{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2E3E7DOTM25JKDTGVMAZP5QUJG","short_pith_number":"pith:2E3E7DOT","canonical_record":{"source":{"id":"2607.10613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2026-07-12T07:18:02Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"5a504ebd37010808ecbeb3fd7234b04b8b338ff50f74f232a0dda31efe663eeb","abstract_canon_sha256":"b7ffd459ab27fdf31f3a117c664ce052ac83a086d13507b2de2f77d02b5a81f8"},"schema_version":"1.0"},"canonical_sha256":"d1364f8dd366ba950e66ab0197f614499f44b95efb37d8fa3484462e54330826","source":{"kind":"arxiv","id":"2607.10613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10613","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10613v1","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10613","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"2E3E7DOTM25J","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_16","alias_value":"2E3E7DOTM25JKDTG","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_8","alias_value":"2E3E7DOT","created_at":"2026-07-14T01:21:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2E3E7DOTM25JKDTGVMAZP5QUJG","target":"record","payload":{"canonical_record":{"source":{"id":"2607.10613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2026-07-12T07:18:02Z","cross_cats_sorted":["stat.ME"],"title_canon_sha256":"5a504ebd37010808ecbeb3fd7234b04b8b338ff50f74f232a0dda31efe663eeb","abstract_canon_sha256":"b7ffd459ab27fdf31f3a117c664ce052ac83a086d13507b2de2f77d02b5a81f8"},"schema_version":"1.0"},"canonical_sha256":"d1364f8dd366ba950e66ab0197f614499f44b95efb37d8fa3484462e54330826","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-14T01:21:23.953826Z","signature_b64":"7nYvo7PhtCL+sEZpvAhdiWwObng7y1GpSw6VoTSd0HkuwCmQM9XyGyXaNbnPRSHbI1d5jCU/hm8zbohchDGUAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1364f8dd366ba950e66ab0197f614499f44b95efb37d8fa3484462e54330826","last_reissued_at":"2026-07-14T01:21:23.953012Z","signature_status":"signed_v1","first_computed_at":"2026-07-14T01:21:23.953012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.10613","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":"2026-07-14T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"adJ+UErTyJstmn47mVBBcdjYzg8u76LgJ3xDU98ZaXkjaZ2bfigcl6tTLuQrIPGaAlnBcXnBBLQJYWawMR7PBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:12:38.574229Z"},"content_sha256":"18617cbf2f1cc08b917a7eff54038eef47832e6fc27c8e3dc80e7cdf496af113","schema_version":"1.0","event_id":"sha256:18617cbf2f1cc08b917a7eff54038eef47832e6fc27c8e3dc80e7cdf496af113"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2E3E7DOTM25JKDTGVMAZP5QUJG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Network-Adjusted GMM Estimation under Network Uncertainty","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.ME"],"primary_cat":"econ.EM","authors_text":"Tadao Hoshino","submitted_at":"2026-07-12T07:18:02Z","abstract_excerpt":"This paper proposes a network-adjusted generalized method of moments (NA-GMM) estimator for social interaction models when the observed network may differ from the true interaction network. NA-GMM is a novel penalized GMM approach that allows the elements of the observed interaction matrix to be modified to improve the fit of the moment conditions. To avoid unrestricted network adjustments, the NA-GMM criterion introduces a penalty on the amount of adjustment. Since NA-GMM does not aim to estimate the true interaction network itself, the estimator generally converges to a pseudo-true parameter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10613","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/2607.10613/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":"2026-07-14T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4K5UxdahOzSL2PuFYzWYl80RFt3UgvrubRa3Fu01emmQE5eNNW9rO2u9ROHJIiwhABdUrsWzSS4au7WCUKDBAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T18:12:38.574919Z"},"content_sha256":"0edaf264b2eb01c4dfce7b48b0b840b00733ac5cf49c2d36617438ee1a0945e4","schema_version":"1.0","event_id":"sha256:0edaf264b2eb01c4dfce7b48b0b840b00733ac5cf49c2d36617438ee1a0945e4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/bundle.json","state_url":"https://pith.science/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/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":"2026-08-03T18:12:38Z","links":{"resolver":"https://pith.science/pith/2E3E7DOTM25JKDTGVMAZP5QUJG","bundle":"https://pith.science/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/bundle.json","state":"https://pith.science/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2E3E7DOTM25JKDTGVMAZP5QUJG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2E3E7DOTM25JKDTGVMAZP5QUJG","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":"b7ffd459ab27fdf31f3a117c664ce052ac83a086d13507b2de2f77d02b5a81f8","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2026-07-12T07:18:02Z","title_canon_sha256":"5a504ebd37010808ecbeb3fd7234b04b8b338ff50f74f232a0dda31efe663eeb"},"schema_version":"1.0","source":{"id":"2607.10613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.10613","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"2607.10613v1","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.10613","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"2E3E7DOTM25J","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_16","alias_value":"2E3E7DOTM25JKDTG","created_at":"2026-07-14T01:21:23Z"},{"alias_kind":"pith_short_8","alias_value":"2E3E7DOT","created_at":"2026-07-14T01:21:23Z"}],"graph_snapshots":[{"event_id":"sha256:0edaf264b2eb01c4dfce7b48b0b840b00733ac5cf49c2d36617438ee1a0945e4","target":"graph","created_at":"2026-07-14T01:21:23Z","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/2607.10613/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper proposes a network-adjusted generalized method of moments (NA-GMM) estimator for social interaction models when the observed network may differ from the true interaction network. NA-GMM is a novel penalized GMM approach that allows the elements of the observed interaction matrix to be modified to improve the fit of the moment conditions. To avoid unrestricted network adjustments, the NA-GMM criterion introduces a penalty on the amount of adjustment. Since NA-GMM does not aim to estimate the true interaction network itself, the estimator generally converges to a pseudo-true parameter","authors_text":"Tadao Hoshino","cross_cats":["stat.ME"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2026-07-12T07:18:02Z","title":"Network-Adjusted GMM Estimation under Network Uncertainty"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.10613","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":"sha256:18617cbf2f1cc08b917a7eff54038eef47832e6fc27c8e3dc80e7cdf496af113","target":"record","created_at":"2026-07-14T01:21:23Z","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":"b7ffd459ab27fdf31f3a117c664ce052ac83a086d13507b2de2f77d02b5a81f8","cross_cats_sorted":["stat.ME"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"econ.EM","submitted_at":"2026-07-12T07:18:02Z","title_canon_sha256":"5a504ebd37010808ecbeb3fd7234b04b8b338ff50f74f232a0dda31efe663eeb"},"schema_version":"1.0","source":{"id":"2607.10613","kind":"arxiv","version":1}},"canonical_sha256":"d1364f8dd366ba950e66ab0197f614499f44b95efb37d8fa3484462e54330826","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d1364f8dd366ba950e66ab0197f614499f44b95efb37d8fa3484462e54330826","first_computed_at":"2026-07-14T01:21:23.953012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T01:21:23.953012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7nYvo7PhtCL+sEZpvAhdiWwObng7y1GpSw6VoTSd0HkuwCmQM9XyGyXaNbnPRSHbI1d5jCU/hm8zbohchDGUAQ==","signature_status":"signed_v1","signed_at":"2026-07-14T01:21:23.953826Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.10613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:18617cbf2f1cc08b917a7eff54038eef47832e6fc27c8e3dc80e7cdf496af113","sha256:0edaf264b2eb01c4dfce7b48b0b840b00733ac5cf49c2d36617438ee1a0945e4"],"state_sha256":"80641f94e235fb98eab361f82fabedf2c00aa0693cbe52f9b592eb5373dc8376"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v1FiuSbt9uI/4N8n30vE4B3rAvr1PV9p2lqRLtsv3vPJqFkxFcMbJ5pH9DYksVNRxDGS6KpI1kyCN6p7VDZvBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T18:12:38.580356Z","bundle_sha256":"67b168fa66e29dc1a66602b1263068953085fcf2c1bfd37b890c3021f9faa7e8"}}