{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:57RQO4Y3JNTCRFOABS2NKFDXRU","short_pith_number":"pith:57RQO4Y3","canonical_record":{"source":{"id":"2505.12769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-05-19T06:50:18Z","cross_cats_sorted":[],"title_canon_sha256":"c5499b76fb10a2c96e0d7bbdce34b828d22e6bc03ec498cef4d44015c6112fad","abstract_canon_sha256":"8d219c56480b2b445c58940c7356e2c19c1708491fbae27340da9cb04c164254"},"schema_version":"1.0"},"canonical_sha256":"efe307731b4b662895c00cb4d514778d2f2ef60e5b3daaf395bdd1f69eaabc51","source":{"kind":"arxiv","id":"2505.12769","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.12769","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"2505.12769v3","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12769","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"57RQO4Y3JNTC","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_16","alias_value":"57RQO4Y3JNTCRFOA","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_8","alias_value":"57RQO4Y3","created_at":"2026-06-23T02:12:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:57RQO4Y3JNTCRFOABS2NKFDXRU","target":"record","payload":{"canonical_record":{"source":{"id":"2505.12769","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-05-19T06:50:18Z","cross_cats_sorted":[],"title_canon_sha256":"c5499b76fb10a2c96e0d7bbdce34b828d22e6bc03ec498cef4d44015c6112fad","abstract_canon_sha256":"8d219c56480b2b445c58940c7356e2c19c1708491fbae27340da9cb04c164254"},"schema_version":"1.0"},"canonical_sha256":"efe307731b4b662895c00cb4d514778d2f2ef60e5b3daaf395bdd1f69eaabc51","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-23T02:12:31.840746Z","signature_b64":"PSv1gsXyQiLAKghsV4Oqr4+zNAt7pYXMUbqxrtjNMjlSkNycu1HTiYfg+pSRYtFt+CF1P8Cuwp0OaLtA09DlAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"efe307731b4b662895c00cb4d514778d2f2ef60e5b3daaf395bdd1f69eaabc51","last_reissued_at":"2026-06-23T02:12:31.840263Z","signature_status":"signed_v1","first_computed_at":"2026-06-23T02:12:31.840263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.12769","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-23T02:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3lUhtUN4tndNmBJ5im9XtLcfw5wrIIqU4Ml0rNrR7dbWkc1fLT+HdweALPeWqBxuKmO392vUCR0v5ZgkKPPhCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:44:38.282710Z"},"content_sha256":"f9df08acf1cda4ac305ab32116faf33a28225347b5e410dfc0c3be35a8869967","schema_version":"1.0","event_id":"sha256:f9df08acf1cda4ac305ab32116faf33a28225347b5e410dfc0c3be35a8869967"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:57RQO4Y3JNTCRFOABS2NKFDXRU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Decomposition theorems for unital graph C*-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OA","authors_text":"Guillaume Bellier, Tatiana Shulman","submitted_at":"2025-05-19T06:50:18Z","abstract_excerpt":"We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12769","kind":"arxiv","version":3},"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/2505.12769/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":"2026-06-23T02:12:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yMj8EwrOw7qHqZXUfXyiuXWhf6SkbnjLhDADw/3MiCJxlQbO/gtDTC4PstfPzbZil1D8Iq+vjjwWaFGoXAZSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:44:38.283198Z"},"content_sha256":"1c51b97363b8314197f17dff2a90cfaaca6f7fdde17da5f422f05b270774f390","schema_version":"1.0","event_id":"sha256:1c51b97363b8314197f17dff2a90cfaaca6f7fdde17da5f422f05b270774f390"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/bundle.json","state_url":"https://pith.science/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/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":"2026-08-03T19:44:38Z","links":{"resolver":"https://pith.science/pith/57RQO4Y3JNTCRFOABS2NKFDXRU","bundle":"https://pith.science/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/bundle.json","state":"https://pith.science/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/57RQO4Y3JNTCRFOABS2NKFDXRU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:57RQO4Y3JNTCRFOABS2NKFDXRU","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":"8d219c56480b2b445c58940c7356e2c19c1708491fbae27340da9cb04c164254","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-05-19T06:50:18Z","title_canon_sha256":"c5499b76fb10a2c96e0d7bbdce34b828d22e6bc03ec498cef4d44015c6112fad"},"schema_version":"1.0","source":{"id":"2505.12769","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.12769","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"arxiv_version","alias_value":"2505.12769v3","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.12769","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_12","alias_value":"57RQO4Y3JNTC","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_16","alias_value":"57RQO4Y3JNTCRFOA","created_at":"2026-06-23T02:12:31Z"},{"alias_kind":"pith_short_8","alias_value":"57RQO4Y3","created_at":"2026-06-23T02:12:31Z"}],"graph_snapshots":[{"event_id":"sha256:1c51b97363b8314197f17dff2a90cfaaca6f7fdde17da5f422f05b270774f390","target":"graph","created_at":"2026-06-23T02:12:31Z","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/2505.12769/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective).","authors_text":"Guillaume Bellier, Tatiana Shulman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-05-19T06:50:18Z","title":"Decomposition theorems for unital graph C*-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.12769","kind":"arxiv","version":3},"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:f9df08acf1cda4ac305ab32116faf33a28225347b5e410dfc0c3be35a8869967","target":"record","created_at":"2026-06-23T02:12:31Z","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":"8d219c56480b2b445c58940c7356e2c19c1708491fbae27340da9cb04c164254","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2025-05-19T06:50:18Z","title_canon_sha256":"c5499b76fb10a2c96e0d7bbdce34b828d22e6bc03ec498cef4d44015c6112fad"},"schema_version":"1.0","source":{"id":"2505.12769","kind":"arxiv","version":3}},"canonical_sha256":"efe307731b4b662895c00cb4d514778d2f2ef60e5b3daaf395bdd1f69eaabc51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"efe307731b4b662895c00cb4d514778d2f2ef60e5b3daaf395bdd1f69eaabc51","first_computed_at":"2026-06-23T02:12:31.840263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T02:12:31.840263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PSv1gsXyQiLAKghsV4Oqr4+zNAt7pYXMUbqxrtjNMjlSkNycu1HTiYfg+pSRYtFt+CF1P8Cuwp0OaLtA09DlAw==","signature_status":"signed_v1","signed_at":"2026-06-23T02:12:31.840746Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.12769","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9df08acf1cda4ac305ab32116faf33a28225347b5e410dfc0c3be35a8869967","sha256:1c51b97363b8314197f17dff2a90cfaaca6f7fdde17da5f422f05b270774f390"],"state_sha256":"d0690a5d1903a8c609dc040f0926a9601f4066ed4b9926caaa4b391a0477de22"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3vWAcCqsVUuX3ZiffSthxYVwm3Xn73NXrnHy/Y9gQDXU7uF+MMxxEVNn2a2JNFS4Q0bbNSWdSTkbBVQEM8bqAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:44:38.288491Z","bundle_sha256":"0a872b9bef35e897cc762a7e550616f5b18f7375b410260c497fc9f5947ae69f"}}