{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:RB6TCDJMXTCYA7XCUOB2RDAOHY","short_pith_number":"pith:RB6TCDJM","schema_version":"1.0","canonical_sha256":"887d310d2cbcc5807ee2a383a88c0e3e2be330da5a647776e02842e9b0cba14c","source":{"kind":"arxiv","id":"2109.06708","version":1},"attestation_state":"computed","paper":{"title":"Carroll contractions of Lorentz-invariant theories","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Marc Henneaux, Patricio Salgado-Rebolledo","submitted_at":"2021-09-14T14:14:45Z","abstract_excerpt":"We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that just as in the case of electromagnetism, there are two inequivalent limits, one \"electric\" and the other \"magnetic\". Each can be obtained from the corresponding Lorentz-invariant theory written in Hamiltonian form through the same \"contraction\" procedure of taking the ultrarelativistic limit $c \\rightarrow 0$ where $c$ is the speed of light, but with two different consistent rescalings of the canonical variables. This procedure can be applied to general Lorentz-invariant theories ($p$-form gauge fields, high"},"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":"2109.06708","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2021-09-14T14:14:45Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"ee32f8b6759f6b1b2d236e23d15be2453a6069a13b34d117e049c8ae1cc7df23","abstract_canon_sha256":"6bb41e0b4b633f3d9088baeacb479f61da7120b4c6e2b17c86621f1f39301dc5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:38:33.523734Z","signature_b64":"dRZYD3E0pr5rOADacWqqrJiina+OLJLyGXqBpgADAVTu3GGAAPt1BfRa8WHYAurI4g5O3B3OeocrhWSf68ehBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"887d310d2cbcc5807ee2a383a88c0e3e2be330da5a647776e02842e9b0cba14c","last_reissued_at":"2026-07-05T03:38:33.523228Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:38:33.523228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Carroll contractions of Lorentz-invariant theories","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Marc Henneaux, Patricio Salgado-Rebolledo","submitted_at":"2021-09-14T14:14:45Z","abstract_excerpt":"We consider Carroll-invariant limits of Lorentz-invariant field theories. We show that just as in the case of electromagnetism, there are two inequivalent limits, one \"electric\" and the other \"magnetic\". Each can be obtained from the corresponding Lorentz-invariant theory written in Hamiltonian form through the same \"contraction\" procedure of taking the ultrarelativistic limit $c \\rightarrow 0$ where $c$ is the speed of light, but with two different consistent rescalings of the canonical variables. This procedure can be applied to general Lorentz-invariant theories ($p$-form gauge fields, high"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.06708","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.06708/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":"2109.06708","created_at":"2026-07-05T03:38:33.523286+00:00"},{"alias_kind":"arxiv_version","alias_value":"2109.06708v1","created_at":"2026-07-05T03:38:33.523286+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.06708","created_at":"2026-07-05T03:38:33.523286+00:00"},{"alias_kind":"pith_short_12","alias_value":"RB6TCDJMXTCY","created_at":"2026-07-05T03:38:33.523286+00:00"},{"alias_kind":"pith_short_16","alias_value":"RB6TCDJMXTCYA7XC","created_at":"2026-07-05T03:38:33.523286+00:00"},{"alias_kind":"pith_short_8","alias_value":"RB6TCDJM","created_at":"2026-07-05T03:38:33.523286+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":21,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.06826","citing_title":"BMS$_3$ invariant field theories","ref_index":42,"is_internal_anchor":true},{"citing_arxiv_id":"2607.08329","citing_title":"Carroll supergravities","ref_index":3,"is_internal_anchor":true},{"citing_arxiv_id":"2604.22745","citing_title":"Carrollian quantum states and flat space holography","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2606.22050","citing_title":"Hamiltonian formulation of Carrollian Maxwell theory in Deformed Light-cone Kaluza-Klein-like Null reduction","ref_index":30,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19112","citing_title":"Post-Carroll Algebra, Conformal Extensions, and Field Theories","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2606.19112","citing_title":"Post-Carroll Algebra, Conformal Extensions, and Field Theories","ref_index":49,"is_internal_anchor":false},{"citing_arxiv_id":"2606.05303","citing_title":"Krylov Complexity: Flat bands and Carroll breaking deformations","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15269","citing_title":"Kerroll black holes","ref_index":58,"is_internal_anchor":false},{"citing_arxiv_id":"2606.29587","citing_title":"Asymptotic boundary structure of Lagrangian gauge theories","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2605.25817","citing_title":"Null Strings Gauged and Reloaded, I: Null Strings Have Carroll-Weyl Gauge Symmetry","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2202.04702","citing_title":"Carrollian Perspective on Celestial Holography","ref_index":67,"is_internal_anchor":false},{"citing_arxiv_id":"2503.15607","citing_title":"Operator Product Expansion in Carrollian CFT","ref_index":28,"is_internal_anchor":false},{"citing_arxiv_id":"2605.15269","citing_title":"Kerroll black holes","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2506.16164","citing_title":"The Carrollian Kaleidoscope","ref_index":65,"is_internal_anchor":false},{"citing_arxiv_id":"2507.18351","citing_title":"Probing metric fluctuations with the spin of a particle in a quantum simulation","ref_index":21,"is_internal_anchor":false},{"citing_arxiv_id":"2510.16104","citing_title":"Strings near BTZ black holes: A Carrollian Chronicle","ref_index":60,"is_internal_anchor":false},{"citing_arxiv_id":"2601.15376","citing_title":"On $\\sqrt{T\\overline{T}}$ deformed pathways: CFT to CCFT","ref_index":52,"is_internal_anchor":false},{"citing_arxiv_id":"2603.28269","citing_title":"A Twisted Origin for Magnetic Carroll Supersymmetry","ref_index":38,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22745","citing_title":"Carrollian quantum states and flat space holography","ref_index":33,"is_internal_anchor":false},{"citing_arxiv_id":"2605.05334","citing_title":"Carroll fermions from null reduction: A case of good and bad fermions","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14301","citing_title":"Carroll fermions, expansions and the lightcone","ref_index":46,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY","json":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY.json","graph_json":"https://pith.science/api/pith-number/RB6TCDJMXTCYA7XCUOB2RDAOHY/graph.json","events_json":"https://pith.science/api/pith-number/RB6TCDJMXTCYA7XCUOB2RDAOHY/events.json","paper":"https://pith.science/paper/RB6TCDJM"},"agent_actions":{"view_html":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY","download_json":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY.json","view_paper":"https://pith.science/paper/RB6TCDJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2109.06708&json=true","fetch_graph":"https://pith.science/api/pith-number/RB6TCDJMXTCYA7XCUOB2RDAOHY/graph.json","fetch_events":"https://pith.science/api/pith-number/RB6TCDJMXTCYA7XCUOB2RDAOHY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY/action/storage_attestation","attest_author":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY/action/author_attestation","sign_citation":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY/action/citation_signature","submit_replication":"https://pith.science/pith/RB6TCDJMXTCYA7XCUOB2RDAOHY/action/replication_record"}},"created_at":"2026-07-05T03:38:33.523286+00:00","updated_at":"2026-07-05T03:38:33.523286+00:00"}