{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:HYDCHFOU7JUPEA7VQUDEDFFRHB","short_pith_number":"pith:HYDCHFOU","canonical_record":{"source":{"id":"2606.03807","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-06-02T15:52:45Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"12804e19125cee623ac93228622625d9e1c4e76492685471a0470326247eb5d1","abstract_canon_sha256":"1998c46d3a1d62b6f072f9a7a050573bd4e1ce05d36518f2ab238e76c2bdf9d4"},"schema_version":"1.0"},"canonical_sha256":"3e062395d4fa68f203f585064194b13858959cf219be744a25f526f78360bfdd","source":{"kind":"arxiv","id":"2606.03807","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03807","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03807v1","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03807","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"HYDCHFOU7JUP","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"HYDCHFOU7JUPEA7V","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"HYDCHFOU","created_at":"2026-06-03T02:06:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:HYDCHFOU7JUPEA7VQUDEDFFRHB","target":"record","payload":{"canonical_record":{"source":{"id":"2606.03807","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-06-02T15:52:45Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"12804e19125cee623ac93228622625d9e1c4e76492685471a0470326247eb5d1","abstract_canon_sha256":"1998c46d3a1d62b6f072f9a7a050573bd4e1ce05d36518f2ab238e76c2bdf9d4"},"schema_version":"1.0"},"canonical_sha256":"3e062395d4fa68f203f585064194b13858959cf219be744a25f526f78360bfdd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T02:06:02.940390Z","signature_b64":"tsv4c/m1gAyqqx1iTtuRDGjWtQQuAK6GGicApEBXhkWVqUIg8xZe1cG0YO2utCQwLQ2A6Ig1fA9jTYjnBst2DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e062395d4fa68f203f585064194b13858959cf219be744a25f526f78360bfdd","last_reissued_at":"2026-06-03T02:06:02.939960Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T02:06:02.939960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.03807","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":"2026-06-03T02:06:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rg5mfZmPpN3ymqsa5SdjLNlT/D/813BdY1YgXewf+mT3lG/xSNI7qO7Fe6hitfln3SEpNAkflL0fWP7dxOcKAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:34:16.864913Z"},"content_sha256":"8ad9b6fa8bd8a60af40c9d576c9be6bcd0e6d092a1c574341de9ba05424e26fa","schema_version":"1.0","event_id":"sha256:8ad9b6fa8bd8a60af40c9d576c9be6bcd0e6d092a1c574341de9ba05424e26fa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:HYDCHFOU7JUPEA7VQUDEDFFRHB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Collision Resistance of Single-Layer Neural Nets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.CR","authors_text":"Alon Rosen, Andrej Bogdanov, Enrico M. Malatesta, Gianmarco Perrupato, Marc M\\'ezard, Marco Benedetti, Nikolaj I. Schwartzbach, Riccardo Zecchina","submitted_at":"2026-06-02T15:52:45Z","abstract_excerpt":"We initiate the study of the algorithmic complexity of finding collisions in single-layer binary neural networks. Given a random matrix $\\mathbf{A} \\in \\mathbb{R}^{m\\times n}$, an input $\\mathbf{x} \\in \\{-1,1\\}^n$ is mapped to a binary output vector $\\varphi(\\mathbf{A}\\mathbf{x})\\in \\{-1,1\\}^m$, where $\\varphi$ is an activation function with constant behavior on $[\\kappa, \\infty)$ for some threshold $\\kappa \\geq 0$.\n  We identify the threshold scale $\\kappa=\\Theta(1/\\sqrt{\\alpha})$, where $\\alpha=m/n$, as separating two complementary phenomena. When $\\kappa \\ll 1/\\sqrt{\\alpha}$, we give a simp"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03807","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/2606.03807/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":"2026-06-03T02:06:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Evj4oCZqrdXD9oSa498K6PnHHPn4flXdggcboINRMqfD6hWqnWyzR7Vvhq8sQ9iWB2w37w94T9glU61yN4BCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:34:16.865293Z"},"content_sha256":"0bb0e5ef6f4ab617582186eeae42878993bdd8b554f4e78a9f8f3f220be8b08b","schema_version":"1.0","event_id":"sha256:0bb0e5ef6f4ab617582186eeae42878993bdd8b554f4e78a9f8f3f220be8b08b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/bundle.json","state_url":"https://pith.science/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/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":"2026-06-09T15:34:16Z","links":{"resolver":"https://pith.science/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB","bundle":"https://pith.science/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/bundle.json","state":"https://pith.science/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HYDCHFOU7JUPEA7VQUDEDFFRHB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:HYDCHFOU7JUPEA7VQUDEDFFRHB","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":"1998c46d3a1d62b6f072f9a7a050573bd4e1ce05d36518f2ab238e76c2bdf9d4","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-06-02T15:52:45Z","title_canon_sha256":"12804e19125cee623ac93228622625d9e1c4e76492685471a0470326247eb5d1"},"schema_version":"1.0","source":{"id":"2606.03807","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03807","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03807v1","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03807","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_12","alias_value":"HYDCHFOU7JUP","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_16","alias_value":"HYDCHFOU7JUPEA7V","created_at":"2026-06-03T02:06:02Z"},{"alias_kind":"pith_short_8","alias_value":"HYDCHFOU","created_at":"2026-06-03T02:06:02Z"}],"graph_snapshots":[{"event_id":"sha256:0bb0e5ef6f4ab617582186eeae42878993bdd8b554f4e78a9f8f3f220be8b08b","target":"graph","created_at":"2026-06-03T02:06:02Z","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/2606.03807/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We initiate the study of the algorithmic complexity of finding collisions in single-layer binary neural networks. Given a random matrix $\\mathbf{A} \\in \\mathbb{R}^{m\\times n}$, an input $\\mathbf{x} \\in \\{-1,1\\}^n$ is mapped to a binary output vector $\\varphi(\\mathbf{A}\\mathbf{x})\\in \\{-1,1\\}^m$, where $\\varphi$ is an activation function with constant behavior on $[\\kappa, \\infty)$ for some threshold $\\kappa \\geq 0$.\n  We identify the threshold scale $\\kappa=\\Theta(1/\\sqrt{\\alpha})$, where $\\alpha=m/n$, as separating two complementary phenomena. When $\\kappa \\ll 1/\\sqrt{\\alpha}$, we give a simp","authors_text":"Alon Rosen, Andrej Bogdanov, Enrico M. Malatesta, Gianmarco Perrupato, Marc M\\'ezard, Marco Benedetti, Nikolaj I. Schwartzbach, Riccardo Zecchina","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-06-02T15:52:45Z","title":"Collision Resistance of Single-Layer Neural Nets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03807","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":"sha256:8ad9b6fa8bd8a60af40c9d576c9be6bcd0e6d092a1c574341de9ba05424e26fa","target":"record","created_at":"2026-06-03T02:06:02Z","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":"1998c46d3a1d62b6f072f9a7a050573bd4e1ce05d36518f2ab238e76c2bdf9d4","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CR","submitted_at":"2026-06-02T15:52:45Z","title_canon_sha256":"12804e19125cee623ac93228622625d9e1c4e76492685471a0470326247eb5d1"},"schema_version":"1.0","source":{"id":"2606.03807","kind":"arxiv","version":1}},"canonical_sha256":"3e062395d4fa68f203f585064194b13858959cf219be744a25f526f78360bfdd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3e062395d4fa68f203f585064194b13858959cf219be744a25f526f78360bfdd","first_computed_at":"2026-06-03T02:06:02.939960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T02:06:02.939960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tsv4c/m1gAyqqx1iTtuRDGjWtQQuAK6GGicApEBXhkWVqUIg8xZe1cG0YO2utCQwLQ2A6Ig1fA9jTYjnBst2DA==","signature_status":"signed_v1","signed_at":"2026-06-03T02:06:02.940390Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03807","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ad9b6fa8bd8a60af40c9d576c9be6bcd0e6d092a1c574341de9ba05424e26fa","sha256:0bb0e5ef6f4ab617582186eeae42878993bdd8b554f4e78a9f8f3f220be8b08b"],"state_sha256":"fc158c7f46b205c43ab465a3ce1b5529a98d0a2a655390cceb8bc42f97d264f0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRytsjaAsHolHzT4/Z603G+tnEKmHdA1g+wPtWRt3/BUm9775HvLPNcbLtYTw+T6HbnEaUwfFmCAeJXmXSfHBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:34:16.868708Z","bundle_sha256":"0692cb1c86f50407945d04b0f91b50d06e6468d508928d73198d13384fbe8aa3"}}