{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:25T74IAA7PB4ILJGHLHITN6PPC","short_pith_number":"pith:25T74IAA","canonical_record":{"source":{"id":"2403.18755","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-03-27T16:54:45Z","cross_cats_sorted":["cs.AI","cs.SI"],"title_canon_sha256":"e1f72e78b1e7e73365b810a9cd684d91dd6a3c8dda6f9a35f58af5bfa8c29491","abstract_canon_sha256":"10825ceb3bc3f7f1470ec0dd207a3619bc61ec93bc1bcf1e93aae6f66709163a"},"schema_version":"1.0"},"canonical_sha256":"d767fe2000fbc3c42d263ace89b7cf78a2eb931e1b0866b1ebf17fb8ef170a8a","source":{"kind":"arxiv","id":"2403.18755","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18755","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18755v2","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18755","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"25T74IAA7PB4","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_16","alias_value":"25T74IAA7PB4ILJG","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_8","alias_value":"25T74IAA","created_at":"2026-07-05T08:01:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:25T74IAA7PB4ILJGHLHITN6PPC","target":"record","payload":{"canonical_record":{"source":{"id":"2403.18755","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-03-27T16:54:45Z","cross_cats_sorted":["cs.AI","cs.SI"],"title_canon_sha256":"e1f72e78b1e7e73365b810a9cd684d91dd6a3c8dda6f9a35f58af5bfa8c29491","abstract_canon_sha256":"10825ceb3bc3f7f1470ec0dd207a3619bc61ec93bc1bcf1e93aae6f66709163a"},"schema_version":"1.0"},"canonical_sha256":"d767fe2000fbc3c42d263ace89b7cf78a2eb931e1b0866b1ebf17fb8ef170a8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:01:39.926810Z","signature_b64":"j0iC3SD62/IYJ5iQeDDW1Ez8cvEIAWNYOv2DA1OeFXI2pPQW3NdcUF9NxXCMDsavtd2NXggrsjyDrzwrlaGlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d767fe2000fbc3c42d263ace89b7cf78a2eb931e1b0866b1ebf17fb8ef170a8a","last_reissued_at":"2026-07-05T08:01:39.926323Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:01:39.926323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.18755","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":"2026-07-05T08:01:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CRB3aZ47xTCIpFFA8WXS8qlKOz6U/w7xFyl9pEhPPtqDcuvUg16uAKRX4oByNU29NEu/xQX+nC79oHWINNQ/CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:30:01.973535Z"},"content_sha256":"a7ddf2b069fe5029fe8c2b44646935985d6b884a5752a054221e41bfec6c2a6d","schema_version":"1.0","event_id":"sha256:a7ddf2b069fe5029fe8c2b44646935985d6b884a5752a054221e41bfec6c2a6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:25T74IAA7PB4ILJGHLHITN6PPC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Many-Objective Evolutionary Influence Maximization: Balancing Spread, Budget, Fairness, and Time","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.SI"],"primary_cat":"cs.NE","authors_text":"Elia Cunegatti, Giovanni Iacca, Leonardo Lucio Custode","submitted_at":"2024-03-27T16:54:45Z","abstract_excerpt":"The Influence Maximization (IM) problem seeks to discover the set of nodes in a graph that can spread the information propagation at most. This problem is known to be NP-hard, and it is usually studied by maximizing the influence (spread) and, optionally, optimizing a second objective, such as minimizing the seed set size or maximizing the influence fairness. However, in many practical scenarios multiple aspects of the IM problem must be optimized at the same time. In this work, we propose a first case study where several IM-specific objective functions, namely budget, fairness, communities, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18755","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/2403.18755/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":"2026-07-05T08:01:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IDRPTGjosmpXhOfNk8iV/Aciap44CV0j3KYjVKBI+T00yngCmOgn3GKPjOaLGSAyrvDkKPP/A3S7Ji0oPCIHBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T21:30:01.974050Z"},"content_sha256":"a4042cf1b5180986badc14d1b5866016ed74880deaf249d8111960df2bef7ef3","schema_version":"1.0","event_id":"sha256:a4042cf1b5180986badc14d1b5866016ed74880deaf249d8111960df2bef7ef3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/25T74IAA7PB4ILJGHLHITN6PPC/bundle.json","state_url":"https://pith.science/pith/25T74IAA7PB4ILJGHLHITN6PPC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/25T74IAA7PB4ILJGHLHITN6PPC/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":"2026-08-18T21:30:01Z","links":{"resolver":"https://pith.science/pith/25T74IAA7PB4ILJGHLHITN6PPC","bundle":"https://pith.science/pith/25T74IAA7PB4ILJGHLHITN6PPC/bundle.json","state":"https://pith.science/pith/25T74IAA7PB4ILJGHLHITN6PPC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/25T74IAA7PB4ILJGHLHITN6PPC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:25T74IAA7PB4ILJGHLHITN6PPC","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":"10825ceb3bc3f7f1470ec0dd207a3619bc61ec93bc1bcf1e93aae6f66709163a","cross_cats_sorted":["cs.AI","cs.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-03-27T16:54:45Z","title_canon_sha256":"e1f72e78b1e7e73365b810a9cd684d91dd6a3c8dda6f9a35f58af5bfa8c29491"},"schema_version":"1.0","source":{"id":"2403.18755","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.18755","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"arxiv_version","alias_value":"2403.18755v2","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.18755","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_12","alias_value":"25T74IAA7PB4","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_16","alias_value":"25T74IAA7PB4ILJG","created_at":"2026-07-05T08:01:39Z"},{"alias_kind":"pith_short_8","alias_value":"25T74IAA","created_at":"2026-07-05T08:01:39Z"}],"graph_snapshots":[{"event_id":"sha256:a4042cf1b5180986badc14d1b5866016ed74880deaf249d8111960df2bef7ef3","target":"graph","created_at":"2026-07-05T08:01:39Z","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/2403.18755/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Influence Maximization (IM) problem seeks to discover the set of nodes in a graph that can spread the information propagation at most. This problem is known to be NP-hard, and it is usually studied by maximizing the influence (spread) and, optionally, optimizing a second objective, such as minimizing the seed set size or maximizing the influence fairness. However, in many practical scenarios multiple aspects of the IM problem must be optimized at the same time. In this work, we propose a first case study where several IM-specific objective functions, namely budget, fairness, communities, a","authors_text":"Elia Cunegatti, Giovanni Iacca, Leonardo Lucio Custode","cross_cats":["cs.AI","cs.SI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-03-27T16:54:45Z","title":"Many-Objective Evolutionary Influence Maximization: Balancing Spread, Budget, Fairness, and Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.18755","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:a7ddf2b069fe5029fe8c2b44646935985d6b884a5752a054221e41bfec6c2a6d","target":"record","created_at":"2026-07-05T08:01:39Z","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":"10825ceb3bc3f7f1470ec0dd207a3619bc61ec93bc1bcf1e93aae6f66709163a","cross_cats_sorted":["cs.AI","cs.SI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.NE","submitted_at":"2024-03-27T16:54:45Z","title_canon_sha256":"e1f72e78b1e7e73365b810a9cd684d91dd6a3c8dda6f9a35f58af5bfa8c29491"},"schema_version":"1.0","source":{"id":"2403.18755","kind":"arxiv","version":2}},"canonical_sha256":"d767fe2000fbc3c42d263ace89b7cf78a2eb931e1b0866b1ebf17fb8ef170a8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d767fe2000fbc3c42d263ace89b7cf78a2eb931e1b0866b1ebf17fb8ef170a8a","first_computed_at":"2026-07-05T08:01:39.926323Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:01:39.926323Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j0iC3SD62/IYJ5iQeDDW1Ez8cvEIAWNYOv2DA1OeFXI2pPQW3NdcUF9NxXCMDsavtd2NXggrsjyDrzwrlaGlBA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:01:39.926810Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.18755","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a7ddf2b069fe5029fe8c2b44646935985d6b884a5752a054221e41bfec6c2a6d","sha256:a4042cf1b5180986badc14d1b5866016ed74880deaf249d8111960df2bef7ef3"],"state_sha256":"bea3be8815b8ec1e89aaefd037402638c2a571a513d086a897b7261cda1ba23f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f/gaPYksioeKQ2ksciAhASMD/DcEDiMyoADoX0E7U90BppncinEsj4zSdPbRCORN7ePjzITKbE7bmVZEaVOXDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T21:30:01.979910Z","bundle_sha256":"4ba5f2a044003b556a1260761c82df8a24e86b390c9514ee4c9be1332d4a28ac"}}