{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:WI44HN2Z6LJOJHEBQKII73FCT5","short_pith_number":"pith:WI44HN2Z","canonical_record":{"source":{"id":"0909.4486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-24T16:09:10Z","cross_cats_sorted":["astro-ph.SR","hep-th"],"title_canon_sha256":"836bfbd17baa33dcb476cd10f76b31f4b6d9f27fea683e85c3dde11cbd37f385","abstract_canon_sha256":"df7522d76724b803f7bc6e194af1205affe30953ca3c9dba2e8175abf1ae8158"},"schema_version":"1.0"},"canonical_sha256":"b239c3b759f2d2e49c8182908feca29f604072b36fb99f45f28cc5bbc8e74485","source":{"kind":"arxiv","id":"0909.4486","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4486","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4486v2","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4486","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"WI44HN2Z6LJO","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_16","alias_value":"WI44HN2Z6LJOJHEB","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_8","alias_value":"WI44HN2Z","created_at":"2026-07-04T17:25:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:WI44HN2Z6LJOJHEBQKII73FCT5","target":"record","payload":{"canonical_record":{"source":{"id":"0909.4486","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-24T16:09:10Z","cross_cats_sorted":["astro-ph.SR","hep-th"],"title_canon_sha256":"836bfbd17baa33dcb476cd10f76b31f4b6d9f27fea683e85c3dde11cbd37f385","abstract_canon_sha256":"df7522d76724b803f7bc6e194af1205affe30953ca3c9dba2e8175abf1ae8158"},"schema_version":"1.0"},"canonical_sha256":"b239c3b759f2d2e49c8182908feca29f604072b36fb99f45f28cc5bbc8e74485","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:03.238131Z","signature_b64":"FEYBFSgVYg0UVha1Ehi6Qjamq7MFWcb1WRJWrILl6xIhCStQG9/N7HNks5puA7LvDoY5VGx3AAK54GhVrg9vDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b239c3b759f2d2e49c8182908feca29f604072b36fb99f45f28cc5bbc8e74485","last_reissued_at":"2026-07-04T17:25:03.237795Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:03.237795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0909.4486","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":"2026-07-04T17:25:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2W5FCA3Cb0Tryfbk5OyhK/D7iF9O45Vyd+VQvsqs8EcRk8KO+vvKIFkBGJ0+JGKyIEZCOth06a6d8mTs5YJKBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:48:05.728058Z"},"content_sha256":"1ff541be7057d8549b08f0b8f5a5dffc03d9a7a0321d0345ac6537c49ba526f1","schema_version":"1.0","event_id":"sha256:1ff541be7057d8549b08f0b8f5a5dffc03d9a7a0321d0345ac6537c49ba526f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:WI44HN2Z6LJOJHEBQKII73FCT5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR","hep-th"],"primary_cat":"hep-ph","authors_text":"Cristina Manuel, Massimo Mannarelli","submitted_at":"2009-09-24T16:09:10Z","abstract_excerpt":"We consider the phonon contribution to the bulk viscosities $\\zeta_1, \\zeta_2$ and $\\zeta_3$ of a cold relativistic superfluid. We assume the low temperature $T$ regime and that the transport properties of the system are dominated by the phonons. We use kinetic theory in the relaxation time approximation and the low energy effective field theory of the corresponding system. The parametric dependence of the bulk viscosity coefficients is fixed once the equation of state is specified, and the phonon dispersion law to cubic order in momentum is known. We first present a general discussion, valid "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4486","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/0909.4486/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":"2026-07-04T17:25:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5RAak6ActEjfSL3xudnn1P4ARqSe2WnDtGvUO92IejEK2u3pnTN7+Zg4AoPHeX1KCRTSUI1tZj88NepMrB6Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T22:48:05.728939Z"},"content_sha256":"28695f1df3835b250b192cc42b33b25bac108947476f7a3ec8a9ac39395d5f75","schema_version":"1.0","event_id":"sha256:28695f1df3835b250b192cc42b33b25bac108947476f7a3ec8a9ac39395d5f75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WI44HN2Z6LJOJHEBQKII73FCT5/bundle.json","state_url":"https://pith.science/pith/WI44HN2Z6LJOJHEBQKII73FCT5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WI44HN2Z6LJOJHEBQKII73FCT5/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":"2026-08-15T22:48:05Z","links":{"resolver":"https://pith.science/pith/WI44HN2Z6LJOJHEBQKII73FCT5","bundle":"https://pith.science/pith/WI44HN2Z6LJOJHEBQKII73FCT5/bundle.json","state":"https://pith.science/pith/WI44HN2Z6LJOJHEBQKII73FCT5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WI44HN2Z6LJOJHEBQKII73FCT5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WI44HN2Z6LJOJHEBQKII73FCT5","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":"df7522d76724b803f7bc6e194af1205affe30953ca3c9dba2e8175abf1ae8158","cross_cats_sorted":["astro-ph.SR","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-24T16:09:10Z","title_canon_sha256":"836bfbd17baa33dcb476cd10f76b31f4b6d9f27fea683e85c3dde11cbd37f385"},"schema_version":"1.0","source":{"id":"0909.4486","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.4486","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"0909.4486v2","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.4486","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"WI44HN2Z6LJO","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_16","alias_value":"WI44HN2Z6LJOJHEB","created_at":"2026-07-04T17:25:03Z"},{"alias_kind":"pith_short_8","alias_value":"WI44HN2Z","created_at":"2026-07-04T17:25:03Z"}],"graph_snapshots":[{"event_id":"sha256:28695f1df3835b250b192cc42b33b25bac108947476f7a3ec8a9ac39395d5f75","target":"graph","created_at":"2026-07-04T17:25:03Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0909.4486/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the phonon contribution to the bulk viscosities $\\zeta_1, \\zeta_2$ and $\\zeta_3$ of a cold relativistic superfluid. We assume the low temperature $T$ regime and that the transport properties of the system are dominated by the phonons. We use kinetic theory in the relaxation time approximation and the low energy effective field theory of the corresponding system. The parametric dependence of the bulk viscosity coefficients is fixed once the equation of state is specified, and the phonon dispersion law to cubic order in momentum is known. We first present a general discussion, valid ","authors_text":"Cristina Manuel, Massimo Mannarelli","cross_cats":["astro-ph.SR","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-24T16:09:10Z","title":"Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.4486","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":"sha256:1ff541be7057d8549b08f0b8f5a5dffc03d9a7a0321d0345ac6537c49ba526f1","target":"record","created_at":"2026-07-04T17:25:03Z","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":"df7522d76724b803f7bc6e194af1205affe30953ca3c9dba2e8175abf1ae8158","cross_cats_sorted":["astro-ph.SR","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-24T16:09:10Z","title_canon_sha256":"836bfbd17baa33dcb476cd10f76b31f4b6d9f27fea683e85c3dde11cbd37f385"},"schema_version":"1.0","source":{"id":"0909.4486","kind":"arxiv","version":2}},"canonical_sha256":"b239c3b759f2d2e49c8182908feca29f604072b36fb99f45f28cc5bbc8e74485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b239c3b759f2d2e49c8182908feca29f604072b36fb99f45f28cc5bbc8e74485","first_computed_at":"2026-07-04T17:25:03.237795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:03.237795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FEYBFSgVYg0UVha1Ehi6Qjamq7MFWcb1WRJWrILl6xIhCStQG9/N7HNks5puA7LvDoY5VGx3AAK54GhVrg9vDw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:03.238131Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.4486","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ff541be7057d8549b08f0b8f5a5dffc03d9a7a0321d0345ac6537c49ba526f1","sha256:28695f1df3835b250b192cc42b33b25bac108947476f7a3ec8a9ac39395d5f75"],"state_sha256":"487340646bfcfdd0175da92581ccbb67832184e31d097f016bd48aa26952cc94"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iJLsh5X42RO4Wa2YlrD+YezZD2pVvWScOEKggVdU2aGI6+ONp363y31u+IKflzoX8IxmrxW0vDeeYDlwe3yHCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T22:48:05.734065Z","bundle_sha256":"d341b91518d120c2140627f26efedae4f59d74c9cb0db69c68df90f4d07a7aa6"}}