{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:TXHNX4CJWGS5QJORULSDOLYPLL","short_pith_number":"pith:TXHNX4CJ","schema_version":"1.0","canonical_sha256":"9dcedbf049b1a5d825d1a2e4372f0f5adb95fdeaf9adbb6a40ab47349f128ef8","source":{"kind":"arxiv","id":"2311.10690","version":5},"attestation_state":"computed","paper":{"title":"On the degrees of freedom count on singular phase space submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexey Golovnev","submitted_at":"2023-11-17T18:20:23Z","abstract_excerpt":"I discuss singular loci in the phase spaces of theories which lack globally well-defined numbers of dynamical modes. This is a topic which appears quite often in the recent literature on modified gravity. In particular, there were discussions about $R^2$ gravity around Minkowski space. It is a relatively simple case, and still there were some confusions. It clearly shows that one should be very accurate when trying to understand a potentially problematic theory through perturbations around a simply looking background. At the same time, many modern teleparallel approaches are laden with even mo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2311.10690","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-11-17T18:20:23Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"81e4dbbda20ad96beeca78551398cbb080aa19dbaccfb36ac64269dfd998ce79","abstract_canon_sha256":"7ae80b2e3243b10e5e9f599de1d4983afa990ee2df151b425070000af6f5ec8c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:00:00.588040Z","signature_b64":"c0+rT+wBDkWoWNnmwkt3T1zaqrQT/iUvrBmR5/zs1XsMmtuHIKbFGm091fDimdogX+ZKgma5Xj6GMJJFiNQMCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9dcedbf049b1a5d825d1a2e4372f0f5adb95fdeaf9adbb6a40ab47349f128ef8","last_reissued_at":"2026-07-05T09:00:00.587587Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:00:00.587587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the degrees of freedom count on singular phase space submanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Alexey Golovnev","submitted_at":"2023-11-17T18:20:23Z","abstract_excerpt":"I discuss singular loci in the phase spaces of theories which lack globally well-defined numbers of dynamical modes. This is a topic which appears quite often in the recent literature on modified gravity. In particular, there were discussions about $R^2$ gravity around Minkowski space. It is a relatively simple case, and still there were some confusions. It clearly shows that one should be very accurate when trying to understand a potentially problematic theory through perturbations around a simply looking background. At the same time, many modern teleparallel approaches are laden with even mo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.10690","kind":"arxiv","version":5},"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/2311.10690/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2311.10690","created_at":"2026-07-05T09:00:00.587638+00:00"},{"alias_kind":"arxiv_version","alias_value":"2311.10690v5","created_at":"2026-07-05T09:00:00.587638+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.10690","created_at":"2026-07-05T09:00:00.587638+00:00"},{"alias_kind":"pith_short_12","alias_value":"TXHNX4CJWGS5","created_at":"2026-07-05T09:00:00.587638+00:00"},{"alias_kind":"pith_short_16","alias_value":"TXHNX4CJWGS5QJOR","created_at":"2026-07-05T09:00:00.587638+00:00"},{"alias_kind":"pith_short_8","alias_value":"TXHNX4CJ","created_at":"2026-07-05T09:00:00.587638+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.11453","citing_title":"On phase-space singular surfaces in $f(R)$ gravity","ref_index":2,"is_internal_anchor":false},{"citing_arxiv_id":"2605.22329","citing_title":"Vector modes in Type 3 New GR","ref_index":11,"is_internal_anchor":false},{"citing_arxiv_id":"2510.08201","citing_title":"Spectrum of pure $R^2$ gravity: full Hamiltonian analysis","ref_index":3,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL","json":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL.json","graph_json":"https://pith.science/api/pith-number/TXHNX4CJWGS5QJORULSDOLYPLL/graph.json","events_json":"https://pith.science/api/pith-number/TXHNX4CJWGS5QJORULSDOLYPLL/events.json","paper":"https://pith.science/paper/TXHNX4CJ"},"agent_actions":{"view_html":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL","download_json":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL.json","view_paper":"https://pith.science/paper/TXHNX4CJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2311.10690&json=true","fetch_graph":"https://pith.science/api/pith-number/TXHNX4CJWGS5QJORULSDOLYPLL/graph.json","fetch_events":"https://pith.science/api/pith-number/TXHNX4CJWGS5QJORULSDOLYPLL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL/action/storage_attestation","attest_author":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL/action/author_attestation","sign_citation":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL/action/citation_signature","submit_replication":"https://pith.science/pith/TXHNX4CJWGS5QJORULSDOLYPLL/action/replication_record"}},"created_at":"2026-07-05T09:00:00.587638+00:00","updated_at":"2026-07-05T09:00:00.587638+00:00"}