{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:BE65XCVS7IDCJVR2EHRZSODD6X","short_pith_number":"pith:BE65XCVS","canonical_record":{"source":{"id":"2606.27485","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-25T19:08:12Z","cross_cats_sorted":[],"title_canon_sha256":"6c993c8e3bb1d1523db013167c81bcb5c2bd78e21e32e65a1b5f7421be02f0e7","abstract_canon_sha256":"4df2b19905bf0226d8d982aefe483401e554aaeea914b426e4b2bb68de7d119c"},"schema_version":"1.0"},"canonical_sha256":"093ddb8ab2fa0624d63a21e3993863f5da62b5ae2a85257c17d278198de91a84","source":{"kind":"arxiv","id":"2606.27485","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27485","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27485v1","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27485","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"BE65XCVS7IDC","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_16","alias_value":"BE65XCVS7IDCJVR2","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_8","alias_value":"BE65XCVS","created_at":"2026-06-29T00:14:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:BE65XCVS7IDCJVR2EHRZSODD6X","target":"record","payload":{"canonical_record":{"source":{"id":"2606.27485","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-25T19:08:12Z","cross_cats_sorted":[],"title_canon_sha256":"6c993c8e3bb1d1523db013167c81bcb5c2bd78e21e32e65a1b5f7421be02f0e7","abstract_canon_sha256":"4df2b19905bf0226d8d982aefe483401e554aaeea914b426e4b2bb68de7d119c"},"schema_version":"1.0"},"canonical_sha256":"093ddb8ab2fa0624d63a21e3993863f5da62b5ae2a85257c17d278198de91a84","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-29T00:14:07.983200Z","signature_b64":"34+9UCR+hsEdzeuGzgX2YeNNm3ZilVpUrN81GyvwxHfYi+rTluqeib0EEfMpWsMRzOETPpjFz4xXUahwuaj8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"093ddb8ab2fa0624d63a21e3993863f5da62b5ae2a85257c17d278198de91a84","last_reissued_at":"2026-06-29T00:14:07.982789Z","signature_status":"signed_v1","first_computed_at":"2026-06-29T00:14:07.982789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.27485","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":"2026-06-29T00:14:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HPi6J6I6rudzDfI5HIFXHP0TubKBrW1WZewW3Mrqg7hYaPr6O+ASJzSIZ7JUsv/irbjSzYyC9FBmLtJEj+sjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:24:11.229113Z"},"content_sha256":"de64111dfc154f25b632f2049cb55e165a0f2f497174ce6c5fbcc1b1e51c7eb3","schema_version":"1.0","event_id":"sha256:de64111dfc154f25b632f2049cb55e165a0f2f497174ce6c5fbcc1b1e51c7eb3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:BE65XCVS7IDCJVR2EHRZSODD6X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Contact cosmetic surgery on Legendrian knots in integer homology sphere $L$-spaces","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Apratim Chakraborty, Swarup Kumar Das, Tanushree Shah","submitted_at":"2026-06-25T19:08:12Z","abstract_excerpt":"We extend the study of contact cosmetic surgeries to Legendrian knots in integer homology sphere L-spaces . We prove that the contact cosmetic surgery conjecture holds for all non-trivial Legendrian knots in this setting, with the possible exception of Lagrangian slice knots. Our argument adapts and refines techniques from the S3 case to the broader context of L-spaces, incorporating constraints arising from Heegaard Floer theory"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27485","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/2606.27485/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":"2026-06-29T00:14:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nZzg/LPZgyUIaBowzDxekC6yVI0vmjRC5qzPphGVckr8+fsMEcZvwPM6OLmUnjAI4QOFplUs4BJ8s8mAQCpHCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:24:11.229556Z"},"content_sha256":"23ce35e458f95c62efcc302016e45a69ea055ea513235e58c93a2487fd06982f","schema_version":"1.0","event_id":"sha256:23ce35e458f95c62efcc302016e45a69ea055ea513235e58c93a2487fd06982f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BE65XCVS7IDCJVR2EHRZSODD6X/bundle.json","state_url":"https://pith.science/pith/BE65XCVS7IDCJVR2EHRZSODD6X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BE65XCVS7IDCJVR2EHRZSODD6X/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":"2026-06-29T15:24:11Z","links":{"resolver":"https://pith.science/pith/BE65XCVS7IDCJVR2EHRZSODD6X","bundle":"https://pith.science/pith/BE65XCVS7IDCJVR2EHRZSODD6X/bundle.json","state":"https://pith.science/pith/BE65XCVS7IDCJVR2EHRZSODD6X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BE65XCVS7IDCJVR2EHRZSODD6X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:BE65XCVS7IDCJVR2EHRZSODD6X","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":"4df2b19905bf0226d8d982aefe483401e554aaeea914b426e4b2bb68de7d119c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-25T19:08:12Z","title_canon_sha256":"6c993c8e3bb1d1523db013167c81bcb5c2bd78e21e32e65a1b5f7421be02f0e7"},"schema_version":"1.0","source":{"id":"2606.27485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.27485","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.27485v1","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.27485","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"BE65XCVS7IDC","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_16","alias_value":"BE65XCVS7IDCJVR2","created_at":"2026-06-29T00:14:07Z"},{"alias_kind":"pith_short_8","alias_value":"BE65XCVS","created_at":"2026-06-29T00:14:07Z"}],"graph_snapshots":[{"event_id":"sha256:23ce35e458f95c62efcc302016e45a69ea055ea513235e58c93a2487fd06982f","target":"graph","created_at":"2026-06-29T00:14:07Z","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/2606.27485/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend the study of contact cosmetic surgeries to Legendrian knots in integer homology sphere L-spaces . We prove that the contact cosmetic surgery conjecture holds for all non-trivial Legendrian knots in this setting, with the possible exception of Lagrangian slice knots. Our argument adapts and refines techniques from the S3 case to the broader context of L-spaces, incorporating constraints arising from Heegaard Floer theory","authors_text":"Apratim Chakraborty, Swarup Kumar Das, Tanushree Shah","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-25T19:08:12Z","title":"Contact cosmetic surgery on Legendrian knots in integer homology sphere $L$-spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.27485","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:de64111dfc154f25b632f2049cb55e165a0f2f497174ce6c5fbcc1b1e51c7eb3","target":"record","created_at":"2026-06-29T00:14:07Z","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":"4df2b19905bf0226d8d982aefe483401e554aaeea914b426e4b2bb68de7d119c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.GT","submitted_at":"2026-06-25T19:08:12Z","title_canon_sha256":"6c993c8e3bb1d1523db013167c81bcb5c2bd78e21e32e65a1b5f7421be02f0e7"},"schema_version":"1.0","source":{"id":"2606.27485","kind":"arxiv","version":1}},"canonical_sha256":"093ddb8ab2fa0624d63a21e3993863f5da62b5ae2a85257c17d278198de91a84","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"093ddb8ab2fa0624d63a21e3993863f5da62b5ae2a85257c17d278198de91a84","first_computed_at":"2026-06-29T00:14:07.982789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-29T00:14:07.982789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"34+9UCR+hsEdzeuGzgX2YeNNm3ZilVpUrN81GyvwxHfYi+rTluqeib0EEfMpWsMRzOETPpjFz4xXUahwuaj8Bg==","signature_status":"signed_v1","signed_at":"2026-06-29T00:14:07.983200Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.27485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de64111dfc154f25b632f2049cb55e165a0f2f497174ce6c5fbcc1b1e51c7eb3","sha256:23ce35e458f95c62efcc302016e45a69ea055ea513235e58c93a2487fd06982f"],"state_sha256":"66218e0f0cd26bceabe64af6960d9e87a1c48ecac23cf5fa1f041600dd9285aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"POcsV1jCxzU2IY70rmrL+1T/OvBtUDfprY5mE6Hokz3zTrApgSjUcYkdWqtE8vg2kWzNl2fCR4dGRUpmy6akCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T15:24:11.231677Z","bundle_sha256":"45bc124fb071bb451424d2362982336d911f8dde1f752540dc351c9b3613118c"}}