{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:VFYTUDWDVTOWVHQQMYURJWP4EF","short_pith_number":"pith:VFYTUDWD","canonical_record":{"source":{"id":"2501.17921","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-29T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"9448dfe5a79dbaccef69eb9c58bc4243324acebcfbe5f261e6838f21250d4322","abstract_canon_sha256":"7f5bb691c51882ca6f4f4c1d85f8f1d64e5680dbdd3a6b9558e62b0b40086616"},"schema_version":"1.0"},"canonical_sha256":"a9713a0ec3acdd6a9e10662914d9fc215e4b104a1e89891f02f84d7b0bec9355","source":{"kind":"arxiv","id":"2501.17921","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.17921","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"2501.17921v2","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.17921","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"VFYTUDWDVTOW","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_16","alias_value":"VFYTUDWDVTOWVHQQ","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_8","alias_value":"VFYTUDWD","created_at":"2026-07-05T10:48:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:VFYTUDWDVTOWVHQQMYURJWP4EF","target":"record","payload":{"canonical_record":{"source":{"id":"2501.17921","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-29T19:00:02Z","cross_cats_sorted":[],"title_canon_sha256":"9448dfe5a79dbaccef69eb9c58bc4243324acebcfbe5f261e6838f21250d4322","abstract_canon_sha256":"7f5bb691c51882ca6f4f4c1d85f8f1d64e5680dbdd3a6b9558e62b0b40086616"},"schema_version":"1.0"},"canonical_sha256":"a9713a0ec3acdd6a9e10662914d9fc215e4b104a1e89891f02f84d7b0bec9355","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:48:24.903394Z","signature_b64":"SOCjqaM4B4JRB0vYfCga8MRvBcNGMRMweJFuxde+Zq8TNBryAhOwvuSmHbspTPAYU5zR92lUTWwq4Ot8LvZYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9713a0ec3acdd6a9e10662914d9fc215e4b104a1e89891f02f84d7b0bec9355","last_reissued_at":"2026-07-05T10:48:24.902882Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:48:24.902882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.17921","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":"2026-07-05T10:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0UwKS2ybPiyQfWMrBGDH53ZoxEMde2w5XhubVUgArZ44MBcYDsykMDezejtpKhKPHLO5fRe7VJ21S4lV0ZpUAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:36:05.477402Z"},"content_sha256":"cc5e5133e56b3a2908d754b096715521d53af189538da92ae8f4ccbc040d4b88","schema_version":"1.0","event_id":"sha256:cc5e5133e56b3a2908d754b096715521d53af189538da92ae8f4ccbc040d4b88"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:VFYTUDWDVTOWVHQQMYURJWP4EF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quark matter at four loops: hardships and how to overcome them","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. K\\\"arkk\\\"ainen, A. Vuorinen, K. Sepp\\\"anen, M. Nurmela, P. Navarrete, R. Paatelainen","submitted_at":"2025-01-29T19:00:02Z","abstract_excerpt":"Knowledge of the pressure of cold and dense quark matter (QM) is known to significantly constrain the equation of state of neutron-star matter, a quantity playing a key role in deciphering the stars' internal structure. In this work, we make important progress towards determining the last unknown contribution to the pressure at Next-to-Next-to-Next-to-Leading Order (N3LO) in the strong coupling constant $\\alpha_s$, available through the sum of all four-loop vacuum diagrams of dense Quantum Chromodynamics. We demonstrate the cancellation of both the covariant gauge parameter and all infrared (I"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.17921","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.17921/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":"2026-07-05T10:48:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ojltGn13Codz15uDQHb83SSSkY7pgOAcBIvi6pAwny/5A9gtrXHJUn1CpU4KXsqFrdFgJ76TsAIGCNi2jg9jCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T08:36:05.477888Z"},"content_sha256":"0908d35ae5d834954d07c7e068c8c9e55854039b9cf2f8a3c8f0679e210ac711","schema_version":"1.0","event_id":"sha256:0908d35ae5d834954d07c7e068c8c9e55854039b9cf2f8a3c8f0679e210ac711"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/bundle.json","state_url":"https://pith.science/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/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":"2026-08-04T08:36:05Z","links":{"resolver":"https://pith.science/pith/VFYTUDWDVTOWVHQQMYURJWP4EF","bundle":"https://pith.science/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/bundle.json","state":"https://pith.science/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VFYTUDWDVTOWVHQQMYURJWP4EF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VFYTUDWDVTOWVHQQMYURJWP4EF","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":"7f5bb691c51882ca6f4f4c1d85f8f1d64e5680dbdd3a6b9558e62b0b40086616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-29T19:00:02Z","title_canon_sha256":"9448dfe5a79dbaccef69eb9c58bc4243324acebcfbe5f261e6838f21250d4322"},"schema_version":"1.0","source":{"id":"2501.17921","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.17921","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"arxiv_version","alias_value":"2501.17921v2","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.17921","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_12","alias_value":"VFYTUDWDVTOW","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_16","alias_value":"VFYTUDWDVTOWVHQQ","created_at":"2026-07-05T10:48:24Z"},{"alias_kind":"pith_short_8","alias_value":"VFYTUDWD","created_at":"2026-07-05T10:48:24Z"}],"graph_snapshots":[{"event_id":"sha256:0908d35ae5d834954d07c7e068c8c9e55854039b9cf2f8a3c8f0679e210ac711","target":"graph","created_at":"2026-07-05T10:48:24Z","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/2501.17921/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Knowledge of the pressure of cold and dense quark matter (QM) is known to significantly constrain the equation of state of neutron-star matter, a quantity playing a key role in deciphering the stars' internal structure. In this work, we make important progress towards determining the last unknown contribution to the pressure at Next-to-Next-to-Next-to-Leading Order (N3LO) in the strong coupling constant $\\alpha_s$, available through the sum of all four-loop vacuum diagrams of dense Quantum Chromodynamics. We demonstrate the cancellation of both the covariant gauge parameter and all infrared (I","authors_text":"A. K\\\"arkk\\\"ainen, A. Vuorinen, K. Sepp\\\"anen, M. Nurmela, P. Navarrete, R. Paatelainen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-29T19:00:02Z","title":"Quark matter at four loops: hardships and how to overcome them"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.17921","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:cc5e5133e56b3a2908d754b096715521d53af189538da92ae8f4ccbc040d4b88","target":"record","created_at":"2026-07-05T10:48:24Z","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":"7f5bb691c51882ca6f4f4c1d85f8f1d64e5680dbdd3a6b9558e62b0b40086616","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2025-01-29T19:00:02Z","title_canon_sha256":"9448dfe5a79dbaccef69eb9c58bc4243324acebcfbe5f261e6838f21250d4322"},"schema_version":"1.0","source":{"id":"2501.17921","kind":"arxiv","version":2}},"canonical_sha256":"a9713a0ec3acdd6a9e10662914d9fc215e4b104a1e89891f02f84d7b0bec9355","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a9713a0ec3acdd6a9e10662914d9fc215e4b104a1e89891f02f84d7b0bec9355","first_computed_at":"2026-07-05T10:48:24.902882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:48:24.902882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SOCjqaM4B4JRB0vYfCga8MRvBcNGMRMweJFuxde+Zq8TNBryAhOwvuSmHbspTPAYU5zR92lUTWwq4Ot8LvZYDA==","signature_status":"signed_v1","signed_at":"2026-07-05T10:48:24.903394Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.17921","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc5e5133e56b3a2908d754b096715521d53af189538da92ae8f4ccbc040d4b88","sha256:0908d35ae5d834954d07c7e068c8c9e55854039b9cf2f8a3c8f0679e210ac711"],"state_sha256":"4c7fe165a09ae841c9205f00f956505f4429472228a86349fe73e9208da6dcd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NuXc4/gJiRKtWg4/6RBunA3OGlkMUnvsFgtnUBS5MtbRcmi2WbOQetuWlidSVmvb0z+Aus8mdOmkIMLpFBfVCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T08:36:05.482400Z","bundle_sha256":"5e2770630235972b456f213d9ed1ee5331a932efe9f486c4cd5527d8c4d90ccc"}}