{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:O2GYMVNUKPRR2XLOVVW5PG674S","short_pith_number":"pith:O2GYMVNU","canonical_record":{"source":{"id":"1705.02289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-05T16:30:03Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5a87d83730f7bf28368db7a1434b014d8639a07fccf7220fd4371c18642b7aaf","abstract_canon_sha256":"499ee45325b0341e1b597b974a96eb46f42ea1fe22a812abe0c33c0996db4b8f"},"schema_version":"1.0"},"canonical_sha256":"768d8655b453e31d5d6ead6dd79bdfe48a6d4389fd3f329dc1d6685e3ab18e3f","source":{"kind":"arxiv","id":"1705.02289","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02289","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02289v1","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02289","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"O2GYMVNUKPRR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O2GYMVNUKPRR2XLO","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O2GYMVNU","created_at":"2026-05-18T12:31:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:O2GYMVNUKPRR2XLOVVW5PG674S","target":"record","payload":{"canonical_record":{"source":{"id":"1705.02289","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-05T16:30:03Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5a87d83730f7bf28368db7a1434b014d8639a07fccf7220fd4371c18642b7aaf","abstract_canon_sha256":"499ee45325b0341e1b597b974a96eb46f42ea1fe22a812abe0c33c0996db4b8f"},"schema_version":"1.0"},"canonical_sha256":"768d8655b453e31d5d6ead6dd79bdfe48a6d4389fd3f329dc1d6685e3ab18e3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:58.661237Z","signature_b64":"ZV1fNXNDzWZXF//arCMFMpfEKPXDAFoBe92LbFna06U2BiGonNwUYGZgHSykc7QlOxEXd5L6H7PkncereiCwAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"768d8655b453e31d5d6ead6dd79bdfe48a6d4389fd3f329dc1d6685e3ab18e3f","last_reissued_at":"2026-05-18T00:44:58.660856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:58.660856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.02289","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":"2026-05-18T00:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZvIM2g0BH+gvRTO7j4bBmAtpUIGLoKPLwGhbqfleQlaY56bBZpE0m6toS50edU6T4rhXgRxnaAMrQi6VnjwtBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:05:09.660668Z"},"content_sha256":"8d479e71a4256c5997195e202f04655f456d57bc59d33740c8f0b091e1251499","schema_version":"1.0","event_id":"sha256:8d479e71a4256c5997195e202f04655f456d57bc59d33740c8f0b091e1251499"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:O2GYMVNUKPRR2XLOVVW5PG674S","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sub-symmetries II. Sub-symmetries and Conservation Laws","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Ravi Shankar, V Rosenhaus","submitted_at":"2017-05-05T16:30:03Z","abstract_excerpt":"In our previous paper, the concept of sub-symmetry of a differential system was introduced, and its properties and some applications were studied. It was shown that sub-symmetries are important in decoupling a differential system, and in the deformation of a system's conservation laws, to a greater extent than regular symmetries. In this paper, we study the nature of a correspondence between sub-symmetries and conservation laws of a differential system. We show that for a large class of non-Lagrangian systems, there is a natural association between sub-symmetries and local conservation laws ba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02289","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":"2026-05-18T00:44:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JOTJvYRKWsQcc6iFvym6B8TkpSefrrBIl0NXxOUMDsfGqIAUhLUSPoHaQvxuPPtaQvLQ+tQaPsUDaEzpq9J9Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T01:05:09.661369Z"},"content_sha256":"6ad5dc89a095a984ba13e1a186eab0223c3d7eb553a24d9773a8a1c0b949c07f","schema_version":"1.0","event_id":"sha256:6ad5dc89a095a984ba13e1a186eab0223c3d7eb553a24d9773a8a1c0b949c07f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O2GYMVNUKPRR2XLOVVW5PG674S/bundle.json","state_url":"https://pith.science/pith/O2GYMVNUKPRR2XLOVVW5PG674S/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O2GYMVNUKPRR2XLOVVW5PG674S/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":"2026-06-01T01:05:09Z","links":{"resolver":"https://pith.science/pith/O2GYMVNUKPRR2XLOVVW5PG674S","bundle":"https://pith.science/pith/O2GYMVNUKPRR2XLOVVW5PG674S/bundle.json","state":"https://pith.science/pith/O2GYMVNUKPRR2XLOVVW5PG674S/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O2GYMVNUKPRR2XLOVVW5PG674S/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O2GYMVNUKPRR2XLOVVW5PG674S","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":"499ee45325b0341e1b597b974a96eb46f42ea1fe22a812abe0c33c0996db4b8f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-05T16:30:03Z","title_canon_sha256":"5a87d83730f7bf28368db7a1434b014d8639a07fccf7220fd4371c18642b7aaf"},"schema_version":"1.0","source":{"id":"1705.02289","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.02289","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"arxiv_version","alias_value":"1705.02289v1","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.02289","created_at":"2026-05-18T00:44:58Z"},{"alias_kind":"pith_short_12","alias_value":"O2GYMVNUKPRR","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O2GYMVNUKPRR2XLO","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O2GYMVNU","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:6ad5dc89a095a984ba13e1a186eab0223c3d7eb553a24d9773a8a1c0b949c07f","target":"graph","created_at":"2026-05-18T00:44:58Z","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":"In our previous paper, the concept of sub-symmetry of a differential system was introduced, and its properties and some applications were studied. It was shown that sub-symmetries are important in decoupling a differential system, and in the deformation of a system's conservation laws, to a greater extent than regular symmetries. In this paper, we study the nature of a correspondence between sub-symmetries and conservation laws of a differential system. We show that for a large class of non-Lagrangian systems, there is a natural association between sub-symmetries and local conservation laws ba","authors_text":"Ravi Shankar, V Rosenhaus","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-05T16:30:03Z","title":"Sub-symmetries II. Sub-symmetries and Conservation Laws"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.02289","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":"sha256:8d479e71a4256c5997195e202f04655f456d57bc59d33740c8f0b091e1251499","target":"record","created_at":"2026-05-18T00:44:58Z","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":"499ee45325b0341e1b597b974a96eb46f42ea1fe22a812abe0c33c0996db4b8f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-05T16:30:03Z","title_canon_sha256":"5a87d83730f7bf28368db7a1434b014d8639a07fccf7220fd4371c18642b7aaf"},"schema_version":"1.0","source":{"id":"1705.02289","kind":"arxiv","version":1}},"canonical_sha256":"768d8655b453e31d5d6ead6dd79bdfe48a6d4389fd3f329dc1d6685e3ab18e3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"768d8655b453e31d5d6ead6dd79bdfe48a6d4389fd3f329dc1d6685e3ab18e3f","first_computed_at":"2026-05-18T00:44:58.660856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:58.660856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZV1fNXNDzWZXF//arCMFMpfEKPXDAFoBe92LbFna06U2BiGonNwUYGZgHSykc7QlOxEXd5L6H7PkncereiCwAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:58.661237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.02289","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8d479e71a4256c5997195e202f04655f456d57bc59d33740c8f0b091e1251499","sha256:6ad5dc89a095a984ba13e1a186eab0223c3d7eb553a24d9773a8a1c0b949c07f"],"state_sha256":"302aedf6ac85b27e4843f06f855e7b386be0fc51020983757dd88c19c9c76e8c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+GDpjFlNZckafeJfPILPFp/EvtlQzG1aZfVHOuG8ZDOsHLpgM8Q+bXIu76ksp7Ftq+79Qeo6ZNBIwoGXPNP4Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T01:05:09.665113Z","bundle_sha256":"e36cd6ad2616b81cf66ca531e535f9532881655a691732069e01253dbc534bba"}}