{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:FFHI5UOCDDHPA45KDEMYFX2DR7","short_pith_number":"pith:FFHI5UOC","canonical_record":{"source":{"id":"1901.05023","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-15T19:02:28Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat","hep-ph"],"title_canon_sha256":"08290a9190078baa4eb6f2acc0b01ec8910de7aa873862ee19c101055bef6911","abstract_canon_sha256":"e4f6088ae6096437a53fab8222dac02d07cbd27fb0a6b283850da9efe3be7d6c"},"schema_version":"1.0"},"canonical_sha256":"294e8ed1c218cef073aa191982df438fd14f3a99b2501ee347dacff1720f0343","source":{"kind":"arxiv","id":"1901.05023","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05023","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05023v2","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05023","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"pith_short_12","alias_value":"FFHI5UOCDDHP","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFHI5UOCDDHPA45K","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFHI5UOC","created_at":"2026-05-18T12:33:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:FFHI5UOCDDHPA45KDEMYFX2DR7","target":"record","payload":{"canonical_record":{"source":{"id":"1901.05023","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-15T19:02:28Z","cross_cats_sorted":["cond-mat.stat-mech","hep-lat","hep-ph"],"title_canon_sha256":"08290a9190078baa4eb6f2acc0b01ec8910de7aa873862ee19c101055bef6911","abstract_canon_sha256":"e4f6088ae6096437a53fab8222dac02d07cbd27fb0a6b283850da9efe3be7d6c"},"schema_version":"1.0"},"canonical_sha256":"294e8ed1c218cef073aa191982df438fd14f3a99b2501ee347dacff1720f0343","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:12.335168Z","signature_b64":"p4wXKegeeT/8UnpoK/g2Y7tbg5Gdv0r/QMbp24NtKhM2rfsXASMHbliLPgk8kIzujUuwZ4DemGsiB09h1HTRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"294e8ed1c218cef073aa191982df438fd14f3a99b2501ee347dacff1720f0343","last_reissued_at":"2026-05-17T23:44:12.334555Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:12.334555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1901.05023","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":"2026-05-17T23:44:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xL9WnIu5vFW6oXmHzdTdnEDuNX+b1AjhreuNhq7UtBmnxtGpcbT0zOHbFVw5Y0ZsyBoFEByWMMSDLSEYWdFVAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:49:58.163611Z"},"content_sha256":"3415106f4b389ba1f661ca222ce2d95b290ab2fd1a95a3bd3eb2b81d05675880","schema_version":"1.0","event_id":"sha256:3415106f4b389ba1f661ca222ce2d95b290ab2fd1a95a3bd3eb2b81d05675880"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:FFHI5UOCDDHPA45KDEMYFX2DR7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$\\lambda \\phi^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-lat","hep-ph"],"primary_cat":"hep-th","authors_text":"Gabriele Spada, Giovanni Villadoro, Marco Serone","submitted_at":"2019-01-15T19:02:28Z","abstract_excerpt":"We extend the study of the two-dimensional euclidean $\\phi^4$ theory initiated in ref. [1] to the $\\mathbb Z_2$ broken phase. In particular, we compute in perturbation theory up to N$^4$LO in the quartic coupling the vacuum energy, the vacuum expectation value of $\\phi$ and the mass gap of the theory. We determine the large order behavior of the perturbative series by finding the leading order finite action complex instanton configuration in the $\\mathbb Z_2$ broken phase. Using an appropriate conformal mapping, we then Borel resum the perturbative series. Interestingly enough, the truncated p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05023","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":"2026-05-17T23:44:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d6Lh71k+PN8mDX24PWc7RbDBsKkLtjIebeJsM7Ii7y1UaTtNtbUxrrM8iQQjLyPZF3Sx0/1gxN9J1mSJoofUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T17:49:58.164296Z"},"content_sha256":"e99b2bec05c2afb55777c3509138bb3207e35d22791b94720a5091f0ad01a7b8","schema_version":"1.0","event_id":"sha256:e99b2bec05c2afb55777c3509138bb3207e35d22791b94720a5091f0ad01a7b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/bundle.json","state_url":"https://pith.science/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/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":"2026-05-19T17:49:58Z","links":{"resolver":"https://pith.science/pith/FFHI5UOCDDHPA45KDEMYFX2DR7","bundle":"https://pith.science/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/bundle.json","state":"https://pith.science/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FFHI5UOCDDHPA45KDEMYFX2DR7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FFHI5UOCDDHPA45KDEMYFX2DR7","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":"e4f6088ae6096437a53fab8222dac02d07cbd27fb0a6b283850da9efe3be7d6c","cross_cats_sorted":["cond-mat.stat-mech","hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-15T19:02:28Z","title_canon_sha256":"08290a9190078baa4eb6f2acc0b01ec8910de7aa873862ee19c101055bef6911"},"schema_version":"1.0","source":{"id":"1901.05023","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.05023","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"arxiv_version","alias_value":"1901.05023v2","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.05023","created_at":"2026-05-17T23:44:12Z"},{"alias_kind":"pith_short_12","alias_value":"FFHI5UOCDDHP","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FFHI5UOCDDHPA45K","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FFHI5UOC","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:e99b2bec05c2afb55777c3509138bb3207e35d22791b94720a5091f0ad01a7b8","target":"graph","created_at":"2026-05-17T23:44:12Z","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 extend the study of the two-dimensional euclidean $\\phi^4$ theory initiated in ref. [1] to the $\\mathbb Z_2$ broken phase. In particular, we compute in perturbation theory up to N$^4$LO in the quartic coupling the vacuum energy, the vacuum expectation value of $\\phi$ and the mass gap of the theory. We determine the large order behavior of the perturbative series by finding the leading order finite action complex instanton configuration in the $\\mathbb Z_2$ broken phase. Using an appropriate conformal mapping, we then Borel resum the perturbative series. Interestingly enough, the truncated p","authors_text":"Gabriele Spada, Giovanni Villadoro, Marco Serone","cross_cats":["cond-mat.stat-mech","hep-lat","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-15T19:02:28Z","title":"$\\lambda \\phi^4$ Theory II: The Broken Phase Beyond NNNN(NNNN)LO"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.05023","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":"sha256:3415106f4b389ba1f661ca222ce2d95b290ab2fd1a95a3bd3eb2b81d05675880","target":"record","created_at":"2026-05-17T23:44:12Z","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":"e4f6088ae6096437a53fab8222dac02d07cbd27fb0a6b283850da9efe3be7d6c","cross_cats_sorted":["cond-mat.stat-mech","hep-lat","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-01-15T19:02:28Z","title_canon_sha256":"08290a9190078baa4eb6f2acc0b01ec8910de7aa873862ee19c101055bef6911"},"schema_version":"1.0","source":{"id":"1901.05023","kind":"arxiv","version":2}},"canonical_sha256":"294e8ed1c218cef073aa191982df438fd14f3a99b2501ee347dacff1720f0343","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"294e8ed1c218cef073aa191982df438fd14f3a99b2501ee347dacff1720f0343","first_computed_at":"2026-05-17T23:44:12.334555Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:12.334555Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p4wXKegeeT/8UnpoK/g2Y7tbg5Gdv0r/QMbp24NtKhM2rfsXASMHbliLPgk8kIzujUuwZ4DemGsiB09h1HTRAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:12.335168Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.05023","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3415106f4b389ba1f661ca222ce2d95b290ab2fd1a95a3bd3eb2b81d05675880","sha256:e99b2bec05c2afb55777c3509138bb3207e35d22791b94720a5091f0ad01a7b8"],"state_sha256":"8e13c6274d8f2a21f362047ab16f6eb41bca1424fa353162f89e0f224f54f63a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jCDZRv+tjF+Mdh9VUeNRNbqA+Kd1Mi0l2NvEALpqRkAQRR4JrCmILkOYdpk6xuPG1UPaPZ9xtdLoDdQZc107AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T17:49:58.167964Z","bundle_sha256":"fc367ce545d59718c42f3efa38127628153a785643a37093a1312a9c71931625"}}