{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:EPUVOE5RWUDCQ67B65QR4CI67Q","short_pith_number":"pith:EPUVOE5R","canonical_record":{"source":{"id":"gr-qc/0011065","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-11-20T06:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"fbfebe8fe28961e582a0a63f9c2ce1063ad560dab64c4fbb86113e478ed6fd52","abstract_canon_sha256":"5adf1ed142e8a11a0e6c2ff1dc24e04726c782bd6fd175821edb4616e0458332"},"schema_version":"1.0"},"canonical_sha256":"23e95713b1b506287be1f7611e091efc2129e2dc402fc5a3cf7a033bac4e66a2","source":{"kind":"arxiv","id":"gr-qc/0011065","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0011065","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0011065v2","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0011065","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"EPUVOE5RWUDC","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"EPUVOE5RWUDCQ67B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"EPUVOE5R","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:EPUVOE5RWUDCQ67B65QR4CI67Q","target":"record","payload":{"canonical_record":{"source":{"id":"gr-qc/0011065","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2000-11-20T06:14:56Z","cross_cats_sorted":[],"title_canon_sha256":"fbfebe8fe28961e582a0a63f9c2ce1063ad560dab64c4fbb86113e478ed6fd52","abstract_canon_sha256":"5adf1ed142e8a11a0e6c2ff1dc24e04726c782bd6fd175821edb4616e0458332"},"schema_version":"1.0"},"canonical_sha256":"23e95713b1b506287be1f7611e091efc2129e2dc402fc5a3cf7a033bac4e66a2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:35.314782Z","signature_b64":"e3Ek13EuecijnT4YEj/sfui28D0CZDTkiq3Ja/2YHxM1Ilc6FxaLWszq51dP2qXWMT//YAapN9XmdogGArIVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"23e95713b1b506287be1f7611e091efc2129e2dc402fc5a3cf7a033bac4e66a2","last_reissued_at":"2026-05-18T04:35:35.314216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:35.314216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"gr-qc/0011065","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":"2026-05-18T04:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jIu3Zo1t5+EBHU7ufshV9t8GCGXuzkAa3o1QBMDkdetPquXtvJLRJTQEdJDgzAWI8pWIC603Sv8B/Uaa8qIPDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:00:10.073566Z"},"content_sha256":"26be48a3f822854c864032f0e3e893bafdc2be4082dd65736369ed78410ce55f","schema_version":"1.0","event_id":"sha256:26be48a3f822854c864032f0e3e893bafdc2be4082dd65736369ed78410ce55f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:EPUVOE5RWUDCQ67B65QR4CI67Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solutions with negative mass for the SU(2) Einstein-Yang-Mills equations","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Yu. Zotov","submitted_at":"2000-11-20T06:14:56Z","abstract_excerpt":"The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results demonstrate that these solutions have zero number of nodes of the gauge field function. This is a feature that is present neither for particlelike nor for black hole solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0011065","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":"2026-05-18T04:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hhGOe+8EeAmk0SrtU+ggtvndZEDa0zazeyJSMlPBANcAWeNc+ArQDX2z/4ulO5Z4kOGmwPL+hbN2rstoRWDnDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T04:00:10.073902Z"},"content_sha256":"2ed38fba6fc57e11139d48f008d0dd57dfa796b5bfafcd892b546f06f2a5e1c9","schema_version":"1.0","event_id":"sha256:2ed38fba6fc57e11139d48f008d0dd57dfa796b5bfafcd892b546f06f2a5e1c9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/bundle.json","state_url":"https://pith.science/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/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":"2026-06-04T04:00:10Z","links":{"resolver":"https://pith.science/pith/EPUVOE5RWUDCQ67B65QR4CI67Q","bundle":"https://pith.science/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/bundle.json","state":"https://pith.science/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EPUVOE5RWUDCQ67B65QR4CI67Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:EPUVOE5RWUDCQ67B65QR4CI67Q","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":"5adf1ed142e8a11a0e6c2ff1dc24e04726c782bd6fd175821edb4616e0458332","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-11-20T06:14:56Z","title_canon_sha256":"fbfebe8fe28961e582a0a63f9c2ce1063ad560dab64c4fbb86113e478ed6fd52"},"schema_version":"1.0","source":{"id":"gr-qc/0011065","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0011065","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0011065v2","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0011065","created_at":"2026-05-18T04:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"EPUVOE5RWUDC","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"EPUVOE5RWUDCQ67B","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"EPUVOE5R","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:2ed38fba6fc57e11139d48f008d0dd57dfa796b5bfafcd892b546f06f2a5e1c9","target":"graph","created_at":"2026-05-18T04:35:35Z","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":"The aim of this note is to clarify the structure of nontrivial global solutions with nonpositive ADM mass for the static, spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. The presented numerical results demonstrate that these solutions have zero number of nodes of the gauge field function. This is a feature that is present neither for particlelike nor for black hole solutions.","authors_text":"M. Yu. Zotov","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2000-11-20T06:14:56Z","title":"Solutions with negative mass for the SU(2) Einstein-Yang-Mills equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0011065","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":"sha256:26be48a3f822854c864032f0e3e893bafdc2be4082dd65736369ed78410ce55f","target":"record","created_at":"2026-05-18T04:35:35Z","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":"5adf1ed142e8a11a0e6c2ff1dc24e04726c782bd6fd175821edb4616e0458332","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2000-11-20T06:14:56Z","title_canon_sha256":"fbfebe8fe28961e582a0a63f9c2ce1063ad560dab64c4fbb86113e478ed6fd52"},"schema_version":"1.0","source":{"id":"gr-qc/0011065","kind":"arxiv","version":2}},"canonical_sha256":"23e95713b1b506287be1f7611e091efc2129e2dc402fc5a3cf7a033bac4e66a2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"23e95713b1b506287be1f7611e091efc2129e2dc402fc5a3cf7a033bac4e66a2","first_computed_at":"2026-05-18T04:35:35.314216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:35:35.314216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e3Ek13EuecijnT4YEj/sfui28D0CZDTkiq3Ja/2YHxM1Ilc6FxaLWszq51dP2qXWMT//YAapN9XmdogGArIVDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:35:35.314782Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0011065","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26be48a3f822854c864032f0e3e893bafdc2be4082dd65736369ed78410ce55f","sha256:2ed38fba6fc57e11139d48f008d0dd57dfa796b5bfafcd892b546f06f2a5e1c9"],"state_sha256":"5772e30cb77af2fc42ae2ce62324a994a8ca2bee70dc586284a761609f9e10c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a7BvuOAVoyz06uNGMWJScNfe3CQdSn7L3yxzEbi0T+paIfCzktXE+ojlwSTaRZPKoqzE+hT4jbU4ELMFdQNmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T04:00:10.075922Z","bundle_sha256":"7ac6d68fa98195da84834a504b24f71f64c3b53362d17664bc2643dfb88b5a59"}}