{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EAEJ3CDGDFZBSPHWDWUFQJILOC","short_pith_number":"pith:EAEJ3CDG","canonical_record":{"source":{"id":"2607.25387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T07:46:12Z","cross_cats_sorted":[],"title_canon_sha256":"5ae86e09b65a3bbb7239164a360acca40b5e6e88d5c433c9b5d00ad91078a71e","abstract_canon_sha256":"4d9d2d1bf809ac6e264d9f7d81462b1bf036c995bda935c2e286bd4c25bb6952"},"schema_version":"1.0"},"canonical_sha256":"20089d88661972193cf61da858250b709e0ab802020716fedd2ff83a34bf6868","source":{"kind":"arxiv","id":"2607.25387","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25387","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25387v1","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25387","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"EAEJ3CDGDFZB","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_16","alias_value":"EAEJ3CDGDFZBSPHW","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_8","alias_value":"EAEJ3CDG","created_at":"2026-07-29T01:25:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EAEJ3CDGDFZBSPHWDWUFQJILOC","target":"record","payload":{"canonical_record":{"source":{"id":"2607.25387","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T07:46:12Z","cross_cats_sorted":[],"title_canon_sha256":"5ae86e09b65a3bbb7239164a360acca40b5e6e88d5c433c9b5d00ad91078a71e","abstract_canon_sha256":"4d9d2d1bf809ac6e264d9f7d81462b1bf036c995bda935c2e286bd4c25bb6952"},"schema_version":"1.0"},"canonical_sha256":"20089d88661972193cf61da858250b709e0ab802020716fedd2ff83a34bf6868","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:25:12.939541Z","signature_b64":"cBoo4Yx9rYZpx/7aW4MxO96q68LLxbFgY1YQdPTo9cXDCfU3j29qcene0V125Cifwjg42SW4J93J1KIW5whBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20089d88661972193cf61da858250b709e0ab802020716fedd2ff83a34bf6868","last_reissued_at":"2026-07-29T01:25:12.938746Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:25:12.938746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.25387","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":"2026-07-29T01:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"277sBmUYkjlZqO/4btSDsFKaRzQz/8YBZCTE4eX2D6yXKmWzFLENTooNz994dlCAXtIr42ObBnu7RTWADuHiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:15:04.112310Z"},"content_sha256":"b7fbeaf67d3231f8f7e877747e922eb2d41fd2c26bf67f27f905a72e66fe0c61","schema_version":"1.0","event_id":"sha256:b7fbeaf67d3231f8f7e877747e922eb2d41fd2c26bf67f27f905a72e66fe0c61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EAEJ3CDGDFZBSPHWDWUFQJILOC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Learned, Relied Upon, or Necessary? Separating Checkpoint Dependence from Task-Level Value in Sheaf GNNs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Yi Liu","submitted_at":"2026-07-28T07:46:12Z","abstract_excerpt":"Learned restriction maps in sheaf graph neural networks are often treated as proof that the model has discovered useful edge geometry. That conclusion does not follow from parameter movement or from a post-hoc ablation: both can show how one checkpoint is organized while leaving open whether learned transport still helps after the rest of the model adapts. We separate these claims with two estimands. Checkpoint reliance intervenes on the maps of a fixed predictor; protocol-relative replacement retrains matched families that remove map capacity, edge variation, or persistent edge assignment. A "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25387","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/2607.25387/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":"2026-07-29T01:25:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CRo/Oyu0cq4Y8Ova52R8eHf0MFvA0JsfDgT4bJHmssPlSWGClYU4GdB/uNYmYc4lpCBgyBHOJvb/Xdtzyd5yAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:15:04.112837Z"},"content_sha256":"9d97537c297d6559f2acb74e5b5b301e8eca37dd1ccd9a55ca3dda9fa0e977d9","schema_version":"1.0","event_id":"sha256:9d97537c297d6559f2acb74e5b5b301e8eca37dd1ccd9a55ca3dda9fa0e977d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/bundle.json","state_url":"https://pith.science/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/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":"2026-08-15T22:15:04Z","links":{"resolver":"https://pith.science/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC","bundle":"https://pith.science/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/bundle.json","state":"https://pith.science/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EAEJ3CDGDFZBSPHWDWUFQJILOC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EAEJ3CDGDFZBSPHWDWUFQJILOC","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":"4d9d2d1bf809ac6e264d9f7d81462b1bf036c995bda935c2e286bd4c25bb6952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T07:46:12Z","title_canon_sha256":"5ae86e09b65a3bbb7239164a360acca40b5e6e88d5c433c9b5d00ad91078a71e"},"schema_version":"1.0","source":{"id":"2607.25387","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.25387","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"arxiv_version","alias_value":"2607.25387v1","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.25387","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_12","alias_value":"EAEJ3CDGDFZB","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_16","alias_value":"EAEJ3CDGDFZBSPHW","created_at":"2026-07-29T01:25:12Z"},{"alias_kind":"pith_short_8","alias_value":"EAEJ3CDG","created_at":"2026-07-29T01:25:12Z"}],"graph_snapshots":[{"event_id":"sha256:9d97537c297d6559f2acb74e5b5b301e8eca37dd1ccd9a55ca3dda9fa0e977d9","target":"graph","created_at":"2026-07-29T01:25:12Z","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/2607.25387/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Learned restriction maps in sheaf graph neural networks are often treated as proof that the model has discovered useful edge geometry. That conclusion does not follow from parameter movement or from a post-hoc ablation: both can show how one checkpoint is organized while leaving open whether learned transport still helps after the rest of the model adapts. We separate these claims with two estimands. Checkpoint reliance intervenes on the maps of a fixed predictor; protocol-relative replacement retrains matched families that remove map capacity, edge variation, or persistent edge assignment. A ","authors_text":"Yi Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T07:46:12Z","title":"Learned, Relied Upon, or Necessary? Separating Checkpoint Dependence from Task-Level Value in Sheaf GNNs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.25387","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:b7fbeaf67d3231f8f7e877747e922eb2d41fd2c26bf67f27f905a72e66fe0c61","target":"record","created_at":"2026-07-29T01:25:12Z","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":"4d9d2d1bf809ac6e264d9f7d81462b1bf036c995bda935c2e286bd4c25bb6952","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2026-07-28T07:46:12Z","title_canon_sha256":"5ae86e09b65a3bbb7239164a360acca40b5e6e88d5c433c9b5d00ad91078a71e"},"schema_version":"1.0","source":{"id":"2607.25387","kind":"arxiv","version":1}},"canonical_sha256":"20089d88661972193cf61da858250b709e0ab802020716fedd2ff83a34bf6868","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"20089d88661972193cf61da858250b709e0ab802020716fedd2ff83a34bf6868","first_computed_at":"2026-07-29T01:25:12.938746Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T01:25:12.938746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cBoo4Yx9rYZpx/7aW4MxO96q68LLxbFgY1YQdPTo9cXDCfU3j29qcene0V125Cifwjg42SW4J93J1KIW5whBBA==","signature_status":"signed_v1","signed_at":"2026-07-29T01:25:12.939541Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.25387","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b7fbeaf67d3231f8f7e877747e922eb2d41fd2c26bf67f27f905a72e66fe0c61","sha256:9d97537c297d6559f2acb74e5b5b301e8eca37dd1ccd9a55ca3dda9fa0e977d9"],"state_sha256":"5e8d040c4cefbd89d92f09f85d8295574974bb276df9eb50581d29add27c3545"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F04XlLWF1KQfOIRHYEnHmyO1BKKKjl0nk+WErSlsoPnY24zeAoC5M3vsI0CM6iDS67zIC2ZRL53H+BBiudOHDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T22:15:04.117274Z","bundle_sha256":"7e036c21ac264ce57bb4593eefdc1445498dbe0580225992cba813aba4272a39"}}