{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:SA7CQPEBWGMNNNWEZBVUMAC4I4","short_pith_number":"pith:SA7CQPEB","canonical_record":{"source":{"id":"2009.14593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-30T12:15:24Z","cross_cats_sorted":["cs.SI","physics.soc-ph","stat.ML"],"title_canon_sha256":"83ddcd362e6afeab2b33cdef56587a7477f000361297a1dcd6834c17883675f5","abstract_canon_sha256":"f2a987aaef699b0181d98880ef80155d27e2d0fa7839209e8140b95bfd2caba0"},"schema_version":"1.0"},"canonical_sha256":"903e283c81b198d6b6c4c86b46005c47014adbe8b4f1eea3af571af80c27438e","source":{"kind":"arxiv","id":"2009.14593","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.14593","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"arxiv_version","alias_value":"2009.14593v1","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.14593","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_12","alias_value":"SA7CQPEBWGMN","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_16","alias_value":"SA7CQPEBWGMNNNWE","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_8","alias_value":"SA7CQPEB","created_at":"2026-07-05T01:39:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:SA7CQPEBWGMNNNWEZBVUMAC4I4","target":"record","payload":{"canonical_record":{"source":{"id":"2009.14593","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-30T12:15:24Z","cross_cats_sorted":["cs.SI","physics.soc-ph","stat.ML"],"title_canon_sha256":"83ddcd362e6afeab2b33cdef56587a7477f000361297a1dcd6834c17883675f5","abstract_canon_sha256":"f2a987aaef699b0181d98880ef80155d27e2d0fa7839209e8140b95bfd2caba0"},"schema_version":"1.0"},"canonical_sha256":"903e283c81b198d6b6c4c86b46005c47014adbe8b4f1eea3af571af80c27438e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:39:21.106859Z","signature_b64":"5gG7vUvyo/K54Chroh/4QPEnHeqAVr/ckSwTfDHvvE8M+9gu2ZEW1O9jsZTu8k5pAziDBPMQPxGXz+Pu/c4UDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"903e283c81b198d6b6c4c86b46005c47014adbe8b4f1eea3af571af80c27438e","last_reissued_at":"2026-07-05T01:39:21.106488Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:39:21.106488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2009.14593","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":"2026-07-05T01:39:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KWylrG6bkgSXb/ED1PjDo4c+52N7j8fXTcRopsK+IMRKRwwnIc8FqXBmMZMagkGFewn8QWoAyFWldc+Eda+eCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T02:39:07.281695Z"},"content_sha256":"b95de3ad0cd918f0943f5c1519d2541f83b848aa8284b100f72066cd42142abe","schema_version":"1.0","event_id":"sha256:b95de3ad0cd918f0943f5c1519d2541f83b848aa8284b100f72066cd42142abe"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:SA7CQPEBWGMNNNWEZBVUMAC4I4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Role of Isomorphism Classes in Multi-Relational Datasets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","physics.soc-ph","stat.ML"],"primary_cat":"cs.LG","authors_text":"Ben Day, Cristian Bodnar, Matthew Wales, Pietro Li\\`o, Vijja Wichitwechkarn","submitted_at":"2020-09-30T12:15:24Z","abstract_excerpt":"Multi-interaction systems abound in nature, from colloidal suspensions to gene regulatory circuits. These systems can produce complex dynamics and graph neural networks have been proposed as a method to extract underlying interactions and predict how systems will evolve. The current training and evaluation procedures for these models through the use of synthetic multi-relational datasets however are agnostic to interaction network isomorphism classes, which produce identical dynamics up to initial conditions. We extensively analyse how isomorphism class awareness affects these models, focusing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.14593","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.14593/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":"2026-07-05T01:39:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+4d7PlfADWnT/uP9M1W/kF+L5I/lWL7gpBZDdF8NeYHUxDWnzblX2PQfwMqJqVhwNd4hA0qtlRbsZ1V77/SDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-24T02:39:07.282203Z"},"content_sha256":"590987dc86a17782738766b2f598e8f3bc4d85089d1324cbc94b1d3845cae5ba","schema_version":"1.0","event_id":"sha256:590987dc86a17782738766b2f598e8f3bc4d85089d1324cbc94b1d3845cae5ba"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/bundle.json","state_url":"https://pith.science/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/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":"2026-08-24T02:39:07Z","links":{"resolver":"https://pith.science/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4","bundle":"https://pith.science/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/bundle.json","state":"https://pith.science/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SA7CQPEBWGMNNNWEZBVUMAC4I4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:SA7CQPEBWGMNNNWEZBVUMAC4I4","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":"f2a987aaef699b0181d98880ef80155d27e2d0fa7839209e8140b95bfd2caba0","cross_cats_sorted":["cs.SI","physics.soc-ph","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-30T12:15:24Z","title_canon_sha256":"83ddcd362e6afeab2b33cdef56587a7477f000361297a1dcd6834c17883675f5"},"schema_version":"1.0","source":{"id":"2009.14593","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2009.14593","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"arxiv_version","alias_value":"2009.14593v1","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.14593","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_12","alias_value":"SA7CQPEBWGMN","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_16","alias_value":"SA7CQPEBWGMNNNWE","created_at":"2026-07-05T01:39:21Z"},{"alias_kind":"pith_short_8","alias_value":"SA7CQPEB","created_at":"2026-07-05T01:39:21Z"}],"graph_snapshots":[{"event_id":"sha256:590987dc86a17782738766b2f598e8f3bc4d85089d1324cbc94b1d3845cae5ba","target":"graph","created_at":"2026-07-05T01:39:21Z","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/2009.14593/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Multi-interaction systems abound in nature, from colloidal suspensions to gene regulatory circuits. These systems can produce complex dynamics and graph neural networks have been proposed as a method to extract underlying interactions and predict how systems will evolve. The current training and evaluation procedures for these models through the use of synthetic multi-relational datasets however are agnostic to interaction network isomorphism classes, which produce identical dynamics up to initial conditions. We extensively analyse how isomorphism class awareness affects these models, focusing","authors_text":"Ben Day, Cristian Bodnar, Matthew Wales, Pietro Li\\`o, Vijja Wichitwechkarn","cross_cats":["cs.SI","physics.soc-ph","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-30T12:15:24Z","title":"The Role of Isomorphism Classes in Multi-Relational Datasets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.14593","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:b95de3ad0cd918f0943f5c1519d2541f83b848aa8284b100f72066cd42142abe","target":"record","created_at":"2026-07-05T01:39:21Z","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":"f2a987aaef699b0181d98880ef80155d27e2d0fa7839209e8140b95bfd2caba0","cross_cats_sorted":["cs.SI","physics.soc-ph","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2020-09-30T12:15:24Z","title_canon_sha256":"83ddcd362e6afeab2b33cdef56587a7477f000361297a1dcd6834c17883675f5"},"schema_version":"1.0","source":{"id":"2009.14593","kind":"arxiv","version":1}},"canonical_sha256":"903e283c81b198d6b6c4c86b46005c47014adbe8b4f1eea3af571af80c27438e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"903e283c81b198d6b6c4c86b46005c47014adbe8b4f1eea3af571af80c27438e","first_computed_at":"2026-07-05T01:39:21.106488Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:39:21.106488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5gG7vUvyo/K54Chroh/4QPEnHeqAVr/ckSwTfDHvvE8M+9gu2ZEW1O9jsZTu8k5pAziDBPMQPxGXz+Pu/c4UDA==","signature_status":"signed_v1","signed_at":"2026-07-05T01:39:21.106859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2009.14593","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b95de3ad0cd918f0943f5c1519d2541f83b848aa8284b100f72066cd42142abe","sha256:590987dc86a17782738766b2f598e8f3bc4d85089d1324cbc94b1d3845cae5ba"],"state_sha256":"167a129143cbca923f8fd1ec3318ff29f4d67754cf0aa54842b534930cbf4ec9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HdTBw93MVY5Sd/zYPi9yKJe7eD72ihcZwjFouyllOcXhEl7nWgkUJ+YgyhFj5bEqWJI1O4mxLSYpTfMltebzBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-24T02:39:07.286974Z","bundle_sha256":"ccca09f2d169523ce8e8451febe756fc44f37ec1f432e6924f62e1964b174926"}}