{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SNMY2WM4PFO3IGZIPZPFWLBAO7","short_pith_number":"pith:SNMY2WM4","canonical_record":{"source":{"id":"1201.0321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-01-01T03:11:49Z","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"title_canon_sha256":"ead338b0fda8b948ad960ed7452402a122b4e54506ff2471a79be373c95a1418","abstract_canon_sha256":"d822f7d84df45e6ea6c4c79d659729dee70dfb9eb4dd08997f39f68e4e176cc3"},"schema_version":"1.0"},"canonical_sha256":"93598d599c795db41b287e5e5b2c2077c94715b5185d9f3b63c4eebf8b6decf0","source":{"kind":"arxiv","id":"1201.0321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0321","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0321v1","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0321","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"pith_short_12","alias_value":"SNMY2WM4PFO3","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SNMY2WM4PFO3IGZI","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SNMY2WM4","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SNMY2WM4PFO3IGZIPZPFWLBAO7","target":"record","payload":{"canonical_record":{"source":{"id":"1201.0321","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-01-01T03:11:49Z","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"title_canon_sha256":"ead338b0fda8b948ad960ed7452402a122b4e54506ff2471a79be373c95a1418","abstract_canon_sha256":"d822f7d84df45e6ea6c4c79d659729dee70dfb9eb4dd08997f39f68e4e176cc3"},"schema_version":"1.0"},"canonical_sha256":"93598d599c795db41b287e5e5b2c2077c94715b5185d9f3b63c4eebf8b6decf0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:14.629091Z","signature_b64":"XRAtBu5+LWhcCI2KNaAi8BYoC5+rWq79mDpknCFocq0+N3Pe0/5vUcSfEWCmeYSuFyiyu64iLd+BHJa6tH7aCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93598d599c795db41b287e5e5b2c2077c94715b5185d9f3b63c4eebf8b6decf0","last_reissued_at":"2026-05-18T01:19:14.628387Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:14.628387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.0321","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":"2026-05-18T01:19:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x+l79tIFec0Opv6iKXwFrtl6pbu+dijmTpGaK8vf3PnjuxDYkUIETVS/UJonaSoEXwq2yGa3BjqPqrxApFewBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:36:55.097029Z"},"content_sha256":"b90a49e8b8f3f7753695eac1d5757c667ba718abc6cb9b78b72a536f7503cb14","schema_version":"1.0","event_id":"sha256:b90a49e8b8f3f7753695eac1d5757c667ba718abc6cb9b78b72a536f7503cb14"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SNMY2WM4PFO3IGZIPZPFWLBAO7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Maximally informative \"stimulus energies\" in the analysis of neural responses to natural signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn","physics.bio-ph"],"primary_cat":"q-bio.NC","authors_text":"Kanaka Rajan, William Bialek","submitted_at":"2012-01-01T03:11:49Z","abstract_excerpt":"The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if neural responses exhibit invariances, then the relevant subspace typically cannot be reached by a Euclidean projection of the original stimulus. We argue that, in several cases, we can make progress by appealing to the simplest nonlinear construction, identifying the relevant variables as quadratic forms, or \"stimulus energies.\" Natural examples include non-ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0321","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":"2026-05-18T01:19:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IazNJVjf+QrEZ8nUMydYQaPSJiBT2t8dkqgwnjlOBMW3LkTvuJ9vGFtBOl1GzxWNrQ/zKm3GXo5KHOlvCvjsBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:36:55.097714Z"},"content_sha256":"67df561b5fd8aeb8937c6ead7843756d4196ba2821c2faba2699b0b5d99b6f08","schema_version":"1.0","event_id":"sha256:67df561b5fd8aeb8937c6ead7843756d4196ba2821c2faba2699b0b5d99b6f08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/bundle.json","state_url":"https://pith.science/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/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":"2026-05-26T17:36:55Z","links":{"resolver":"https://pith.science/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7","bundle":"https://pith.science/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/bundle.json","state":"https://pith.science/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SNMY2WM4PFO3IGZIPZPFWLBAO7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SNMY2WM4PFO3IGZIPZPFWLBAO7","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":"d822f7d84df45e6ea6c4c79d659729dee70dfb9eb4dd08997f39f68e4e176cc3","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-01-01T03:11:49Z","title_canon_sha256":"ead338b0fda8b948ad960ed7452402a122b4e54506ff2471a79be373c95a1418"},"schema_version":"1.0","source":{"id":"1201.0321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0321","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0321v1","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0321","created_at":"2026-05-18T01:19:14Z"},{"alias_kind":"pith_short_12","alias_value":"SNMY2WM4PFO3","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SNMY2WM4PFO3IGZI","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SNMY2WM4","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:67df561b5fd8aeb8937c6ead7843756d4196ba2821c2faba2699b0b5d99b6f08","target":"graph","created_at":"2026-05-18T01:19:14Z","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":"The concept of feature selectivity in sensory signal processing can be formalized as dimensionality reduction: in a stimulus space of very high dimensions, neurons respond only to variations within some smaller, relevant subspace. But if neural responses exhibit invariances, then the relevant subspace typically cannot be reached by a Euclidean projection of the original stimulus. We argue that, in several cases, we can make progress by appealing to the simplest nonlinear construction, identifying the relevant variables as quadratic forms, or \"stimulus energies.\" Natural examples include non-ph","authors_text":"Kanaka Rajan, William Bialek","cross_cats":["cond-mat.dis-nn","physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-01-01T03:11:49Z","title":"Maximally informative \"stimulus energies\" in the analysis of neural responses to natural signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0321","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:b90a49e8b8f3f7753695eac1d5757c667ba718abc6cb9b78b72a536f7503cb14","target":"record","created_at":"2026-05-18T01:19:14Z","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":"d822f7d84df45e6ea6c4c79d659729dee70dfb9eb4dd08997f39f68e4e176cc3","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2012-01-01T03:11:49Z","title_canon_sha256":"ead338b0fda8b948ad960ed7452402a122b4e54506ff2471a79be373c95a1418"},"schema_version":"1.0","source":{"id":"1201.0321","kind":"arxiv","version":1}},"canonical_sha256":"93598d599c795db41b287e5e5b2c2077c94715b5185d9f3b63c4eebf8b6decf0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93598d599c795db41b287e5e5b2c2077c94715b5185d9f3b63c4eebf8b6decf0","first_computed_at":"2026-05-18T01:19:14.628387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:14.628387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XRAtBu5+LWhcCI2KNaAi8BYoC5+rWq79mDpknCFocq0+N3Pe0/5vUcSfEWCmeYSuFyiyu64iLd+BHJa6tH7aCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:14.629091Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b90a49e8b8f3f7753695eac1d5757c667ba718abc6cb9b78b72a536f7503cb14","sha256:67df561b5fd8aeb8937c6ead7843756d4196ba2821c2faba2699b0b5d99b6f08"],"state_sha256":"7b77f6797dc04101e3c42fab7c83f0934887284ce7748801e7b411b99b77cef5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X+B/YoqFZxoHdlGL8EJtgpjwDvfZM0FYYfEmUkHr6ibOR5y/ZdeR9v8JAh+MEf7fVhbWwOThM5Mq3Jq8e3jRCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:36:55.101051Z","bundle_sha256":"73a7852aa7c20b0942eacf13bdfe8dc233cc4f5f187c7d5b9e887a6ffc73bef8"}}