{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:NNRBWRV6EW2CR37CBBXO65DNJN","short_pith_number":"pith:NNRBWRV6","canonical_record":{"source":{"id":"1504.03319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-13T20:00:33Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"8704483b94856b403b9aabc9388ec096f7dd9c0f9bfe4f6444d5bacaef4fe737","abstract_canon_sha256":"889e2322c7c4c48556a7b860e93bd70f6ce9fd3994ea7e99fcdcc06c4b9bddab"},"schema_version":"1.0"},"canonical_sha256":"6b621b46be25b428efe2086eef746d4b704727ed324871faebcf66ab3b64c061","source":{"kind":"arxiv","id":"1504.03319","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03319","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03319v2","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03319","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"NNRBWRV6EW2C","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNRBWRV6EW2CR37C","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNRBWRV6","created_at":"2026-05-18T12:29:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:NNRBWRV6EW2CR37CBBXO65DNJN","target":"record","payload":{"canonical_record":{"source":{"id":"1504.03319","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-13T20:00:33Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"8704483b94856b403b9aabc9388ec096f7dd9c0f9bfe4f6444d5bacaef4fe737","abstract_canon_sha256":"889e2322c7c4c48556a7b860e93bd70f6ce9fd3994ea7e99fcdcc06c4b9bddab"},"schema_version":"1.0"},"canonical_sha256":"6b621b46be25b428efe2086eef746d4b704727ed324871faebcf66ab3b64c061","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:32.865106Z","signature_b64":"zStm6JtXGV1tSODZZme4g4UcAwrq4t7O6TORH0Ft/4jw+E7lV+nF1OE/sCLafsleQDR3LuoYwrU4cH4f0LlACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b621b46be25b428efe2086eef746d4b704727ed324871faebcf66ab3b64c061","last_reissued_at":"2026-05-18T02:03:32.864254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:32.864254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.03319","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":"2026-05-18T02:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uILHI2lPYzTv4MUpbXeS2uB6EkjgKeTqNI6v5jpHvY7nVdOCHhelUQiyKWXUwmrYkmH6OWYz9TWSFFhcIYRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:08:52.514717Z"},"content_sha256":"b2749b33ace1f58fa9f865f6a4943c083bba73ffdad113a2ca4b0a476f11a0c8","schema_version":"1.0","event_id":"sha256:b2749b33ace1f58fa9f865f6a4943c083bba73ffdad113a2ca4b0a476f11a0c8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:NNRBWRV6EW2CR37CBBXO65DNJN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implications of a Primordial Magnetic Field for Magnetic Monopoles, Axions, and Dirac Neutrinos","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"hep-ph","authors_text":"Andrew J. Long, Tanmay Vachaspati","submitted_at":"2015-04-13T20:00:33Z","abstract_excerpt":"We explore some particle physics implications of the growing evidence for a helical primordial magnetic field (PMF). From the interactions of magnetic monopoles and the PMF, we derive an upper bound on the monopole number density, $n(t_0) < 1 \\times 10^{-20}~{\\rm cm}^{-3}$, which is a \"primordial\" analog of the Parker bound for the survival of galactic magnetic fields. Our bound is weaker than existing constraints, but it is derived under independent assumptions. We also show how improved measurements of the PMF at different redshifts can lead to further constraints on magnetic monopoles. Axio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03319","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":"2026-05-18T02:03:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WPnpArgkYlobTIk+Xrs5K/2S1JbGjKjdBHYWrP0R0w9Ai7sED6dJS5D5VNXRZHxGWt0V5Kgf/pVDkwmxc+XgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:08:52.515424Z"},"content_sha256":"d7d08df940fafa73f3135844699435465c73c66c30679d0afbf992c6f72910e7","schema_version":"1.0","event_id":"sha256:d7d08df940fafa73f3135844699435465c73c66c30679d0afbf992c6f72910e7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NNRBWRV6EW2CR37CBBXO65DNJN/bundle.json","state_url":"https://pith.science/pith/NNRBWRV6EW2CR37CBBXO65DNJN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NNRBWRV6EW2CR37CBBXO65DNJN/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":"2026-05-25T22:08:52Z","links":{"resolver":"https://pith.science/pith/NNRBWRV6EW2CR37CBBXO65DNJN","bundle":"https://pith.science/pith/NNRBWRV6EW2CR37CBBXO65DNJN/bundle.json","state":"https://pith.science/pith/NNRBWRV6EW2CR37CBBXO65DNJN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NNRBWRV6EW2CR37CBBXO65DNJN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NNRBWRV6EW2CR37CBBXO65DNJN","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":"889e2322c7c4c48556a7b860e93bd70f6ce9fd3994ea7e99fcdcc06c4b9bddab","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-13T20:00:33Z","title_canon_sha256":"8704483b94856b403b9aabc9388ec096f7dd9c0f9bfe4f6444d5bacaef4fe737"},"schema_version":"1.0","source":{"id":"1504.03319","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.03319","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"arxiv_version","alias_value":"1504.03319v2","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.03319","created_at":"2026-05-18T02:03:32Z"},{"alias_kind":"pith_short_12","alias_value":"NNRBWRV6EW2C","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NNRBWRV6EW2CR37C","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NNRBWRV6","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:d7d08df940fafa73f3135844699435465c73c66c30679d0afbf992c6f72910e7","target":"graph","created_at":"2026-05-18T02:03:32Z","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":"We explore some particle physics implications of the growing evidence for a helical primordial magnetic field (PMF). From the interactions of magnetic monopoles and the PMF, we derive an upper bound on the monopole number density, $n(t_0) < 1 \\times 10^{-20}~{\\rm cm}^{-3}$, which is a \"primordial\" analog of the Parker bound for the survival of galactic magnetic fields. Our bound is weaker than existing constraints, but it is derived under independent assumptions. We also show how improved measurements of the PMF at different redshifts can lead to further constraints on magnetic monopoles. Axio","authors_text":"Andrew J. Long, Tanmay Vachaspati","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-13T20:00:33Z","title":"Implications of a Primordial Magnetic Field for Magnetic Monopoles, Axions, and Dirac Neutrinos"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.03319","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:b2749b33ace1f58fa9f865f6a4943c083bba73ffdad113a2ca4b0a476f11a0c8","target":"record","created_at":"2026-05-18T02:03:32Z","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":"889e2322c7c4c48556a7b860e93bd70f6ce9fd3994ea7e99fcdcc06c4b9bddab","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-04-13T20:00:33Z","title_canon_sha256":"8704483b94856b403b9aabc9388ec096f7dd9c0f9bfe4f6444d5bacaef4fe737"},"schema_version":"1.0","source":{"id":"1504.03319","kind":"arxiv","version":2}},"canonical_sha256":"6b621b46be25b428efe2086eef746d4b704727ed324871faebcf66ab3b64c061","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6b621b46be25b428efe2086eef746d4b704727ed324871faebcf66ab3b64c061","first_computed_at":"2026-05-18T02:03:32.864254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:32.864254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zStm6JtXGV1tSODZZme4g4UcAwrq4t7O6TORH0Ft/4jw+E7lV+nF1OE/sCLafsleQDR3LuoYwrU4cH4f0LlACA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:32.865106Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.03319","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2749b33ace1f58fa9f865f6a4943c083bba73ffdad113a2ca4b0a476f11a0c8","sha256:d7d08df940fafa73f3135844699435465c73c66c30679d0afbf992c6f72910e7"],"state_sha256":"dd4ebb81d77d784ea69821a3343a2af50d0beae702031bc7750bb2c001bfa995"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GInqdw2aDzB/6jJFk4+afLykmnQL8BMHmRWGLkk8xUoZY2BUt8vN6BET1qGonJvAq6Y4zMiB1bbEggRs/IDeBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:08:52.518774Z","bundle_sha256":"b6571830846f2a03cede843b90af01b893473bf392ab0e86e98a4edefca12121"}}