{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:EVHGZU2TRTGANOIRDAOA6BXYL6","short_pith_number":"pith:EVHGZU2T","canonical_record":{"source":{"id":"1705.06295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-17T18:02:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"eb679f1f891fb5ea3a95aa41328e812c0040570677a47aa110c019736483f7d4","abstract_canon_sha256":"2cab4e4c8760ea3d5f04331c2837640b753c82648ab0f1c1b3ce50880ab9c2c7"},"schema_version":"1.0"},"canonical_sha256":"254e6cd3538ccc06b911181c0f06f85f846dce7165bed0c8f31255055ada1103","source":{"kind":"arxiv","id":"1705.06295","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06295","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06295v1","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06295","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"EVHGZU2TRTGA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EVHGZU2TRTGANOIR","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EVHGZU2T","created_at":"2026-05-18T12:31:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:EVHGZU2TRTGANOIRDAOA6BXYL6","target":"record","payload":{"canonical_record":{"source":{"id":"1705.06295","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-17T18:02:25Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"eb679f1f891fb5ea3a95aa41328e812c0040570677a47aa110c019736483f7d4","abstract_canon_sha256":"2cab4e4c8760ea3d5f04331c2837640b753c82648ab0f1c1b3ce50880ab9c2c7"},"schema_version":"1.0"},"canonical_sha256":"254e6cd3538ccc06b911181c0f06f85f846dce7165bed0c8f31255055ada1103","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:04.356228Z","signature_b64":"2Ti1VyyXSCagvv3oSubeQdzKtGumxGotOcfz8UBPs+SSKUlM/mRfW/MPEaHtRzOCsLJdnsqnFd/3aAypyYhrBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"254e6cd3538ccc06b911181c0f06f85f846dce7165bed0c8f31255055ada1103","last_reissued_at":"2026-05-18T00:30:04.355623Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:04.355623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1705.06295","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":"2026-05-18T00:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mTm4Bbq7xAmRT3jbRNTRT1Xqcxuk15XHmEJnw1I155VXcDdyk+7ganhWPhVr1d3l42b95rBXGsnopTiauic1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:06:37.669605Z"},"content_sha256":"9bdeae3a657c22c28fceb556e0bdcbb5e02c8d12c958ce854603b1fb6cab2d5c","schema_version":"1.0","event_id":"sha256:9bdeae3a657c22c28fceb556e0bdcbb5e02c8d12c958ce854603b1fb6cab2d5c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:EVHGZU2TRTGANOIRDAOA6BXYL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Black Holes and Hurwitz Class Numbers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Arnav Tripathy, Shamit Kachru","submitted_at":"2017-05-17T18:02:25Z","abstract_excerpt":"We define a natural counting function for BPS black holes in $K3 \\times T^2$ compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular form discovered by Zagier. This hints at tantalizing relations connecting black holes, string theory, and number theory."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06295","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":""},"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":"2026-05-18T00:30:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oXBepkChX2hGF0wj6PwE2svC4cQ37ehQSA3AsjAEKjAZzmd1lohZy1Vqig3RNoLgLZJL0tAKWvB5cBr5tYUWBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T22:06:37.669943Z"},"content_sha256":"3532cdcfba51a65051a635bf32d4eeb86e6d28918e0e2e5c34b2ddd31401bb60","schema_version":"1.0","event_id":"sha256:3532cdcfba51a65051a635bf32d4eeb86e6d28918e0e2e5c34b2ddd31401bb60"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/bundle.json","state_url":"https://pith.science/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/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":"2026-06-04T22:06:37Z","links":{"resolver":"https://pith.science/pith/EVHGZU2TRTGANOIRDAOA6BXYL6","bundle":"https://pith.science/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/bundle.json","state":"https://pith.science/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EVHGZU2TRTGANOIRDAOA6BXYL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:EVHGZU2TRTGANOIRDAOA6BXYL6","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":"2cab4e4c8760ea3d5f04331c2837640b753c82648ab0f1c1b3ce50880ab9c2c7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-17T18:02:25Z","title_canon_sha256":"eb679f1f891fb5ea3a95aa41328e812c0040570677a47aa110c019736483f7d4"},"schema_version":"1.0","source":{"id":"1705.06295","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.06295","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"arxiv_version","alias_value":"1705.06295v1","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.06295","created_at":"2026-05-18T00:30:04Z"},{"alias_kind":"pith_short_12","alias_value":"EVHGZU2TRTGA","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"EVHGZU2TRTGANOIR","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"EVHGZU2T","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:3532cdcfba51a65051a635bf32d4eeb86e6d28918e0e2e5c34b2ddd31401bb60","target":"graph","created_at":"2026-05-18T00:30:04Z","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":"We define a natural counting function for BPS black holes in $K3 \\times T^2$ compactification of type II string theory, and observe that it is given by a weight 3/2 mock modular form discovered by Zagier. This hints at tantalizing relations connecting black holes, string theory, and number theory.","authors_text":"Arnav Tripathy, Shamit Kachru","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-17T18:02:25Z","title":"Black Holes and Hurwitz Class Numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.06295","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":"sha256:9bdeae3a657c22c28fceb556e0bdcbb5e02c8d12c958ce854603b1fb6cab2d5c","target":"record","created_at":"2026-05-18T00:30:04Z","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":"2cab4e4c8760ea3d5f04331c2837640b753c82648ab0f1c1b3ce50880ab9c2c7","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-05-17T18:02:25Z","title_canon_sha256":"eb679f1f891fb5ea3a95aa41328e812c0040570677a47aa110c019736483f7d4"},"schema_version":"1.0","source":{"id":"1705.06295","kind":"arxiv","version":1}},"canonical_sha256":"254e6cd3538ccc06b911181c0f06f85f846dce7165bed0c8f31255055ada1103","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"254e6cd3538ccc06b911181c0f06f85f846dce7165bed0c8f31255055ada1103","first_computed_at":"2026-05-18T00:30:04.355623Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:04.355623Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2Ti1VyyXSCagvv3oSubeQdzKtGumxGotOcfz8UBPs+SSKUlM/mRfW/MPEaHtRzOCsLJdnsqnFd/3aAypyYhrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:04.356228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.06295","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9bdeae3a657c22c28fceb556e0bdcbb5e02c8d12c958ce854603b1fb6cab2d5c","sha256:3532cdcfba51a65051a635bf32d4eeb86e6d28918e0e2e5c34b2ddd31401bb60"],"state_sha256":"8a0a67829432b3e9de6181706356ff1e537e8e0a591fe8f824be70881d0924e7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8gK4GsdjM8tSXqic8g3KcUhvbjeHBQ5nmndQfMDyndx8JkyjnlY9CEwLWblJfTAWaMvOdSDXdi/PV0plwr/qCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T22:06:37.671915Z","bundle_sha256":"a098fa8ec6cc34f2c69656ba71dcf6d6822e02835c1f757839b4695f2bae1098"}}