{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2NKPWPSSMMCM2U56UECMZQQFJJ","short_pith_number":"pith:2NKPWPSS","canonical_record":{"source":{"id":"1702.02293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T05:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"8fae8653b6193d9dd68d5797a0453005e83e014dde6dd4e4d7f4619dafcf541c","abstract_canon_sha256":"51f4f4e7bb709e6c791506547bba881cc24985f027a5163688ef3fc00fba5b8e"},"schema_version":"1.0"},"canonical_sha256":"d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146","source":{"kind":"arxiv","id":"1702.02293","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02293","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02293v2","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02293","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"2NKPWPSSMMCM","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2NKPWPSSMMCM2U56","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2NKPWPSS","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2NKPWPSSMMCM2U56UECMZQQFJJ","target":"record","payload":{"canonical_record":{"source":{"id":"1702.02293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T05:34:09Z","cross_cats_sorted":[],"title_canon_sha256":"8fae8653b6193d9dd68d5797a0453005e83e014dde6dd4e4d7f4619dafcf541c","abstract_canon_sha256":"51f4f4e7bb709e6c791506547bba881cc24985f027a5163688ef3fc00fba5b8e"},"schema_version":"1.0"},"canonical_sha256":"d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:31.452135Z","signature_b64":"+HTyrYDSaIPU4up3OUscPLjOxgnfUJxY3Fg5l6wyC067Jt96HOMPKIuaM0rXA2jiosT0ksG8WJAfU0ei505UDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146","last_reissued_at":"2026-05-18T00:49:31.451450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:31.451450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.02293","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SQdBESTzWmXHsHyH3Cr3QhoqSb2fgPmAvtmOaU4bkyvWqEpwL+E/+k1JLnwiHVpi1iZWCH0zZEuq+1WOQ7GVDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:54:21.371006Z"},"content_sha256":"590aa2a0eedbdf8864b5fcda873a49b2e4848aee2cd61630415958904677fcb8","schema_version":"1.0","event_id":"sha256:590aa2a0eedbdf8864b5fcda873a49b2e4848aee2cd61630415958904677fcb8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2NKPWPSSMMCM2U56UECMZQQFJJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite $p$-groups with non-cyclic center have non-inner automorphism of order $p$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GR","authors_text":"Deepak Gumber, Rohit Garg","submitted_at":"2017-02-08T05:34:09Z","abstract_excerpt":"Let $G$ be a finite $p$-group."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02293","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"2026-05-18T00:49:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aha3ocg7vyi+/jTfpA6ux235D0AePALmEX7mjp3LiscgfEdiHrHNQ1NI7XzE+rbTmZWpi2UbmkSLi0gtd+AjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T17:54:21.371353Z"},"content_sha256":"920e75e8e7adc848be47518d15b87699098831d3b12823a46b95f5c4afac4be2","schema_version":"1.0","event_id":"sha256:920e75e8e7adc848be47518d15b87699098831d3b12823a46b95f5c4afac4be2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/bundle.json","state_url":"https://pith.science/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/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":"2026-06-26T17:54:21Z","links":{"resolver":"https://pith.science/pith/2NKPWPSSMMCM2U56UECMZQQFJJ","bundle":"https://pith.science/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/bundle.json","state":"https://pith.science/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2NKPWPSSMMCM2U56UECMZQQFJJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2NKPWPSSMMCM2U56UECMZQQFJJ","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":"51f4f4e7bb709e6c791506547bba881cc24985f027a5163688ef3fc00fba5b8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T05:34:09Z","title_canon_sha256":"8fae8653b6193d9dd68d5797a0453005e83e014dde6dd4e4d7f4619dafcf541c"},"schema_version":"1.0","source":{"id":"1702.02293","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.02293","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"arxiv_version","alias_value":"1702.02293v2","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.02293","created_at":"2026-05-18T00:49:31Z"},{"alias_kind":"pith_short_12","alias_value":"2NKPWPSSMMCM","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2NKPWPSSMMCM2U56","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2NKPWPSS","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:920e75e8e7adc848be47518d15b87699098831d3b12823a46b95f5c4afac4be2","target":"graph","created_at":"2026-05-18T00:49:31Z","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"},"paper":{"abstract_excerpt":"Let $G$ be a finite $p$-group.","authors_text":"Deepak Gumber, Rohit Garg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T05:34:09Z","title":"Finite $p$-groups with non-cyclic center have non-inner automorphism of order $p$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.02293","kind":"arxiv","version":2},"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":"sha256:590aa2a0eedbdf8864b5fcda873a49b2e4848aee2cd61630415958904677fcb8","target":"record","created_at":"2026-05-18T00:49:31Z","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":"51f4f4e7bb709e6c791506547bba881cc24985f027a5163688ef3fc00fba5b8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2017-02-08T05:34:09Z","title_canon_sha256":"8fae8653b6193d9dd68d5797a0453005e83e014dde6dd4e4d7f4619dafcf541c"},"schema_version":"1.0","source":{"id":"1702.02293","kind":"arxiv","version":2}},"canonical_sha256":"d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d354fb3e526304cd53bea104ccc2054a60cfb5d162d22d8aed4d1aa088218146","first_computed_at":"2026-05-18T00:49:31.451450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:31.451450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+HTyrYDSaIPU4up3OUscPLjOxgnfUJxY3Fg5l6wyC067Jt96HOMPKIuaM0rXA2jiosT0ksG8WJAfU0ei505UDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:31.452135Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.02293","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:590aa2a0eedbdf8864b5fcda873a49b2e4848aee2cd61630415958904677fcb8","sha256:920e75e8e7adc848be47518d15b87699098831d3b12823a46b95f5c4afac4be2"],"state_sha256":"2322cb5a70d787331ac9cb3483ce755079f770e62e66c7a752af31f23cf9bf0a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cJwO9+W5CwycgbDe6dmNT1/UnG4ZvqmGytyefuPBcb9Tjw7pe0TTZFpGt+FdkCxfyyiprcyHIbqaKGvTqc59DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T17:54:21.373184Z","bundle_sha256":"612fbd58407a38dfc4cabfcf3ebc582e8f3439f86ed870a257d3e970964b5d28"}}