{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2YAZKWD2E7VHNQM6HXSZHKA7NG","short_pith_number":"pith:2YAZKWD2","canonical_record":{"source":{"id":"2606.14996","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-12T22:36:20Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7024df43ebe35b47d78cc755baa933ab06c283548bff524ffbc4aed32aae5d23","abstract_canon_sha256":"1e65332dc22a25641cd40126a7c0154cfb97f28191fd59ed715e8953549fa82a"},"schema_version":"1.0"},"canonical_sha256":"d60195587a27ea76c19e3de593a81f69af46aca7f0652b632779ce45a41c4abf","source":{"kind":"arxiv","id":"2606.14996","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.14996","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.14996v2","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.14996","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"2YAZKWD2E7VH","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_16","alias_value":"2YAZKWD2E7VHNQM6","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_8","alias_value":"2YAZKWD2","created_at":"2026-06-30T01:16:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2YAZKWD2E7VHNQM6HXSZHKA7NG","target":"record","payload":{"canonical_record":{"source":{"id":"2606.14996","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-12T22:36:20Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"7024df43ebe35b47d78cc755baa933ab06c283548bff524ffbc4aed32aae5d23","abstract_canon_sha256":"1e65332dc22a25641cd40126a7c0154cfb97f28191fd59ed715e8953549fa82a"},"schema_version":"1.0"},"canonical_sha256":"d60195587a27ea76c19e3de593a81f69af46aca7f0652b632779ce45a41c4abf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T01:16:31.912415Z","signature_b64":"13sPU617sXVrhiTjlIlFdfuQjUYN/8ovZ79GmkKPi6cvMhJ3pU40TiidZTvz8XlI7W7yZuhKDKOA9edCA3jHDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d60195587a27ea76c19e3de593a81f69af46aca7f0652b632779ce45a41c4abf","last_reissued_at":"2026-06-30T01:16:31.911756Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T01:16:31.911756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.14996","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":"2026-06-30T01:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rvGiQy3ViwauQYGKgmTZuBk8fUENyUtcYGQzwx+RKyVqKsBukufO3wWN9rA9nu3YdtuFpvlfpuBsjJUDX3h6Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T19:17:06.531371Z"},"content_sha256":"e4b3bfb01735cd77c89d996bca354b1a85580a24fa9f7f4b39d90b7093b21b56","schema_version":"1.0","event_id":"sha256:e4b3bfb01735cd77c89d996bca354b1a85580a24fa9f7f4b39d90b7093b21b56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2YAZKWD2E7VHNQM6HXSZHKA7NG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Domain walls and magnetic monopoles in Grand Unified Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"hep-ph","authors_text":"Anja Wachowitz, Harish Hemming, Tanmay Vachaspati","submitted_at":"2026-06-12T22:36:20Z","abstract_excerpt":"Motivated by Grand Unification, we study the formation of magnetic monopoles in an SU(3) non-Abelian gauge theory. We find that the number density of magnetic monopoles depends critically on a parameter, $\\epsilon$, that controls the abundance and subsequent decay of biased domain walls. For sufficiently small but non-vanishing values of $\\epsilon$, very few monopoles and walls survive in our simulations, potentially solving the cosmological monopole over-abundance problem. In addition, the scenario predicts a stochastic gravitational background from biased domain walls and the possibility of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.14996","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/2606.14996/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":"2026-06-30T01:16:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HSr25fNPSJVq1eoQ80P+FsFtL9z1H8zoEOhvIv+XYlemAP0eUtlake28F+zOoRTXLsOi2xfTumUETvtZUYtcAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T19:17:06.531752Z"},"content_sha256":"94f8b7af8e39203d5938f2833c9362beccb61eac92a2a2f97c607f1a35c13bb8","schema_version":"1.0","event_id":"sha256:94f8b7af8e39203d5938f2833c9362beccb61eac92a2a2f97c607f1a35c13bb8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/bundle.json","state_url":"https://pith.science/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/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":"2026-07-01T19:17:06Z","links":{"resolver":"https://pith.science/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG","bundle":"https://pith.science/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/bundle.json","state":"https://pith.science/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2YAZKWD2E7VHNQM6HXSZHKA7NG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2YAZKWD2E7VHNQM6HXSZHKA7NG","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":"1e65332dc22a25641cd40126a7c0154cfb97f28191fd59ed715e8953549fa82a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-12T22:36:20Z","title_canon_sha256":"7024df43ebe35b47d78cc755baa933ab06c283548bff524ffbc4aed32aae5d23"},"schema_version":"1.0","source":{"id":"2606.14996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.14996","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"arxiv_version","alias_value":"2606.14996v2","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.14996","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_12","alias_value":"2YAZKWD2E7VH","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_16","alias_value":"2YAZKWD2E7VHNQM6","created_at":"2026-06-30T01:16:31Z"},{"alias_kind":"pith_short_8","alias_value":"2YAZKWD2","created_at":"2026-06-30T01:16:31Z"}],"graph_snapshots":[{"event_id":"sha256:94f8b7af8e39203d5938f2833c9362beccb61eac92a2a2f97c607f1a35c13bb8","target":"graph","created_at":"2026-06-30T01:16:31Z","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/2606.14996/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Motivated by Grand Unification, we study the formation of magnetic monopoles in an SU(3) non-Abelian gauge theory. We find that the number density of magnetic monopoles depends critically on a parameter, $\\epsilon$, that controls the abundance and subsequent decay of biased domain walls. For sufficiently small but non-vanishing values of $\\epsilon$, very few monopoles and walls survive in our simulations, potentially solving the cosmological monopole over-abundance problem. In addition, the scenario predicts a stochastic gravitational background from biased domain walls and the possibility of ","authors_text":"Anja Wachowitz, Harish Hemming, Tanmay Vachaspati","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-12T22:36:20Z","title":"Domain walls and magnetic monopoles in Grand Unified Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.14996","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:e4b3bfb01735cd77c89d996bca354b1a85580a24fa9f7f4b39d90b7093b21b56","target":"record","created_at":"2026-06-30T01:16:31Z","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":"1e65332dc22a25641cd40126a7c0154cfb97f28191fd59ed715e8953549fa82a","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2026-06-12T22:36:20Z","title_canon_sha256":"7024df43ebe35b47d78cc755baa933ab06c283548bff524ffbc4aed32aae5d23"},"schema_version":"1.0","source":{"id":"2606.14996","kind":"arxiv","version":2}},"canonical_sha256":"d60195587a27ea76c19e3de593a81f69af46aca7f0652b632779ce45a41c4abf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d60195587a27ea76c19e3de593a81f69af46aca7f0652b632779ce45a41c4abf","first_computed_at":"2026-06-30T01:16:31.911756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T01:16:31.911756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"13sPU617sXVrhiTjlIlFdfuQjUYN/8ovZ79GmkKPi6cvMhJ3pU40TiidZTvz8XlI7W7yZuhKDKOA9edCA3jHDQ==","signature_status":"signed_v1","signed_at":"2026-06-30T01:16:31.912415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.14996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e4b3bfb01735cd77c89d996bca354b1a85580a24fa9f7f4b39d90b7093b21b56","sha256:94f8b7af8e39203d5938f2833c9362beccb61eac92a2a2f97c607f1a35c13bb8"],"state_sha256":"f2fb228139eaf96c712378a3bfbd6a97132e72176b55a10b9d7088ac0e66eab1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C6gcnyrYFUAX4B/dMnO05WFVg3sZsgUPrWcDuf411nhV++w+qtZwMTHPJbfH8GDH2f2m89up8uA+I9VjxN+UDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T19:17:06.533944Z","bundle_sha256":"fde4c8a351a5db599bc3fdf437eb3efea500289f5f2957c17189747e0722946d"}}