{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:L6MUPBQ5JOLDZ26SWLLQEWPXNI","short_pith_number":"pith:L6MUPBQ5","canonical_record":{"source":{"id":"2412.11718","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","cross_cats_sorted":[],"title_canon_sha256":"b986bca27e651decd36d044190e177ee1f3501eaa99696959d80aa64d944f41b","abstract_canon_sha256":"f9914d8ad4fbf6ff10ba8d42967478ef8a5e4ad9bdc3c4e25d7d66a551e28076"},"schema_version":"1.0"},"canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","source":{"kind":"arxiv","id":"2412.11718","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11718","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11718v1","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11718","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_12","alias_value":"L6MUPBQ5JOLD","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_16","alias_value":"L6MUPBQ5JOLDZ26S","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_8","alias_value":"L6MUPBQ5","created_at":"2026-07-05T09:49:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:L6MUPBQ5JOLDZ26SWLLQEWPXNI","target":"record","payload":{"canonical_record":{"source":{"id":"2412.11718","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","cross_cats_sorted":[],"title_canon_sha256":"b986bca27e651decd36d044190e177ee1f3501eaa99696959d80aa64d944f41b","abstract_canon_sha256":"f9914d8ad4fbf6ff10ba8d42967478ef8a5e4ad9bdc3c4e25d7d66a551e28076"},"schema_version":"1.0"},"canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:49:50.648427Z","signature_b64":"reflNChU6piNjYCfXlHEDgkuikAnC3LUXIJPL4zQdpCOCKhTxMXyJubLJd3wGYzVXImZmZzDqRaIccWb7d96AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","last_reissued_at":"2026-07-05T09:49:50.647888Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:49:50.647888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.11718","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":"2026-07-05T09:49:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dam8q7T5IFjA+rcSLgsRHfHxBMA0E2f4gnyEVDn0aaJmp/Civqhn3z7kQ282Xgx6BrWcubEcSW5zKy8z7strBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:53:31.013027Z"},"content_sha256":"81cdbc1311981e52b987956a800e23f860065a0b48b109a1177bb9dc0be9769e","schema_version":"1.0","event_id":"sha256:81cdbc1311981e52b987956a800e23f860065a0b48b109a1177bb9dc0be9769e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:L6MUPBQ5JOLDZ26SWLLQEWPXNI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On topological defects in Chern-Simons theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alex S. Arvanitakis, Daniel C. Thompson, Lewis T. Cole, Saskia Demulder","submitted_at":"2024-12-16T12:39:20Z","abstract_excerpt":"We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11718","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/2412.11718/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":"2026-07-05T09:49:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qtwkpNeIz63yLDhsyw9TpYJX5c1ZliV+9SJq9M1uUU22cLKe5Za+aaG0FDbbGuE8IZF+CD27NaXV2NDFiA95Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T05:53:31.013933Z"},"content_sha256":"b3c265fdad3751d2bcc68213a93a6dd24d9898650a4d766c8bf7bf544048f707","schema_version":"1.0","event_id":"sha256:b3c265fdad3751d2bcc68213a93a6dd24d9898650a4d766c8bf7bf544048f707"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/bundle.json","state_url":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/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":"2026-08-12T05:53:31Z","links":{"resolver":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI","bundle":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/bundle.json","state":"https://pith.science/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L6MUPBQ5JOLDZ26SWLLQEWPXNI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L6MUPBQ5JOLDZ26SWLLQEWPXNI","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":"f9914d8ad4fbf6ff10ba8d42967478ef8a5e4ad9bdc3c4e25d7d66a551e28076","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","title_canon_sha256":"b986bca27e651decd36d044190e177ee1f3501eaa99696959d80aa64d944f41b"},"schema_version":"1.0","source":{"id":"2412.11718","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.11718","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"arxiv_version","alias_value":"2412.11718v1","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.11718","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_12","alias_value":"L6MUPBQ5JOLD","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_16","alias_value":"L6MUPBQ5JOLDZ26S","created_at":"2026-07-05T09:49:50Z"},{"alias_kind":"pith_short_8","alias_value":"L6MUPBQ5","created_at":"2026-07-05T09:49:50Z"}],"graph_snapshots":[{"event_id":"sha256:b3c265fdad3751d2bcc68213a93a6dd24d9898650a4d766c8bf7bf544048f707","target":"graph","created_at":"2026-07-05T09:49:50Z","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/2412.11718/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a new class of topological surface defects in Chern-Simons theory with non-compact, non-Abelian gauge groups. These defects are characterized by isotropic subalgebras defined by solutions of the modified classical Yang-Baxter equation, and their fusion realizes a semi-group structure with non-invertible elements. From a Hamiltonian perspective, we calculate this fusion using the composition of Lagrangian correspondences within the Weinstein symplectic category. Applications include boundary terms and conditions in $AdS_3$ gravity and higher-spin theories.","authors_text":"Alex S. Arvanitakis, Daniel C. Thompson, Lewis T. Cole, Saskia Demulder","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","title":"On topological defects in Chern-Simons theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.11718","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":"sha256:81cdbc1311981e52b987956a800e23f860065a0b48b109a1177bb9dc0be9769e","target":"record","created_at":"2026-07-05T09:49:50Z","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":"f9914d8ad4fbf6ff10ba8d42967478ef8a5e4ad9bdc3c4e25d7d66a551e28076","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-16T12:39:20Z","title_canon_sha256":"b986bca27e651decd36d044190e177ee1f3501eaa99696959d80aa64d944f41b"},"schema_version":"1.0","source":{"id":"2412.11718","kind":"arxiv","version":1}},"canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5f9947861d4b963cebd2b2d70259f76a3ed7a1a269f2e63fc70bbffac037170a","first_computed_at":"2026-07-05T09:49:50.647888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:49:50.647888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"reflNChU6piNjYCfXlHEDgkuikAnC3LUXIJPL4zQdpCOCKhTxMXyJubLJd3wGYzVXImZmZzDqRaIccWb7d96AQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:49:50.648427Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.11718","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:81cdbc1311981e52b987956a800e23f860065a0b48b109a1177bb9dc0be9769e","sha256:b3c265fdad3751d2bcc68213a93a6dd24d9898650a4d766c8bf7bf544048f707"],"state_sha256":"1c41e1549003ce78f7ebc9c0486d76c29d2419c0ead6181dc18803264283dfb5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YmJKN1BkUk+HyimmG/LNB2cfoFHm3SnSuF/honJdWopjJ+0lstG6A0/vB+LjqahzM6QhKZnhaOh9E6YFOjqTBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T05:53:31.020775Z","bundle_sha256":"b3c888b647da762b99755be0de860d095a25c39ebebc93b513c92affd792ab2c"}}