{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:IPO2YQNQD43BT2D2NS3M7MW33N","short_pith_number":"pith:IPO2YQNQ","canonical_record":{"source":{"id":"2606.19394","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-16T17:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"3bd448dbf7a0262dfd24bd492082623706b3c2cf645316d511cd4973454ed0ec","abstract_canon_sha256":"d0dd10ea11db81a23977dd5a7f2976845ca3dfd3acf979593773ae1899913f16"},"schema_version":"1.0"},"canonical_sha256":"43ddac41b01f3619e87a6cb6cfb2dbdb59abbada1fb00bb65938a2dc9d9d5d33","source":{"kind":"arxiv","id":"2606.19394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19394","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19394v1","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19394","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"IPO2YQNQD43B","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_16","alias_value":"IPO2YQNQD43BT2D2","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_8","alias_value":"IPO2YQNQ","created_at":"2026-06-19T16:12:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:IPO2YQNQD43BT2D2NS3M7MW33N","target":"record","payload":{"canonical_record":{"source":{"id":"2606.19394","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-16T17:45:49Z","cross_cats_sorted":[],"title_canon_sha256":"3bd448dbf7a0262dfd24bd492082623706b3c2cf645316d511cd4973454ed0ec","abstract_canon_sha256":"d0dd10ea11db81a23977dd5a7f2976845ca3dfd3acf979593773ae1899913f16"},"schema_version":"1.0"},"canonical_sha256":"43ddac41b01f3619e87a6cb6cfb2dbdb59abbada1fb00bb65938a2dc9d9d5d33","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-19T16:12:24.423387Z","signature_b64":"YJWkxsY6AfyCVSdxEzU4wKnx+C8tt8Uv+87wppDB4mi2SBzge1aoJsUdqlmjy6JD/REMk9qm9ygvbdGsDofvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"43ddac41b01f3619e87a6cb6cfb2dbdb59abbada1fb00bb65938a2dc9d9d5d33","last_reissued_at":"2026-06-19T16:12:24.423025Z","signature_status":"signed_v1","first_computed_at":"2026-06-19T16:12:24.423025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.19394","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":"2026-06-19T16:12:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uk99iQiJr0PLBhw32Ulj2dZetH97fyhJwtuMcUanj6r6AAD/4e/w91JTpr0cd9W+lXfKEkIRwFmBMXJ/s+kDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T12:04:37.299151Z"},"content_sha256":"3546a7416626b0802b12ffe39b75f304bd5a19d678587dab45f2c5666495360f","schema_version":"1.0","event_id":"sha256:3546a7416626b0802b12ffe39b75f304bd5a19d678587dab45f2c5666495360f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:IPO2YQNQD43BT2D2NS3M7MW33N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Epimorphisms of Hypergraphic Automata and Input Symbol Semigroups","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.FL","authors_text":"Jasem Hamoud","submitted_at":"2026-06-16T17:45:49Z","abstract_excerpt":"Hypergraphic automata are automata whose state sets and output symbol sets are hypergraphs invariant under the actions of the transition and output functions. Universally attracting objects in the category of such automata are called universal hypergraphic automata; their semigroups of input symbols are algebras of mappings whose properties are tightly linked to the algebraic structure of the automata themselves. This paper establishes a complete characterisation of epimorphisms of universal hypergraphic automata and of their semigroups of input symbols. A central contribution is the introduct"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19394","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/2606.19394/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":"2026-06-19T16:12:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s2oxwAOFYRJdR0+r5dTv0o5uK4CPM9zJpAAeXIeZXqbJyfvAIn3lzYrdC+R2P+XVq5ehnsXg1gwQYlVBsxmHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T12:04:37.299547Z"},"content_sha256":"06a4b1a395d7b03982e10b2b0ccbf99c09594f8ae0bb688ec44372dcc323fcd2","schema_version":"1.0","event_id":"sha256:06a4b1a395d7b03982e10b2b0ccbf99c09594f8ae0bb688ec44372dcc323fcd2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IPO2YQNQD43BT2D2NS3M7MW33N/bundle.json","state_url":"https://pith.science/pith/IPO2YQNQD43BT2D2NS3M7MW33N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IPO2YQNQD43BT2D2NS3M7MW33N/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":"2026-07-01T12:04:37Z","links":{"resolver":"https://pith.science/pith/IPO2YQNQD43BT2D2NS3M7MW33N","bundle":"https://pith.science/pith/IPO2YQNQD43BT2D2NS3M7MW33N/bundle.json","state":"https://pith.science/pith/IPO2YQNQD43BT2D2NS3M7MW33N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IPO2YQNQD43BT2D2NS3M7MW33N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:IPO2YQNQD43BT2D2NS3M7MW33N","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":"d0dd10ea11db81a23977dd5a7f2976845ca3dfd3acf979593773ae1899913f16","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-16T17:45:49Z","title_canon_sha256":"3bd448dbf7a0262dfd24bd492082623706b3c2cf645316d511cd4973454ed0ec"},"schema_version":"1.0","source":{"id":"2606.19394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.19394","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"arxiv_version","alias_value":"2606.19394v1","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.19394","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_12","alias_value":"IPO2YQNQD43B","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_16","alias_value":"IPO2YQNQD43BT2D2","created_at":"2026-06-19T16:12:24Z"},{"alias_kind":"pith_short_8","alias_value":"IPO2YQNQ","created_at":"2026-06-19T16:12:24Z"}],"graph_snapshots":[{"event_id":"sha256:06a4b1a395d7b03982e10b2b0ccbf99c09594f8ae0bb688ec44372dcc323fcd2","target":"graph","created_at":"2026-06-19T16:12:24Z","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/2606.19394/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hypergraphic automata are automata whose state sets and output symbol sets are hypergraphs invariant under the actions of the transition and output functions. Universally attracting objects in the category of such automata are called universal hypergraphic automata; their semigroups of input symbols are algebras of mappings whose properties are tightly linked to the algebraic structure of the automata themselves. This paper establishes a complete characterisation of epimorphisms of universal hypergraphic automata and of their semigroups of input symbols. A central contribution is the introduct","authors_text":"Jasem Hamoud","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-16T17:45:49Z","title":"On Epimorphisms of Hypergraphic Automata and Input Symbol Semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.19394","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":"sha256:3546a7416626b0802b12ffe39b75f304bd5a19d678587dab45f2c5666495360f","target":"record","created_at":"2026-06-19T16:12:24Z","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":"d0dd10ea11db81a23977dd5a7f2976845ca3dfd3acf979593773ae1899913f16","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-06-16T17:45:49Z","title_canon_sha256":"3bd448dbf7a0262dfd24bd492082623706b3c2cf645316d511cd4973454ed0ec"},"schema_version":"1.0","source":{"id":"2606.19394","kind":"arxiv","version":1}},"canonical_sha256":"43ddac41b01f3619e87a6cb6cfb2dbdb59abbada1fb00bb65938a2dc9d9d5d33","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"43ddac41b01f3619e87a6cb6cfb2dbdb59abbada1fb00bb65938a2dc9d9d5d33","first_computed_at":"2026-06-19T16:12:24.423025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-19T16:12:24.423025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YJWkxsY6AfyCVSdxEzU4wKnx+C8tt8Uv+87wppDB4mi2SBzge1aoJsUdqlmjy6JD/REMk9qm9ygvbdGsDofvCQ==","signature_status":"signed_v1","signed_at":"2026-06-19T16:12:24.423387Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.19394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3546a7416626b0802b12ffe39b75f304bd5a19d678587dab45f2c5666495360f","sha256:06a4b1a395d7b03982e10b2b0ccbf99c09594f8ae0bb688ec44372dcc323fcd2"],"state_sha256":"b843472c499f089dc7f8f830acb0e817db72a6a231670197808abea09a66fa92"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ADm12iR/azbDHAV/620sVsu6diesiWiTNZEwz9YLtn9iTnlM6edlW6pkqr64It+5Duq4zV336VmvKKkBb4U/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T12:04:37.301726Z","bundle_sha256":"873727d15ba0b7de115ffbfa7c78eaf01c8cbfb48312e93f0e8f10b7e4dbb707"}}