{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:CB3GGRMR4MZINFEV34LGTZKCR2","short_pith_number":"pith:CB3GGRMR","canonical_record":{"source":{"id":"2301.02545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-06T14:55:51Z","cross_cats_sorted":[],"title_canon_sha256":"85179ae0d8ea355342f1f688fa457d972e6363e8528b330df896e66fc0694b05","abstract_canon_sha256":"2b462471db6b6989d8ecaa69fef0e360b6b55c42c3ff27dbd165da91a4049eaf"},"schema_version":"1.0"},"canonical_sha256":"1076634591e332869495df1669e5428e97dbe1ce5dccd92bfeb72820638f5e1b","source":{"kind":"arxiv","id":"2301.02545","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02545","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02545v1","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02545","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_12","alias_value":"CB3GGRMR4MZI","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_16","alias_value":"CB3GGRMR4MZINFEV","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_8","alias_value":"CB3GGRMR","created_at":"2026-07-05T05:31:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:CB3GGRMR4MZINFEV34LGTZKCR2","target":"record","payload":{"canonical_record":{"source":{"id":"2301.02545","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-06T14:55:51Z","cross_cats_sorted":[],"title_canon_sha256":"85179ae0d8ea355342f1f688fa457d972e6363e8528b330df896e66fc0694b05","abstract_canon_sha256":"2b462471db6b6989d8ecaa69fef0e360b6b55c42c3ff27dbd165da91a4049eaf"},"schema_version":"1.0"},"canonical_sha256":"1076634591e332869495df1669e5428e97dbe1ce5dccd92bfeb72820638f5e1b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:31:07.749881Z","signature_b64":"S0fph8/5ZSOLWZAwY+gMyOJb+WRI1v1ZVvEtBpYe+WpjL+fnX7vWOw/fNUMjgJwrdGZhb2ljfgViP9gN3zfhDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1076634591e332869495df1669e5428e97dbe1ce5dccd92bfeb72820638f5e1b","last_reissued_at":"2026-07-05T05:31:07.749385Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:31:07.749385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2301.02545","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":"2026-07-05T05:31:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOGj5Kb3GC8ySzU7Vcqp8x/CtTl6F6oijzKHnUTPOf4mUckvlBTjxdSzZbkkKxiQkzrIi5sun39l3CFOAPnyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:38:13.826896Z"},"content_sha256":"91971f5806d3b36bcd7a650d9851de5f9d7c469a31490253e6776eced296b735","schema_version":"1.0","event_id":"sha256:91971f5806d3b36bcd7a650d9851de5f9d7c469a31490253e6776eced296b735"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:CB3GGRMR4MZINFEV34LGTZKCR2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A survey on toric degenerations of projective varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Lara Bossinger","submitted_at":"2023-01-06T14:55:51Z","abstract_excerpt":"In this survey I summarize the constructions of toric degenerations obtained from valuations and Gr\\\"obner theory and describe in which sense they are equivalent. I show how adapted bases can be used to generalize the classical Newton polytope to what is called a $\\mathbb B$-Newton polytope. The $\\mathbb B$-Newton polytope determines the Newton--Okounkov polytopes of all Khovanskii-finite valuations sharing the adapted standard monomial basis $\\mathbb B$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02545","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/2301.02545/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":"2026-07-05T05:31:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aF9CVLSFoBGwEVbbRRCiY/+GMoaFEDdKtoWGGaP+O+MYuE7Pnq0MPzHuqqsaDEDXE2hxiEeMnviYmlrx5H7gCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T01:38:13.827456Z"},"content_sha256":"456f8960864eb67440f1ba1e61a87d75e85236f2fd1856c03085fe59ee9de987","schema_version":"1.0","event_id":"sha256:456f8960864eb67440f1ba1e61a87d75e85236f2fd1856c03085fe59ee9de987"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CB3GGRMR4MZINFEV34LGTZKCR2/bundle.json","state_url":"https://pith.science/pith/CB3GGRMR4MZINFEV34LGTZKCR2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CB3GGRMR4MZINFEV34LGTZKCR2/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":"2026-08-09T01:38:13Z","links":{"resolver":"https://pith.science/pith/CB3GGRMR4MZINFEV34LGTZKCR2","bundle":"https://pith.science/pith/CB3GGRMR4MZINFEV34LGTZKCR2/bundle.json","state":"https://pith.science/pith/CB3GGRMR4MZINFEV34LGTZKCR2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CB3GGRMR4MZINFEV34LGTZKCR2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:CB3GGRMR4MZINFEV34LGTZKCR2","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":"2b462471db6b6989d8ecaa69fef0e360b6b55c42c3ff27dbd165da91a4049eaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-06T14:55:51Z","title_canon_sha256":"85179ae0d8ea355342f1f688fa457d972e6363e8528b330df896e66fc0694b05"},"schema_version":"1.0","source":{"id":"2301.02545","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.02545","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"arxiv_version","alias_value":"2301.02545v1","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.02545","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_12","alias_value":"CB3GGRMR4MZI","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_16","alias_value":"CB3GGRMR4MZINFEV","created_at":"2026-07-05T05:31:07Z"},{"alias_kind":"pith_short_8","alias_value":"CB3GGRMR","created_at":"2026-07-05T05:31:07Z"}],"graph_snapshots":[{"event_id":"sha256:456f8960864eb67440f1ba1e61a87d75e85236f2fd1856c03085fe59ee9de987","target":"graph","created_at":"2026-07-05T05:31:07Z","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/2301.02545/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this survey I summarize the constructions of toric degenerations obtained from valuations and Gr\\\"obner theory and describe in which sense they are equivalent. I show how adapted bases can be used to generalize the classical Newton polytope to what is called a $\\mathbb B$-Newton polytope. The $\\mathbb B$-Newton polytope determines the Newton--Okounkov polytopes of all Khovanskii-finite valuations sharing the adapted standard monomial basis $\\mathbb B$.","authors_text":"Lara Bossinger","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-06T14:55:51Z","title":"A survey on toric degenerations of projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.02545","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":"sha256:91971f5806d3b36bcd7a650d9851de5f9d7c469a31490253e6776eced296b735","target":"record","created_at":"2026-07-05T05:31:07Z","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":"2b462471db6b6989d8ecaa69fef0e360b6b55c42c3ff27dbd165da91a4049eaf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-01-06T14:55:51Z","title_canon_sha256":"85179ae0d8ea355342f1f688fa457d972e6363e8528b330df896e66fc0694b05"},"schema_version":"1.0","source":{"id":"2301.02545","kind":"arxiv","version":1}},"canonical_sha256":"1076634591e332869495df1669e5428e97dbe1ce5dccd92bfeb72820638f5e1b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1076634591e332869495df1669e5428e97dbe1ce5dccd92bfeb72820638f5e1b","first_computed_at":"2026-07-05T05:31:07.749385Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:31:07.749385Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S0fph8/5ZSOLWZAwY+gMyOJb+WRI1v1ZVvEtBpYe+WpjL+fnX7vWOw/fNUMjgJwrdGZhb2ljfgViP9gN3zfhDw==","signature_status":"signed_v1","signed_at":"2026-07-05T05:31:07.749881Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.02545","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91971f5806d3b36bcd7a650d9851de5f9d7c469a31490253e6776eced296b735","sha256:456f8960864eb67440f1ba1e61a87d75e85236f2fd1856c03085fe59ee9de987"],"state_sha256":"0c112168d2c6c2ed6528c087dfcbd11e899e065ccfa2b48ce895ece0a254562c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tgdsRtbosHAsmw8uTNgXK67faxyJEHeZj90i2BzfUDHgiDu2DgEXrLuvkZr2iL9XHwHg+gHGaw1qI075JFLFCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T01:38:13.832529Z","bundle_sha256":"8e8948b348a72eae2dbff8b116ee11ab492a515c382a894a92b32ede9ccf4e5f"}}