{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:MSXQP776OKT5ZFZDYUXQXXR5QJ","short_pith_number":"pith:MSXQP776","canonical_record":{"source":{"id":"2109.03879","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2021-09-08T19:10:47Z","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"title_canon_sha256":"0519bb85940ca3d6fbb6141e056b9580f5489e16e13db5521b7bcd6f4b4c7258","abstract_canon_sha256":"02782cc96205e080bbae98109554accd130597a80450c397a61f3ae62a57a224"},"schema_version":"1.0"},"canonical_sha256":"64af07fffe72a7dc9723c52f0bde3d8279ec3e565a9394a79b0a62b0a556d483","source":{"kind":"arxiv","id":"2109.03879","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.03879","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"2109.03879v3","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.03879","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"MSXQP776OKT5","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"MSXQP776OKT5ZFZD","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"MSXQP776","created_at":"2026-07-05T09:03:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:MSXQP776OKT5ZFZDYUXQXXR5QJ","target":"record","payload":{"canonical_record":{"source":{"id":"2109.03879","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2021-09-08T19:10:47Z","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"title_canon_sha256":"0519bb85940ca3d6fbb6141e056b9580f5489e16e13db5521b7bcd6f4b4c7258","abstract_canon_sha256":"02782cc96205e080bbae98109554accd130597a80450c397a61f3ae62a57a224"},"schema_version":"1.0"},"canonical_sha256":"64af07fffe72a7dc9723c52f0bde3d8279ec3e565a9394a79b0a62b0a556d483","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:03:45.039419Z","signature_b64":"/RGhhNexPcSJft5mc3rp3oygOXpieCJAsvvnSL6vATo6qoe0ZaiHl+ERQaMCAq0AczOmXW7YP72kBOURsl8ODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64af07fffe72a7dc9723c52f0bde3d8279ec3e565a9394a79b0a62b0a556d483","last_reissued_at":"2026-07-05T09:03:45.039037Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:03:45.039037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.03879","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CXZLAJDdcR2xqpIZq1eq36rSDa2KBCKm2+Qa7+99jE7XmJ/OUK6+O+ti32JQf17LvrZ4ZboTEphZGH1nPSliCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:56:47.723327Z"},"content_sha256":"7b7bc04fd168a186f954e0682196920d4646e928fd4a854af528d5d470a6e292","schema_version":"1.0","event_id":"sha256:7b7bc04fd168a186f954e0682196920d4646e928fd4a854af528d5d470a6e292"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:MSXQP776OKT5ZFZDYUXQXXR5QJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Emergence of robust memory manifolds","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cond-mat.dis-nn","physics.bio-ph"],"primary_cat":"q-bio.NC","authors_text":"Kamesh Krishnamurthy, Tankut Can","submitted_at":"2021-09-08T19:10:47Z","abstract_excerpt":"The ability to store continuous variables in the state of a biological system (e.g. a neural network) is critical for many behaviours. Most models for implementing such a memory manifold require hand-crafted symmetries in the interactions or precise fine-tuning of parameters. We present a general principle that we refer to as {\\it frozen stabilisation} (FS), which allows a family of neural networks to self-organise to a critical state exhibiting multiple memory manifolds without parameter fine-tuning or symmetries. Memory manifolds arising from FS exhibit a wide range of emergent relaxational "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.03879","kind":"arxiv","version":3},"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/2109.03879/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":"2026-07-05T09:03:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+xPC3T/60Qgi16DOzqI7CF4KyfGXjQmAeJbMTcs+yIBkdNwNNd9M3umK0NbWsmWr2menJoViXB37k7Vn5Na2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:56:47.723844Z"},"content_sha256":"34c54aeba568e9936d901e319683014d66ab058bb1501bd1ffb5b13ba7139f2c","schema_version":"1.0","event_id":"sha256:34c54aeba568e9936d901e319683014d66ab058bb1501bd1ffb5b13ba7139f2c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/bundle.json","state_url":"https://pith.science/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/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":"2026-08-08T15:56:47Z","links":{"resolver":"https://pith.science/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ","bundle":"https://pith.science/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/bundle.json","state":"https://pith.science/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MSXQP776OKT5ZFZDYUXQXXR5QJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:MSXQP776OKT5ZFZDYUXQXXR5QJ","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":"02782cc96205e080bbae98109554accd130597a80450c397a61f3ae62a57a224","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2021-09-08T19:10:47Z","title_canon_sha256":"0519bb85940ca3d6fbb6141e056b9580f5489e16e13db5521b7bcd6f4b4c7258"},"schema_version":"1.0","source":{"id":"2109.03879","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.03879","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"arxiv_version","alias_value":"2109.03879v3","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.03879","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_12","alias_value":"MSXQP776OKT5","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_16","alias_value":"MSXQP776OKT5ZFZD","created_at":"2026-07-05T09:03:45Z"},{"alias_kind":"pith_short_8","alias_value":"MSXQP776","created_at":"2026-07-05T09:03:45Z"}],"graph_snapshots":[{"event_id":"sha256:34c54aeba568e9936d901e319683014d66ab058bb1501bd1ffb5b13ba7139f2c","target":"graph","created_at":"2026-07-05T09:03:45Z","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/2109.03879/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The ability to store continuous variables in the state of a biological system (e.g. a neural network) is critical for many behaviours. Most models for implementing such a memory manifold require hand-crafted symmetries in the interactions or precise fine-tuning of parameters. We present a general principle that we refer to as {\\it frozen stabilisation} (FS), which allows a family of neural networks to self-organise to a critical state exhibiting multiple memory manifolds without parameter fine-tuning or symmetries. Memory manifolds arising from FS exhibit a wide range of emergent relaxational ","authors_text":"Kamesh Krishnamurthy, Tankut Can","cross_cats":["cond-mat.dis-nn","physics.bio-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2021-09-08T19:10:47Z","title":"Emergence of robust memory manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.03879","kind":"arxiv","version":3},"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":"sha256:7b7bc04fd168a186f954e0682196920d4646e928fd4a854af528d5d470a6e292","target":"record","created_at":"2026-07-05T09:03:45Z","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":"02782cc96205e080bbae98109554accd130597a80450c397a61f3ae62a57a224","cross_cats_sorted":["cond-mat.dis-nn","physics.bio-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2021-09-08T19:10:47Z","title_canon_sha256":"0519bb85940ca3d6fbb6141e056b9580f5489e16e13db5521b7bcd6f4b4c7258"},"schema_version":"1.0","source":{"id":"2109.03879","kind":"arxiv","version":3}},"canonical_sha256":"64af07fffe72a7dc9723c52f0bde3d8279ec3e565a9394a79b0a62b0a556d483","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64af07fffe72a7dc9723c52f0bde3d8279ec3e565a9394a79b0a62b0a556d483","first_computed_at":"2026-07-05T09:03:45.039037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:03:45.039037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/RGhhNexPcSJft5mc3rp3oygOXpieCJAsvvnSL6vATo6qoe0ZaiHl+ERQaMCAq0AczOmXW7YP72kBOURsl8ODw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:03:45.039419Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.03879","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b7bc04fd168a186f954e0682196920d4646e928fd4a854af528d5d470a6e292","sha256:34c54aeba568e9936d901e319683014d66ab058bb1501bd1ffb5b13ba7139f2c"],"state_sha256":"f9c8046ca46f87c1723f96c4d69374081467fd29e945d66b517b705fac62591b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p8i18p+EJrv8EvmeBoTsxnSt4yOVIGFRVBKHk/mz2lGwXYojj4Hrqe45K15Vi2L04sCcRJW3p6nCD4pAMfCxCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:56:47.729150Z","bundle_sha256":"0de046cf47a359a0c33ec4f6d06d1fe536a77b0ed2a110f60ad70eb16b0da631"}}