{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:B6QDQUEFH5NWADXH6AV6ZR6KKT","short_pith_number":"pith:B6QDQUEF","schema_version":"1.0","canonical_sha256":"0fa03850853f5b600ee7f02becc7ca54d51be8b5c28d692bb17e5973841586de","source":{"kind":"arxiv","id":"1703.10541","version":2},"attestation_state":"computed","paper":{"title":"2D gravitational Mabuchi action on Riemann surfaces with boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adel Bilal, Corinne de Lacroix","submitted_at":"2017-03-30T15:49:40Z","abstract_excerpt":"We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a Riemann surface with boundaries. A small-mass expansion gives back the Liouville action in the massless limit, while the first-order mass correction allows us to identify what should be the appropriate generalization of the Mabuchi action on a Riemann surface with boundaries. We provide a detailed study for the example of the cylinder. Contrary to the case of manifolds without boundary, we find that the gravitational Lagrangian explicitly depends on the space-point, via the geode"},"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":"1703.10541","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-03-30T15:49:40Z","cross_cats_sorted":[],"title_canon_sha256":"892671d0025329600a975b4b8e0d783bddf8ef7af5ead778d1adccf7b6ad95b3","abstract_canon_sha256":"f244fc5c5225e8a349b5b3a88a7a510b46954d1815d5674d7ffd1d9b6870e478"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:58.363021Z","signature_b64":"+byx6CaOUfZPUU+AA0Z5AvNcxQQx866c3suEcKheEjZchSnTkZTiJguFUwrVwAGlI44J5Oq8tir0G+XtBIYCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fa03850853f5b600ee7f02becc7ca54d51be8b5c28d692bb17e5973841586de","last_reissued_at":"2026-05-18T00:25:58.362291Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:58.362291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"2D gravitational Mabuchi action on Riemann surfaces with boundaries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Adel Bilal, Corinne de Lacroix","submitted_at":"2017-03-30T15:49:40Z","abstract_excerpt":"We study the gravitational action induced by coupling two-dimensional non-conformal, massive matter to gravity on a Riemann surface with boundaries. A small-mass expansion gives back the Liouville action in the massless limit, while the first-order mass correction allows us to identify what should be the appropriate generalization of the Mabuchi action on a Riemann surface with boundaries. We provide a detailed study for the example of the cylinder. Contrary to the case of manifolds without boundary, we find that the gravitational Lagrangian explicitly depends on the space-point, via the geode"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.10541","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1703.10541","created_at":"2026-05-18T00:25:58.362430+00:00"},{"alias_kind":"arxiv_version","alias_value":"1703.10541v2","created_at":"2026-05-18T00:25:58.362430+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.10541","created_at":"2026-05-18T00:25:58.362430+00:00"},{"alias_kind":"pith_short_12","alias_value":"B6QDQUEFH5NW","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_16","alias_value":"B6QDQUEFH5NWADXH","created_at":"2026-05-18T12:31:08.081275+00:00"},{"alias_kind":"pith_short_8","alias_value":"B6QDQUEF","created_at":"2026-05-18T12:31:08.081275+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT","json":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT.json","graph_json":"https://pith.science/api/pith-number/B6QDQUEFH5NWADXH6AV6ZR6KKT/graph.json","events_json":"https://pith.science/api/pith-number/B6QDQUEFH5NWADXH6AV6ZR6KKT/events.json","paper":"https://pith.science/paper/B6QDQUEF"},"agent_actions":{"view_html":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT","download_json":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT.json","view_paper":"https://pith.science/paper/B6QDQUEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1703.10541&json=true","fetch_graph":"https://pith.science/api/pith-number/B6QDQUEFH5NWADXH6AV6ZR6KKT/graph.json","fetch_events":"https://pith.science/api/pith-number/B6QDQUEFH5NWADXH6AV6ZR6KKT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT/action/storage_attestation","attest_author":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT/action/author_attestation","sign_citation":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT/action/citation_signature","submit_replication":"https://pith.science/pith/B6QDQUEFH5NWADXH6AV6ZR6KKT/action/replication_record"}},"created_at":"2026-05-18T00:25:58.362430+00:00","updated_at":"2026-05-18T00:25:58.362430+00:00"}