{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:4NA47RGN6W7B4K5WGKBWIS5ZMH","short_pith_number":"pith:4NA47RGN","canonical_record":{"source":{"id":"1601.07965","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-01-29T02:08:04Z","cross_cats_sorted":[],"title_canon_sha256":"6e760156f9b8d65e6b1ba1ad1a1d004f18705841472ba2bc5e3f3253c43790ea","abstract_canon_sha256":"bda42e50f16e54bfc7d8542b84ce18b2aa960858d591a431e5cb4638df6cb2bb"},"schema_version":"1.0"},"canonical_sha256":"e341cfc4cdf5be1e2bb63283644bb961d63786c7804c3a9de6ce25d1dd462b05","source":{"kind":"arxiv","id":"1601.07965","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07965","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07965v3","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07965","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"4NA47RGN6W7B","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4NA47RGN6W7B4K5W","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4NA47RGN","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:4NA47RGN6W7B4K5WGKBWIS5ZMH","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07965","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-01-29T02:08:04Z","cross_cats_sorted":[],"title_canon_sha256":"6e760156f9b8d65e6b1ba1ad1a1d004f18705841472ba2bc5e3f3253c43790ea","abstract_canon_sha256":"bda42e50f16e54bfc7d8542b84ce18b2aa960858d591a431e5cb4638df6cb2bb"},"schema_version":"1.0"},"canonical_sha256":"e341cfc4cdf5be1e2bb63283644bb961d63786c7804c3a9de6ce25d1dd462b05","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:53.055782Z","signature_b64":"/FRPVmTHZ6/Dn/PLtNga5zn5geauk4nc9YLghFx1CSbrgbgS48NeGR32ElPZOXZHs1X0y2eVqEBlJfM4n+cXDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e341cfc4cdf5be1e2bb63283644bb961d63786c7804c3a9de6ce25d1dd462b05","last_reissued_at":"2026-05-18T01:19:53.055215Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:53.055215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07965","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":"2026-05-18T01:19:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cO288RS5ohLYEvyBf3ZyVRpfmENrOMz1IR3dAB/PMj9lWNv+HanQdZOP9uhMR2zinlEG7mkYU2xoUa5nFzcRCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:34:32.007420Z"},"content_sha256":"9b1dfb817b7e5e6ad754eaaf6fc436d00793510bb962ec99efa0320150c48693","schema_version":"1.0","event_id":"sha256:9b1dfb817b7e5e6ad754eaaf6fc436d00793510bb962ec99efa0320150c48693"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:4NA47RGN6W7B4K5WGKBWIS5ZMH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards Decision Support in Reciprocation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Catholijn Jonker, Gleb Polevoy, Mathijs de Weerdt","submitted_at":"2016-01-29T02:08:04Z","abstract_excerpt":"People often interact repeatedly: with relatives, through file sharing, in politics, etc. Many such interactions are reciprocal: reacting to the actions of the other. In order to facilitate decisions regarding reciprocal interactions, we analyze the development of reciprocation over time. To this end, we propose a model for such interactions that is simple enough to enable formal analysis, but is sufficient to predict how such interactions will evolve. Inspired by existing models of international interactions and arguments between spouses, we suggest a model with two reciprocating attitudes wh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07965","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":""},"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":"2026-05-18T01:19:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyptV5W/wusIp2UeqcY0CIEGqSYP8Puy1chslYqtk1oo/bbYO/RttNwrIkfA7f3k8Nd6ftG8q5qTAycVU1XdAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T10:34:32.007775Z"},"content_sha256":"c0827f0315fdf83147986ec76d9380f6f16617a9a9e4a9e1dbd8910f9bbed495","schema_version":"1.0","event_id":"sha256:c0827f0315fdf83147986ec76d9380f6f16617a9a9e4a9e1dbd8910f9bbed495"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/bundle.json","state_url":"https://pith.science/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/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":"2026-06-23T10:34:32Z","links":{"resolver":"https://pith.science/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH","bundle":"https://pith.science/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/bundle.json","state":"https://pith.science/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NA47RGN6W7B4K5WGKBWIS5ZMH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:4NA47RGN6W7B4K5WGKBWIS5ZMH","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":"bda42e50f16e54bfc7d8542b84ce18b2aa960858d591a431e5cb4638df6cb2bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-01-29T02:08:04Z","title_canon_sha256":"6e760156f9b8d65e6b1ba1ad1a1d004f18705841472ba2bc5e3f3253c43790ea"},"schema_version":"1.0","source":{"id":"1601.07965","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07965","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07965v3","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07965","created_at":"2026-05-18T01:19:53Z"},{"alias_kind":"pith_short_12","alias_value":"4NA47RGN6W7B","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"4NA47RGN6W7B4K5W","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"4NA47RGN","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:c0827f0315fdf83147986ec76d9380f6f16617a9a9e4a9e1dbd8910f9bbed495","target":"graph","created_at":"2026-05-18T01:19:53Z","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":"People often interact repeatedly: with relatives, through file sharing, in politics, etc. Many such interactions are reciprocal: reacting to the actions of the other. In order to facilitate decisions regarding reciprocal interactions, we analyze the development of reciprocation over time. To this end, we propose a model for such interactions that is simple enough to enable formal analysis, but is sufficient to predict how such interactions will evolve. Inspired by existing models of international interactions and arguments between spouses, we suggest a model with two reciprocating attitudes wh","authors_text":"Catholijn Jonker, Gleb Polevoy, Mathijs de Weerdt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-01-29T02:08:04Z","title":"Towards Decision Support in Reciprocation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07965","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":"sha256:9b1dfb817b7e5e6ad754eaaf6fc436d00793510bb962ec99efa0320150c48693","target":"record","created_at":"2026-05-18T01:19:53Z","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":"bda42e50f16e54bfc7d8542b84ce18b2aa960858d591a431e5cb4638df6cb2bb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-01-29T02:08:04Z","title_canon_sha256":"6e760156f9b8d65e6b1ba1ad1a1d004f18705841472ba2bc5e3f3253c43790ea"},"schema_version":"1.0","source":{"id":"1601.07965","kind":"arxiv","version":3}},"canonical_sha256":"e341cfc4cdf5be1e2bb63283644bb961d63786c7804c3a9de6ce25d1dd462b05","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e341cfc4cdf5be1e2bb63283644bb961d63786c7804c3a9de6ce25d1dd462b05","first_computed_at":"2026-05-18T01:19:53.055215Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:53.055215Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/FRPVmTHZ6/Dn/PLtNga5zn5geauk4nc9YLghFx1CSbrgbgS48NeGR32ElPZOXZHs1X0y2eVqEBlJfM4n+cXDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:53.055782Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07965","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b1dfb817b7e5e6ad754eaaf6fc436d00793510bb962ec99efa0320150c48693","sha256:c0827f0315fdf83147986ec76d9380f6f16617a9a9e4a9e1dbd8910f9bbed495"],"state_sha256":"0a967f20bf3ab3c8cfa44dc1ff561da78de6aaf0fb6ffc5048c2c304a1833dc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KvwjKHo9RZ2GBdG8eq95i/hVWx3nyM+qzhmQ0iSgLpRivP3VKh2YrFUtNqiBhuJoe5M3pKE9jAn2apIZkBiNDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T10:34:32.009662Z","bundle_sha256":"69130aaff3eef7db9b7a97e354268977178f5299d09cc437d682001eada30c2d"}}