{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:EBQGRHXIWQDWO4L5TBPYHMOJNE","short_pith_number":"pith:EBQGRHXI","canonical_record":{"source":{"id":"2311.06909","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-12T17:52:06Z","cross_cats_sorted":[],"title_canon_sha256":"42d27a2a601677b49445e9b308f46452af268745c7441e14980de890e94c9e10","abstract_canon_sha256":"e4b7b86aefb4c4d60769c054a0658f52bac2de736f4b43658cb78fe696c3f8c9"},"schema_version":"1.0"},"canonical_sha256":"2060689ee8b40767717d985f83b1c9691bbe53c4b036bf7b91c2fbab053d0944","source":{"kind":"arxiv","id":"2311.06909","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.06909","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"2311.06909v3","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.06909","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"EBQGRHXIWQDW","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"EBQGRHXIWQDWO4L5","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"EBQGRHXI","created_at":"2026-07-05T08:05:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:EBQGRHXIWQDWO4L5TBPYHMOJNE","target":"record","payload":{"canonical_record":{"source":{"id":"2311.06909","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-12T17:52:06Z","cross_cats_sorted":[],"title_canon_sha256":"42d27a2a601677b49445e9b308f46452af268745c7441e14980de890e94c9e10","abstract_canon_sha256":"e4b7b86aefb4c4d60769c054a0658f52bac2de736f4b43658cb78fe696c3f8c9"},"schema_version":"1.0"},"canonical_sha256":"2060689ee8b40767717d985f83b1c9691bbe53c4b036bf7b91c2fbab053d0944","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:05:04.950034Z","signature_b64":"U35stcgh0O8P7A3Jp1o6Pi9FySmNpo99djlK4wW1BsMfd/20Na5ov3Jm3m4VDQJyz6J5VBtK0YcRXKZNSyohCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2060689ee8b40767717d985f83b1c9691bbe53c4b036bf7b91c2fbab053d0944","last_reissued_at":"2026-07-05T08:05:04.949594Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:05:04.949594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2311.06909","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":"2026-07-05T08:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+IiGQLyYPlEsy4vOUBXxA0z7+c5elFCKzDfTXp9d4v1qoixRaICcQqLk49RucbE/YGTUEL5EuF8AdE2tu6hODg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T09:05:02.158953Z"},"content_sha256":"0d28042848d5b81a8f35f77f67489c361a14a7d6053e53130e534de0d965db9d","schema_version":"1.0","event_id":"sha256:0d28042848d5b81a8f35f77f67489c361a14a7d6053e53130e534de0d965db9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:EBQGRHXIWQDWO4L5TBPYHMOJNE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Quantum Mechanical Example for Hodge Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"R. P. Malik, Shri Krishna","submitted_at":"2023-11-12T17:52:06Z","abstract_excerpt":"On the basis of (i) the discrete and continuous symmetries (and corresponding conserved charges), (ii) the ensuing algebraic structures of the symmetry operators and conserved charges, and (iii) a few basic concepts behind the subject of differential geometry, we show that the celebrated Friedberg-Lee-Pang-Ren (FLPR) quantum mechanical model (describing the motion of a single non-relativistic particle of unit mass under the influence of the general spatial 2D rotationally invariant potential) provides a tractable physical example for the Hodge theory within the framework of Becchi-Rouet-Stora-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.06909","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/2311.06909/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":"2026-07-05T08:05:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jAEuIHdwjMYN3fRRquSsNdUil3r7+4ue8ZgiY6UMtxlz7fEnkFjl/5N+TBzAnCKArXCTX1PyGN/j7TGnc7ifDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T09:05:02.159747Z"},"content_sha256":"00d67fc0cfe178610550a68976fe2d6bc2e2703bbbd879d553a74f73e7ddf423","schema_version":"1.0","event_id":"sha256:00d67fc0cfe178610550a68976fe2d6bc2e2703bbbd879d553a74f73e7ddf423"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/bundle.json","state_url":"https://pith.science/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/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":"2026-08-19T09:05:02Z","links":{"resolver":"https://pith.science/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE","bundle":"https://pith.science/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/bundle.json","state":"https://pith.science/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EBQGRHXIWQDWO4L5TBPYHMOJNE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EBQGRHXIWQDWO4L5TBPYHMOJNE","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":"e4b7b86aefb4c4d60769c054a0658f52bac2de736f4b43658cb78fe696c3f8c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-12T17:52:06Z","title_canon_sha256":"42d27a2a601677b49445e9b308f46452af268745c7441e14980de890e94c9e10"},"schema_version":"1.0","source":{"id":"2311.06909","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.06909","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"arxiv_version","alias_value":"2311.06909v3","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.06909","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_12","alias_value":"EBQGRHXIWQDW","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_16","alias_value":"EBQGRHXIWQDWO4L5","created_at":"2026-07-05T08:05:04Z"},{"alias_kind":"pith_short_8","alias_value":"EBQGRHXI","created_at":"2026-07-05T08:05:04Z"}],"graph_snapshots":[{"event_id":"sha256:00d67fc0cfe178610550a68976fe2d6bc2e2703bbbd879d553a74f73e7ddf423","target":"graph","created_at":"2026-07-05T08:05:04Z","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/2311.06909/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"On the basis of (i) the discrete and continuous symmetries (and corresponding conserved charges), (ii) the ensuing algebraic structures of the symmetry operators and conserved charges, and (iii) a few basic concepts behind the subject of differential geometry, we show that the celebrated Friedberg-Lee-Pang-Ren (FLPR) quantum mechanical model (describing the motion of a single non-relativistic particle of unit mass under the influence of the general spatial 2D rotationally invariant potential) provides a tractable physical example for the Hodge theory within the framework of Becchi-Rouet-Stora-","authors_text":"R. P. Malik, Shri Krishna","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-12T17:52:06Z","title":"A Quantum Mechanical Example for Hodge Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.06909","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":"sha256:0d28042848d5b81a8f35f77f67489c361a14a7d6053e53130e534de0d965db9d","target":"record","created_at":"2026-07-05T08:05:04Z","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":"e4b7b86aefb4c4d60769c054a0658f52bac2de736f4b43658cb78fe696c3f8c9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-11-12T17:52:06Z","title_canon_sha256":"42d27a2a601677b49445e9b308f46452af268745c7441e14980de890e94c9e10"},"schema_version":"1.0","source":{"id":"2311.06909","kind":"arxiv","version":3}},"canonical_sha256":"2060689ee8b40767717d985f83b1c9691bbe53c4b036bf7b91c2fbab053d0944","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2060689ee8b40767717d985f83b1c9691bbe53c4b036bf7b91c2fbab053d0944","first_computed_at":"2026-07-05T08:05:04.949594Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:05:04.949594Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U35stcgh0O8P7A3Jp1o6Pi9FySmNpo99djlK4wW1BsMfd/20Na5ov3Jm3m4VDQJyz6J5VBtK0YcRXKZNSyohCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:05:04.950034Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.06909","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0d28042848d5b81a8f35f77f67489c361a14a7d6053e53130e534de0d965db9d","sha256:00d67fc0cfe178610550a68976fe2d6bc2e2703bbbd879d553a74f73e7ddf423"],"state_sha256":"2220430beca4f033e72433186bef460d3e68f763b788a0c6add79983d6c16133"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dwqQUN6O27ezntEo85ZDd5lVGkOlrmD3jFEDwC6C3o8Bd7MKZjso+jN2SD0v9AEHm6AgeCEdJwfKD+3wv5vMBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T09:05:02.176453Z","bundle_sha256":"00f79110cd25fe0b63a2777bc24e1fbd2900fcbf9960764f952687cf810a0cef"}}