{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ALYPYBYTVVC7AQCCUCGFO6ZO5N","short_pith_number":"pith:ALYPYBYT","canonical_record":{"source":{"id":"2407.08774","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-11T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"d85ba00133ca5d26b68450fd74d2fa25feea07fefa11c0f86cb2bad4be789171","abstract_canon_sha256":"86816ad542d94bfbbb0aadacf69c02c80890c88c88269289de0b963e447963ab"},"schema_version":"1.0"},"canonical_sha256":"02f0fc0713ad45f04042a08c577b2eeb537e764ceaf2aeddada6af7ec6abc851","source":{"kind":"arxiv","id":"2407.08774","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.08774","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.08774v2","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.08774","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"ALYPYBYTVVC7","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"ALYPYBYTVVC7AQCC","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"ALYPYBYT","created_at":"2026-07-05T09:04:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ALYPYBYTVVC7AQCCUCGFO6ZO5N","target":"record","payload":{"canonical_record":{"source":{"id":"2407.08774","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-11T18:00:01Z","cross_cats_sorted":[],"title_canon_sha256":"d85ba00133ca5d26b68450fd74d2fa25feea07fefa11c0f86cb2bad4be789171","abstract_canon_sha256":"86816ad542d94bfbbb0aadacf69c02c80890c88c88269289de0b963e447963ab"},"schema_version":"1.0"},"canonical_sha256":"02f0fc0713ad45f04042a08c577b2eeb537e764ceaf2aeddada6af7ec6abc851","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:04:37.835325Z","signature_b64":"QlUgWQl67vq/VaGnT9nbecZ4oKEBkC/fdArpjF8uMn7dgw/6sWu4kfaSa9K6QUKKmWaGiNA/z5a5wDrlgbBhDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02f0fc0713ad45f04042a08c577b2eeb537e764ceaf2aeddada6af7ec6abc851","last_reissued_at":"2026-07-05T09:04:37.834907Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:04:37.834907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2407.08774","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":"2026-07-05T09:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FVNr45ZNkqgfWAJJgDWPPIxt5YfnOVZmZEb5ugLfwsDxH6rrY9an7LnbGyXxyIYHpi/lcU6vBzSgs2NVaDJHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:18:30.166863Z"},"content_sha256":"0f6d73c60fab5ddb54dcc36a230e056baa4b9e00159c241f23126935b8772cef","schema_version":"1.0","event_id":"sha256:0f6d73c60fab5ddb54dcc36a230e056baa4b9e00159c241f23126935b8772cef"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ALYPYBYTVVC7AQCCUCGFO6ZO5N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fixing the dynamical evolution of self-interacting vector fields","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Enrico Barausse, Guillermo Lara, Marcelo E. Rubio, Marco Crisostomi, Miguel Bezares","submitted_at":"2024-07-11T18:00:01Z","abstract_excerpt":"Numerical simulations of the Cauchy problem for self-interacting massive vector fields often face instabilities and apparent pathologies. We explicitly demonstrate that these issues, previously reported in the literature, are actually due to the breakdown of the well-posedness of the initial-value problem. This is akin to shortcomings observed in scalar-tensor theories when derivative self-interactions are included. Building on previous work done for k-essence, we characterize the well-posedness breakdowns, differentiating between Tricomi and Keldysh-like behaviors. We show that these issues c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.08774","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/2407.08774/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":"2026-07-05T09:04:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kmOVnM8VhdPgXJC7SC3uglx4cZhmt/1JsgXBP9pJ9DJpm8Smo/3SXgdE6ZPmSyonVEFhcwtz/ZjF3AyI8ex3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T13:18:30.167371Z"},"content_sha256":"c549a4415b0618cd53dcd628a7df4dd2010ebc7b94bca874a45757a3222a1b31","schema_version":"1.0","event_id":"sha256:c549a4415b0618cd53dcd628a7df4dd2010ebc7b94bca874a45757a3222a1b31"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/bundle.json","state_url":"https://pith.science/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/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":"2026-08-05T13:18:30Z","links":{"resolver":"https://pith.science/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N","bundle":"https://pith.science/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/bundle.json","state":"https://pith.science/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ALYPYBYTVVC7AQCCUCGFO6ZO5N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ALYPYBYTVVC7AQCCUCGFO6ZO5N","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":"86816ad542d94bfbbb0aadacf69c02c80890c88c88269289de0b963e447963ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-11T18:00:01Z","title_canon_sha256":"d85ba00133ca5d26b68450fd74d2fa25feea07fefa11c0f86cb2bad4be789171"},"schema_version":"1.0","source":{"id":"2407.08774","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2407.08774","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"arxiv_version","alias_value":"2407.08774v2","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.08774","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_12","alias_value":"ALYPYBYTVVC7","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_16","alias_value":"ALYPYBYTVVC7AQCC","created_at":"2026-07-05T09:04:37Z"},{"alias_kind":"pith_short_8","alias_value":"ALYPYBYT","created_at":"2026-07-05T09:04:37Z"}],"graph_snapshots":[{"event_id":"sha256:c549a4415b0618cd53dcd628a7df4dd2010ebc7b94bca874a45757a3222a1b31","target":"graph","created_at":"2026-07-05T09:04:37Z","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/2407.08774/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Numerical simulations of the Cauchy problem for self-interacting massive vector fields often face instabilities and apparent pathologies. We explicitly demonstrate that these issues, previously reported in the literature, are actually due to the breakdown of the well-posedness of the initial-value problem. This is akin to shortcomings observed in scalar-tensor theories when derivative self-interactions are included. Building on previous work done for k-essence, we characterize the well-posedness breakdowns, differentiating between Tricomi and Keldysh-like behaviors. We show that these issues c","authors_text":"Enrico Barausse, Guillermo Lara, Marcelo E. Rubio, Marco Crisostomi, Miguel Bezares","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-11T18:00:01Z","title":"Fixing the dynamical evolution of self-interacting vector fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.08774","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":"sha256:0f6d73c60fab5ddb54dcc36a230e056baa4b9e00159c241f23126935b8772cef","target":"record","created_at":"2026-07-05T09:04:37Z","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":"86816ad542d94bfbbb0aadacf69c02c80890c88c88269289de0b963e447963ab","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2024-07-11T18:00:01Z","title_canon_sha256":"d85ba00133ca5d26b68450fd74d2fa25feea07fefa11c0f86cb2bad4be789171"},"schema_version":"1.0","source":{"id":"2407.08774","kind":"arxiv","version":2}},"canonical_sha256":"02f0fc0713ad45f04042a08c577b2eeb537e764ceaf2aeddada6af7ec6abc851","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02f0fc0713ad45f04042a08c577b2eeb537e764ceaf2aeddada6af7ec6abc851","first_computed_at":"2026-07-05T09:04:37.834907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:04:37.834907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QlUgWQl67vq/VaGnT9nbecZ4oKEBkC/fdArpjF8uMn7dgw/6sWu4kfaSa9K6QUKKmWaGiNA/z5a5wDrlgbBhDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:04:37.835325Z","signed_message":"canonical_sha256_bytes"},"source_id":"2407.08774","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f6d73c60fab5ddb54dcc36a230e056baa4b9e00159c241f23126935b8772cef","sha256:c549a4415b0618cd53dcd628a7df4dd2010ebc7b94bca874a45757a3222a1b31"],"state_sha256":"31d78004c8b70a9c23ad80a2955efdfe9baa13a70b5a255a3c739786b32d58d1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iNPS3AoribMVth3m/Nz3LcM1qVa/iCq0YmljbW/tqWJ504r6H1QzZuxgGlT0IYzs354KO0fSpEDYoMBJLyRWDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T13:18:30.171352Z","bundle_sha256":"9455fd5448b77a32216748a990ec181e7e4d76e535d1af5ec173ac4f2a70896b"}}