/GjkIoQ9zAa0+FsWXRJV+hi27Fqghsatbps6tFpZfu5V4sUt5n4mOa9FBlVhWbtfa69ZecRJ8AA==","signature_status":"signed_v1","signed_at":"2026-07-05T05:02:08.867177Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.05308","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8eed6155695ec51858abb8f4ddca9ca21852858dabd69bb8b2444bbaaafe56dc","sha256:9d8c2f94f866ab0db84092b1a673fad2b0b128c3b966395bf2071527b476cc4c"],"state_sha256":"1774debf533a678b6313b6c7e0f2df724c844397b9c1d15a9918ed8d355d85e6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k9ofh3SsHh+ITBq5+Txu6IL126o0knCDQd/Xu4KgjaLWYzxmAwu2GT4+1HfNWM2B/MaE04De/vat8E8bR8auCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T09:05:52.940411Z","bundle_sha256":"b949fefe5c81ac2b53bdae821cec2b19c28e5c476d21e9c06fbda21b25cd660f"}}