{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6BK5W36CVBUGWRQXJFEMOXQ2HU","short_pith_number":"pith:6BK5W36C","canonical_record":{"source":{"id":"1608.05984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-08-21T19:04:29Z","cross_cats_sorted":["nlin.AO","q-bio.PE"],"title_canon_sha256":"682493b4b62d0b8af2f10d72ddf2f3b9aedc2ab2e76a7070a442d4323b159e8c","abstract_canon_sha256":"5704b68775f4b31262abce211421a4c8db69913a7eaf290a9dc22677fb7ad81a"},"schema_version":"1.0"},"canonical_sha256":"f055db6fc2a8686b46174948c75e1a3d26b6c904ed450a1d97359b4cd9f71cfa","source":{"kind":"arxiv","id":"1608.05984","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05984","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05984v1","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05984","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"pith_short_12","alias_value":"6BK5W36CVBUG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6BK5W36CVBUGWRQX","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6BK5W36C","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6BK5W36CVBUGWRQXJFEMOXQ2HU","target":"record","payload":{"canonical_record":{"source":{"id":"1608.05984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-08-21T19:04:29Z","cross_cats_sorted":["nlin.AO","q-bio.PE"],"title_canon_sha256":"682493b4b62d0b8af2f10d72ddf2f3b9aedc2ab2e76a7070a442d4323b159e8c","abstract_canon_sha256":"5704b68775f4b31262abce211421a4c8db69913a7eaf290a9dc22677fb7ad81a"},"schema_version":"1.0"},"canonical_sha256":"f055db6fc2a8686b46174948c75e1a3d26b6c904ed450a1d97359b4cd9f71cfa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:22.631299Z","signature_b64":"3DbpY7/kNQhm55BBeD4lGR7oLGZyaje85klNjTVokMHRWSYb5NvcGDuWpJhoNKw+R8pXbSAvBWVtIWxE7tNsDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f055db6fc2a8686b46174948c75e1a3d26b6c904ed450a1d97359b4cd9f71cfa","last_reissued_at":"2026-05-18T01:08:22.630717Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:22.630717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1608.05984","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":"2026-05-18T01:08:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ry9Rr2TGVP87K9S+Tsz+tgRak6fL/PiTfFvLJlA2hOM8k3k4TAq+30H73g1hEW5pOfByl7nCeCyTicarNadGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:51:10.179442Z"},"content_sha256":"63e58ba4b1418779610cc7ceed850814fd9196f9d642694aedd339ecb683bca9","schema_version":"1.0","event_id":"sha256:63e58ba4b1418779610cc7ceed850814fd9196f9d642694aedd339ecb683bca9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6BK5W36CVBUGWRQXJFEMOXQ2HU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Which activation function of cooperation describes human behavior?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.AO","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Andrzej Jarynowski","submitted_at":"2016-08-21T19:04:29Z","abstract_excerpt":"Properties of cooperation's probability function in Prisoner`s Dilemma have impact on evolution of game. Basic model defines that probability of cooperation depends linearly, both on the player's altruism and the co-player's reputation. I propose modification of activation function to smooth one (hyperbolic tangent with scaling parameter a, which corresponds to its shape) and observe three phases for different range of a. (1) For small a, strategies seem to randomly change in time and situation of mixed choices (one cooperates and second defects) dominate. (2) For medium a, players choose only"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05984","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":"2026-05-18T01:08:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mfpnSTBdwPSoVbXF4fRvIYuBuYWVFwTa/lUWk6HpjgKpkZwaZaxs6oheVnrKtKRRWY4CB8YEDcv7BOqJPjItDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T16:51:10.179803Z"},"content_sha256":"baae6a6faa805444a9a82ab7b8bcaa453c03c97ab027426324dac170f38d4fd6","schema_version":"1.0","event_id":"sha256:baae6a6faa805444a9a82ab7b8bcaa453c03c97ab027426324dac170f38d4fd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/bundle.json","state_url":"https://pith.science/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/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":"2026-06-23T16:51:10Z","links":{"resolver":"https://pith.science/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU","bundle":"https://pith.science/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/bundle.json","state":"https://pith.science/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6BK5W36CVBUGWRQXJFEMOXQ2HU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6BK5W36CVBUGWRQXJFEMOXQ2HU","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":"5704b68775f4b31262abce211421a4c8db69913a7eaf290a9dc22677fb7ad81a","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-08-21T19:04:29Z","title_canon_sha256":"682493b4b62d0b8af2f10d72ddf2f3b9aedc2ab2e76a7070a442d4323b159e8c"},"schema_version":"1.0","source":{"id":"1608.05984","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1608.05984","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"arxiv_version","alias_value":"1608.05984v1","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.05984","created_at":"2026-05-18T01:08:22Z"},{"alias_kind":"pith_short_12","alias_value":"6BK5W36CVBUG","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6BK5W36CVBUGWRQX","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6BK5W36C","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:baae6a6faa805444a9a82ab7b8bcaa453c03c97ab027426324dac170f38d4fd6","target":"graph","created_at":"2026-05-18T01:08:22Z","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":"Properties of cooperation's probability function in Prisoner`s Dilemma have impact on evolution of game. Basic model defines that probability of cooperation depends linearly, both on the player's altruism and the co-player's reputation. I propose modification of activation function to smooth one (hyperbolic tangent with scaling parameter a, which corresponds to its shape) and observe three phases for different range of a. (1) For small a, strategies seem to randomly change in time and situation of mixed choices (one cooperates and second defects) dominate. (2) For medium a, players choose only","authors_text":"Andrzej Jarynowski","cross_cats":["nlin.AO","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-08-21T19:04:29Z","title":"Which activation function of cooperation describes human behavior?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.05984","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":"sha256:63e58ba4b1418779610cc7ceed850814fd9196f9d642694aedd339ecb683bca9","target":"record","created_at":"2026-05-18T01:08:22Z","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":"5704b68775f4b31262abce211421a4c8db69913a7eaf290a9dc22677fb7ad81a","cross_cats_sorted":["nlin.AO","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-08-21T19:04:29Z","title_canon_sha256":"682493b4b62d0b8af2f10d72ddf2f3b9aedc2ab2e76a7070a442d4323b159e8c"},"schema_version":"1.0","source":{"id":"1608.05984","kind":"arxiv","version":1}},"canonical_sha256":"f055db6fc2a8686b46174948c75e1a3d26b6c904ed450a1d97359b4cd9f71cfa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f055db6fc2a8686b46174948c75e1a3d26b6c904ed450a1d97359b4cd9f71cfa","first_computed_at":"2026-05-18T01:08:22.630717Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:22.630717Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3DbpY7/kNQhm55BBeD4lGR7oLGZyaje85klNjTVokMHRWSYb5NvcGDuWpJhoNKw+R8pXbSAvBWVtIWxE7tNsDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:22.631299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1608.05984","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63e58ba4b1418779610cc7ceed850814fd9196f9d642694aedd339ecb683bca9","sha256:baae6a6faa805444a9a82ab7b8bcaa453c03c97ab027426324dac170f38d4fd6"],"state_sha256":"13cf15b02d379a0206fa05d68295560e01ed29e74bc00a3dd5050821a7d6c75e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xSzkNY11Mcn9VdpEo+fIV+DQOEiIhQfFenaRbBvAnDcD+lQmDf5H6oZmCTKZ++Rz+2tgRztPkaZX4RWhnrACCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T16:51:10.181818Z","bundle_sha256":"725afdb5ed524c9336707f0d3e0060e445419efe4757ea8e04860fae1e837f66"}}