{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:VSNN5LLFMABGNYKEI7CWI574MG","short_pith_number":"pith:VSNN5LLF","canonical_record":{"source":{"id":"1904.09855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-16T06:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"e9d88c05d102a78fd0718637afdae5faa2d1f29de7717842f65096f4aa2a5094","abstract_canon_sha256":"08d141cd40640712e908d1095e0d17ad46bfb3c1314054b2ff96314e7acb93ae"},"schema_version":"1.0"},"canonical_sha256":"ac9adead65600266e14447c56477fc618e372fd9b975c2c8df385b0a5f173b43","source":{"kind":"arxiv","id":"1904.09855","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09855","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09855v1","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09855","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"VSNN5LLFMABG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VSNN5LLFMABGNYKE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VSNN5LLF","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:VSNN5LLFMABGNYKEI7CWI574MG","target":"record","payload":{"canonical_record":{"source":{"id":"1904.09855","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-16T06:47:55Z","cross_cats_sorted":[],"title_canon_sha256":"e9d88c05d102a78fd0718637afdae5faa2d1f29de7717842f65096f4aa2a5094","abstract_canon_sha256":"08d141cd40640712e908d1095e0d17ad46bfb3c1314054b2ff96314e7acb93ae"},"schema_version":"1.0"},"canonical_sha256":"ac9adead65600266e14447c56477fc618e372fd9b975c2c8df385b0a5f173b43","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:48:03.071940Z","signature_b64":"F0KJBjIQjt6KkJ+8zWiqu5GKvCLn+efVKGQEz1X3Q294llunpO/yTu3BQI38dY6Soj+m2K+a24/RKgk7RKp0AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac9adead65600266e14447c56477fc618e372fd9b975c2c8df385b0a5f173b43","last_reissued_at":"2026-05-17T23:48:03.071286Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:48:03.071286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1904.09855","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":"2026-05-17T23:48:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xt1R2NiM3B1O96m8GAQ6BD9bOmUHQQxHd0ApKSxYr8xBalQpbhcEuXa3dqcPI9eMGN/tsDgULXa/VGmjqQivCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:22:15.695391Z"},"content_sha256":"0c4b35fb5aa385948b72ee886de8fc7d6795042ca9226f47c8e72e09d1d999ef","schema_version":"1.0","event_id":"sha256:0c4b35fb5aa385948b72ee886de8fc7d6795042ca9226f47c8e72e09d1d999ef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:VSNN5LLFMABGNYKEI7CWI574MG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"6+infinity new expressions for the Euler-Mascheroni constant","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Marek Wolf","submitted_at":"2019-04-16T06:47:55Z","abstract_excerpt":"In the first part we present results of four ``experimental'' determinations of the Euler-Mascheroni constant $\\gamma$. Next we give new formulas expressing the $\\gamma$ constant in terms of the Ramanujan-Soldner constant $\\mu$. Employing the cosine integral we obtain the infinity of formulas for $\\gamma$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09855","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":"2026-05-17T23:48:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5ayWdbTYVWp1L1MADYruP/n7tiJKRk7urE7PKLaDFgE0UapPsX/lsak9H+RGgDEokQuXOn0/OS4/GJ6qXCI9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:22:15.695752Z"},"content_sha256":"772e4523b3d033546677de1e14b6bb0a73ce676e6e80329e6efc42dff222c199","schema_version":"1.0","event_id":"sha256:772e4523b3d033546677de1e14b6bb0a73ce676e6e80329e6efc42dff222c199"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VSNN5LLFMABGNYKEI7CWI574MG/bundle.json","state_url":"https://pith.science/pith/VSNN5LLFMABGNYKEI7CWI574MG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VSNN5LLFMABGNYKEI7CWI574MG/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":"2026-05-30T07:22:15Z","links":{"resolver":"https://pith.science/pith/VSNN5LLFMABGNYKEI7CWI574MG","bundle":"https://pith.science/pith/VSNN5LLFMABGNYKEI7CWI574MG/bundle.json","state":"https://pith.science/pith/VSNN5LLFMABGNYKEI7CWI574MG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VSNN5LLFMABGNYKEI7CWI574MG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:VSNN5LLFMABGNYKEI7CWI574MG","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":"08d141cd40640712e908d1095e0d17ad46bfb3c1314054b2ff96314e7acb93ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-16T06:47:55Z","title_canon_sha256":"e9d88c05d102a78fd0718637afdae5faa2d1f29de7717842f65096f4aa2a5094"},"schema_version":"1.0","source":{"id":"1904.09855","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.09855","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"arxiv_version","alias_value":"1904.09855v1","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.09855","created_at":"2026-05-17T23:48:03Z"},{"alias_kind":"pith_short_12","alias_value":"VSNN5LLFMABG","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"VSNN5LLFMABGNYKE","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"VSNN5LLF","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:772e4523b3d033546677de1e14b6bb0a73ce676e6e80329e6efc42dff222c199","target":"graph","created_at":"2026-05-17T23:48:03Z","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":"In the first part we present results of four ``experimental'' determinations of the Euler-Mascheroni constant $\\gamma$. Next we give new formulas expressing the $\\gamma$ constant in terms of the Ramanujan-Soldner constant $\\mu$. Employing the cosine integral we obtain the infinity of formulas for $\\gamma$.","authors_text":"Marek Wolf","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-16T06:47:55Z","title":"6+infinity new expressions for the Euler-Mascheroni constant"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.09855","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":"sha256:0c4b35fb5aa385948b72ee886de8fc7d6795042ca9226f47c8e72e09d1d999ef","target":"record","created_at":"2026-05-17T23:48:03Z","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":"08d141cd40640712e908d1095e0d17ad46bfb3c1314054b2ff96314e7acb93ae","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-04-16T06:47:55Z","title_canon_sha256":"e9d88c05d102a78fd0718637afdae5faa2d1f29de7717842f65096f4aa2a5094"},"schema_version":"1.0","source":{"id":"1904.09855","kind":"arxiv","version":1}},"canonical_sha256":"ac9adead65600266e14447c56477fc618e372fd9b975c2c8df385b0a5f173b43","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac9adead65600266e14447c56477fc618e372fd9b975c2c8df385b0a5f173b43","first_computed_at":"2026-05-17T23:48:03.071286Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:48:03.071286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F0KJBjIQjt6KkJ+8zWiqu5GKvCLn+efVKGQEz1X3Q294llunpO/yTu3BQI38dY6Soj+m2K+a24/RKgk7RKp0AA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:48:03.071940Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.09855","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c4b35fb5aa385948b72ee886de8fc7d6795042ca9226f47c8e72e09d1d999ef","sha256:772e4523b3d033546677de1e14b6bb0a73ce676e6e80329e6efc42dff222c199"],"state_sha256":"269ad9e09e800815a0abd4ba9e3ea3b38134f86cb50d1f436bcabc51efe0b99e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gyf07HKZwpHXxpaWzs8PYsvTATsLHxmP/WwEnyWGEQNlnwfz9uNcVtsz7MZHrqCtVJIpC6YOMa4kvqT1RVdhAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:22:15.697910Z","bundle_sha256":"db42d3f41221d5978c78f40aa6a99e4f209a7b4118b378eb7da637bf256f072a"}}