{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:P6N4OLZTIIWZXLTO3YE3THS5SV","short_pith_number":"pith:P6N4OLZT","canonical_record":{"source":{"id":"2506.04275","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-06-04T00:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"c9ef2e0e42060b0ebd56285e0333a4badee47721a48d458f937d794bcf17864e","abstract_canon_sha256":"7815ad01a227f753205d18e4f2c6ebee86a3a2d9fb6acbe00a702f0ac19d982b"},"schema_version":"1.0"},"canonical_sha256":"7f9bc72f33422d9bae6ede09b99e5d95742159412da8bbd275e285cd7c2a30a9","source":{"kind":"arxiv","id":"2506.04275","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04275","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04275v2","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04275","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"P6N4OLZTIIWZ","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_16","alias_value":"P6N4OLZTIIWZXLTO","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_8","alias_value":"P6N4OLZT","created_at":"2026-07-05T11:54:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:P6N4OLZTIIWZXLTO3YE3THS5SV","target":"record","payload":{"canonical_record":{"source":{"id":"2506.04275","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-06-04T00:30:30Z","cross_cats_sorted":[],"title_canon_sha256":"c9ef2e0e42060b0ebd56285e0333a4badee47721a48d458f937d794bcf17864e","abstract_canon_sha256":"7815ad01a227f753205d18e4f2c6ebee86a3a2d9fb6acbe00a702f0ac19d982b"},"schema_version":"1.0"},"canonical_sha256":"7f9bc72f33422d9bae6ede09b99e5d95742159412da8bbd275e285cd7c2a30a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:54:47.922715Z","signature_b64":"Kjn0UHQlR9S5/gqMW0i+kqVhhpt25r7qx8c3i+EEUeplXkrFeFgjChC58sI0htYc17t/s8IlaLWm8qlAwQu9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7f9bc72f33422d9bae6ede09b99e5d95742159412da8bbd275e285cd7c2a30a9","last_reissued_at":"2026-07-05T11:54:47.922149Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:54:47.922149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2506.04275","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":"2026-07-05T11:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tf5QtS8+6jS7Z96RuE84Uho9BPt0PkH+q4LCr++SVO5fBXaOBnVcM27g7/LZrLSFbUDFo/JsLF8bNcNGs3+ZBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:59:29.173017Z"},"content_sha256":"abd67873a2eebac980f7102912802d699ce1135f1fe64ee927946a144144111e","schema_version":"1.0","event_id":"sha256:abd67873a2eebac980f7102912802d699ce1135f1fe64ee927946a144144111e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:P6N4OLZTIIWZXLTO3YE3THS5SV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Self-organization to multicriticality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"nlin.AO","authors_text":"Jari Saram\\\"aki, Silja Sormunen, Thilo gross","submitted_at":"2025-06-04T00:30:30Z","abstract_excerpt":"Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are fundamentally far more versatile than previously recognized, to the extent that a system can self-organize to a new type of phase transition while staying on the verge of another. In this first demonstration of self-organization to multicriticality, we investigate a model of coupled oscillators on a random network, where the network topology evolves in response to t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04275","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/2506.04275/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":"2026-07-05T11:54:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Wx1gqLVTjM6cPIYWEBH/7i2Kn4bhK4Sxe1cpyL6hDrD819PfHQIbdFx6IP619G8bs4qNlmEVF0Vz65xbLZ4nDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T12:59:29.174030Z"},"content_sha256":"9dc6bf2757e9d5ff0bdeded1e082a3b0ebfdab7c06c39c266b24c321de641ffd","schema_version":"1.0","event_id":"sha256:9dc6bf2757e9d5ff0bdeded1e082a3b0ebfdab7c06c39c266b24c321de641ffd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/bundle.json","state_url":"https://pith.science/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/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":"2026-08-08T12:59:29Z","links":{"resolver":"https://pith.science/pith/P6N4OLZTIIWZXLTO3YE3THS5SV","bundle":"https://pith.science/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/bundle.json","state":"https://pith.science/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/P6N4OLZTIIWZXLTO3YE3THS5SV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:P6N4OLZTIIWZXLTO3YE3THS5SV","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":"7815ad01a227f753205d18e4f2c6ebee86a3a2d9fb6acbe00a702f0ac19d982b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-06-04T00:30:30Z","title_canon_sha256":"c9ef2e0e42060b0ebd56285e0333a4badee47721a48d458f937d794bcf17864e"},"schema_version":"1.0","source":{"id":"2506.04275","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.04275","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"2506.04275v2","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.04275","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"P6N4OLZTIIWZ","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_16","alias_value":"P6N4OLZTIIWZXLTO","created_at":"2026-07-05T11:54:47Z"},{"alias_kind":"pith_short_8","alias_value":"P6N4OLZT","created_at":"2026-07-05T11:54:47Z"}],"graph_snapshots":[{"event_id":"sha256:9dc6bf2757e9d5ff0bdeded1e082a3b0ebfdab7c06c39c266b24c321de641ffd","target":"graph","created_at":"2026-07-05T11:54:47Z","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/2506.04275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Self-organized criticality is a well-established phenomenon, where a system dynamically tunes its structure to operate on the verge of a phase transition. Here, we show that the dynamics inside the self-organized critical state are fundamentally far more versatile than previously recognized, to the extent that a system can self-organize to a new type of phase transition while staying on the verge of another. In this first demonstration of self-organization to multicriticality, we investigate a model of coupled oscillators on a random network, where the network topology evolves in response to t","authors_text":"Jari Saram\\\"aki, Silja Sormunen, Thilo gross","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-06-04T00:30:30Z","title":"Self-organization to multicriticality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.04275","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:abd67873a2eebac980f7102912802d699ce1135f1fe64ee927946a144144111e","target":"record","created_at":"2026-07-05T11:54:47Z","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":"7815ad01a227f753205d18e4f2c6ebee86a3a2d9fb6acbe00a702f0ac19d982b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"nlin.AO","submitted_at":"2025-06-04T00:30:30Z","title_canon_sha256":"c9ef2e0e42060b0ebd56285e0333a4badee47721a48d458f937d794bcf17864e"},"schema_version":"1.0","source":{"id":"2506.04275","kind":"arxiv","version":2}},"canonical_sha256":"7f9bc72f33422d9bae6ede09b99e5d95742159412da8bbd275e285cd7c2a30a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f9bc72f33422d9bae6ede09b99e5d95742159412da8bbd275e285cd7c2a30a9","first_computed_at":"2026-07-05T11:54:47.922149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:54:47.922149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kjn0UHQlR9S5/gqMW0i+kqVhhpt25r7qx8c3i+EEUeplXkrFeFgjChC58sI0htYc17t/s8IlaLWm8qlAwQu9CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:54:47.922715Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.04275","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:abd67873a2eebac980f7102912802d699ce1135f1fe64ee927946a144144111e","sha256:9dc6bf2757e9d5ff0bdeded1e082a3b0ebfdab7c06c39c266b24c321de641ffd"],"state_sha256":"db462d24d17443021d3d82e9ab38dc095a64f007f180e0a312701e7b90e4bf85"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+yBoL5VRQTu7GAyIdTustOzU8XAq2UAFOI0x+5ucod9hYWeQ/+pVXEhSt0+IInWrHPC701gVZOLoGL+ruDJzCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T12:59:29.208257Z","bundle_sha256":"962a2cbe7162e4fbdec5a5f286dbaf94e0dd0b6d49b4733a28d5c11e31af51af"}}