{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AF6JEI34SWVOY6Y7G4JSICF23H","short_pith_number":"pith:AF6JEI34","canonical_record":{"source":{"id":"1610.06594","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-20T20:14:23Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"958058100ae0d4175e0f5c756694d23d66cdf3e1b7791e7e9a86b176c9e0df43","abstract_canon_sha256":"55e9d2ef84371159261b1f049748dcc8fa83a5ccfcaee1ed886d7959659da0c3"},"schema_version":"1.0"},"canonical_sha256":"017c92237c95aaec7b1f37132408bad9c14ef26d3e3218fe9a0b3c125d7ccb74","source":{"kind":"arxiv","id":"1610.06594","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06594","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06594v3","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06594","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"AF6JEI34SWVO","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AF6JEI34SWVOY6Y7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AF6JEI34","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AF6JEI34SWVOY6Y7G4JSICF23H","target":"record","payload":{"canonical_record":{"source":{"id":"1610.06594","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-20T20:14:23Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"958058100ae0d4175e0f5c756694d23d66cdf3e1b7791e7e9a86b176c9e0df43","abstract_canon_sha256":"55e9d2ef84371159261b1f049748dcc8fa83a5ccfcaee1ed886d7959659da0c3"},"schema_version":"1.0"},"canonical_sha256":"017c92237c95aaec7b1f37132408bad9c14ef26d3e3218fe9a0b3c125d7ccb74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:43.130274Z","signature_b64":"xA7H9K0WUQvvTPMHoEhBh5xHh+C8D3kZexuJUtrvmLNlkdK9YQJ51mKeIaxrXpRlniifa2c3HJ7piVO6R8tTBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"017c92237c95aaec7b1f37132408bad9c14ef26d3e3218fe9a0b3c125d7ccb74","last_reissued_at":"2026-05-18T00:51:43.129562Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:43.129562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.06594","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+1ZUgO7e7sH2+BTvPQ36FyT+0pyrS6qnBl4aIz/093ARQRckfn8kgvf5fuGNN/Esf8fPh/kslu7nWr/7bRARBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:49:24.153941Z"},"content_sha256":"5671e289797ad67c139958ef61ed4b9586b7b20fce5f88671f97eb89dc5015fd","schema_version":"1.0","event_id":"sha256:5671e289797ad67c139958ef61ed4b9586b7b20fce5f88671f97eb89dc5015fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AF6JEI34SWVOY6Y7G4JSICF23H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient numerical solution to vacuum decay with many fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ali Masoumi, Benjamin Shlaer, Ken D. Olum","submitted_at":"2016-10-20T20:14:23Z","abstract_excerpt":"Finding numerical solutions describing bubble nucleation is notoriously difficult in more than one field space dimension. Traditional shooting methods fail because of the extreme non-linearity of field evolution over a macroscopic distance as a function of initial conditions. Minimization methods tend to become either slow or imprecise for larger numbers of fields due to their dependence on the high dimensionality of discretized function spaces. We present a new method for finding solutions which is both very efficient and able to cope with the non-linearities. Our method directly integrates t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06594","kind":"arxiv","version":3},"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":"2026-05-18T00:51:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VLuNwQaLJsdIok9PdoToH4/G0Y1px/9kMBDBfxYDAKaqpndygDLr3jOFDj1nh99J7Lj5UmBFw4q5otelSIRuAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:49:24.154373Z"},"content_sha256":"e3e09ae7334034e6cb6defeccd0254fef3d8aeccce6536365a6a8970e91d316c","schema_version":"1.0","event_id":"sha256:e3e09ae7334034e6cb6defeccd0254fef3d8aeccce6536365a6a8970e91d316c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AF6JEI34SWVOY6Y7G4JSICF23H/bundle.json","state_url":"https://pith.science/pith/AF6JEI34SWVOY6Y7G4JSICF23H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AF6JEI34SWVOY6Y7G4JSICF23H/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":"2026-05-31T01:49:24Z","links":{"resolver":"https://pith.science/pith/AF6JEI34SWVOY6Y7G4JSICF23H","bundle":"https://pith.science/pith/AF6JEI34SWVOY6Y7G4JSICF23H/bundle.json","state":"https://pith.science/pith/AF6JEI34SWVOY6Y7G4JSICF23H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AF6JEI34SWVOY6Y7G4JSICF23H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AF6JEI34SWVOY6Y7G4JSICF23H","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":"55e9d2ef84371159261b1f049748dcc8fa83a5ccfcaee1ed886d7959659da0c3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-20T20:14:23Z","title_canon_sha256":"958058100ae0d4175e0f5c756694d23d66cdf3e1b7791e7e9a86b176c9e0df43"},"schema_version":"1.0","source":{"id":"1610.06594","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.06594","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"arxiv_version","alias_value":"1610.06594v3","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06594","created_at":"2026-05-18T00:51:43Z"},{"alias_kind":"pith_short_12","alias_value":"AF6JEI34SWVO","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AF6JEI34SWVOY6Y7","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AF6JEI34","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:e3e09ae7334034e6cb6defeccd0254fef3d8aeccce6536365a6a8970e91d316c","target":"graph","created_at":"2026-05-18T00:51:43Z","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":"Finding numerical solutions describing bubble nucleation is notoriously difficult in more than one field space dimension. Traditional shooting methods fail because of the extreme non-linearity of field evolution over a macroscopic distance as a function of initial conditions. Minimization methods tend to become either slow or imprecise for larger numbers of fields due to their dependence on the high dimensionality of discretized function spaces. We present a new method for finding solutions which is both very efficient and able to cope with the non-linearities. Our method directly integrates t","authors_text":"Ali Masoumi, Benjamin Shlaer, Ken D. Olum","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-20T20:14:23Z","title":"Efficient numerical solution to vacuum decay with many fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06594","kind":"arxiv","version":3},"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":"sha256:5671e289797ad67c139958ef61ed4b9586b7b20fce5f88671f97eb89dc5015fd","target":"record","created_at":"2026-05-18T00:51:43Z","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":"55e9d2ef84371159261b1f049748dcc8fa83a5ccfcaee1ed886d7959659da0c3","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-10-20T20:14:23Z","title_canon_sha256":"958058100ae0d4175e0f5c756694d23d66cdf3e1b7791e7e9a86b176c9e0df43"},"schema_version":"1.0","source":{"id":"1610.06594","kind":"arxiv","version":3}},"canonical_sha256":"017c92237c95aaec7b1f37132408bad9c14ef26d3e3218fe9a0b3c125d7ccb74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"017c92237c95aaec7b1f37132408bad9c14ef26d3e3218fe9a0b3c125d7ccb74","first_computed_at":"2026-05-18T00:51:43.129562Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:43.129562Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xA7H9K0WUQvvTPMHoEhBh5xHh+C8D3kZexuJUtrvmLNlkdK9YQJ51mKeIaxrXpRlniifa2c3HJ7piVO6R8tTBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:43.130274Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.06594","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5671e289797ad67c139958ef61ed4b9586b7b20fce5f88671f97eb89dc5015fd","sha256:e3e09ae7334034e6cb6defeccd0254fef3d8aeccce6536365a6a8970e91d316c"],"state_sha256":"de171f1f565100c3ede373f08318a4eb9ec696c5154fc742f136758f0304d237"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p04WugL+b0mRtY9fLjjLoNA5+cVkd5WPq1tb6oltARAXPnAq52JaOeONJgHnBzyqsGfSP3p3wq9DZHRqIO/UCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:49:24.157864Z","bundle_sha256":"d843f608266b310ad4383540549c88b222ef1b7c11fc3f8b2f8aec13fa033d8b"}}