{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ISW6UY6UGZE3T7R2TCRX2D5C43","short_pith_number":"pith:ISW6UY6U","canonical_record":{"source":{"id":"1006.4211","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-22T06:00:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"ac3cc19f119ba4bd95ae5efddfce5057b2bba0fdc5e6699ff4e77a8bde795dcc","abstract_canon_sha256":"9af6664848fcaa9df0fecda1d91fa761bcbcc3095a21bdda8558f867f33018a0"},"schema_version":"1.0"},"canonical_sha256":"44adea63d43649b9fe3a98a37d0fa2e6d49f679344bf8b0e8b8b072fcaddfaa4","source":{"kind":"arxiv","id":"1006.4211","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4211","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4211v2","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4211","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"ISW6UY6UGZE3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ISW6UY6UGZE3T7R2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ISW6UY6U","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ISW6UY6UGZE3T7R2TCRX2D5C43","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4211","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-22T06:00:05Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"ac3cc19f119ba4bd95ae5efddfce5057b2bba0fdc5e6699ff4e77a8bde795dcc","abstract_canon_sha256":"9af6664848fcaa9df0fecda1d91fa761bcbcc3095a21bdda8558f867f33018a0"},"schema_version":"1.0"},"canonical_sha256":"44adea63d43649b9fe3a98a37d0fa2e6d49f679344bf8b0e8b8b072fcaddfaa4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:28.584848Z","signature_b64":"DhtwGqJlfkBBjHQrj3GTCMEGwY5UQORLYdzGhqePQ/DHXLsMSjqG/7SICeTb6YQ4E+OzsCyNi9rlfgvgi/UyAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44adea63d43649b9fe3a98a37d0fa2e6d49f679344bf8b0e8b8b072fcaddfaa4","last_reissued_at":"2026-05-18T04:04:28.584170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:28.584170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4211","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":"2026-05-18T04:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RW9Qp7eS+XRFxSZi//lrdx77Wz9LOV5f2ulADF/OFhHjCmeBkHvvueJ4X9uVSXQkWg2bk5xZ+QasTXPqg6I0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:21:21.158170Z"},"content_sha256":"fcbe1c1bdc09a2e2b2d43156c688815ce70ce394e929dc7721ae6d273434ffe8","schema_version":"1.0","event_id":"sha256:fcbe1c1bdc09a2e2b2d43156c688815ce70ce394e929dc7721ae6d273434ffe8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ISW6UY6UGZE3T7R2TCRX2D5C43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On ground-state instability in two-dimensional antiferromagnetic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"K. Odagiri, T. Yanagisawa","submitted_at":"2010-06-22T06:00:05Z","abstract_excerpt":"We discuss the stability of the antiferromagnetic ground state in two spatial dimensions. We start with a general analysis, based on Gribov's current-conservation techniques, of the bosonic modes in systems with magnetic order. We argue that the Goldstone $\\phi$ and Higgs $h$ modes mix in antiferromagnetic systems, and this leads to an effective $hh\\phi$ three-point interaction. We then analyze the instability of the antiferromagnetic system in two spatial dimensions by studying the non-perturbative behaviour of the Higgs boson self-energy using the Dyson--Schwinger equations. The ground state"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4211","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":"2026-05-18T04:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lw/vrTr47U7vC1MQavKISo6fUwu5GTXwrTaBGEty0+3dJHeVrwrgEmC8Eq2OEfdPfzA7p/sVqXRfuXNcePRpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:21:21.158745Z"},"content_sha256":"5dfefd4c5acf80dc6a4ef4eed5bb5786796d048e254aada7697dc4674f40ac77","schema_version":"1.0","event_id":"sha256:5dfefd4c5acf80dc6a4ef4eed5bb5786796d048e254aada7697dc4674f40ac77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/bundle.json","state_url":"https://pith.science/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/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":"2026-08-03T19:21:21Z","links":{"resolver":"https://pith.science/pith/ISW6UY6UGZE3T7R2TCRX2D5C43","bundle":"https://pith.science/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/bundle.json","state":"https://pith.science/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ISW6UY6UGZE3T7R2TCRX2D5C43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ISW6UY6UGZE3T7R2TCRX2D5C43","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":"9af6664848fcaa9df0fecda1d91fa761bcbcc3095a21bdda8558f867f33018a0","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-22T06:00:05Z","title_canon_sha256":"ac3cc19f119ba4bd95ae5efddfce5057b2bba0fdc5e6699ff4e77a8bde795dcc"},"schema_version":"1.0","source":{"id":"1006.4211","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4211","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4211v2","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4211","created_at":"2026-05-18T04:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"ISW6UY6UGZE3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"ISW6UY6UGZE3T7R2","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"ISW6UY6U","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:5dfefd4c5acf80dc6a4ef4eed5bb5786796d048e254aada7697dc4674f40ac77","target":"graph","created_at":"2026-05-18T04:04:28Z","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 discuss the stability of the antiferromagnetic ground state in two spatial dimensions. We start with a general analysis, based on Gribov's current-conservation techniques, of the bosonic modes in systems with magnetic order. We argue that the Goldstone $\\phi$ and Higgs $h$ modes mix in antiferromagnetic systems, and this leads to an effective $hh\\phi$ three-point interaction. We then analyze the instability of the antiferromagnetic system in two spatial dimensions by studying the non-perturbative behaviour of the Higgs boson self-energy using the Dyson--Schwinger equations. The ground state","authors_text":"K. Odagiri, T. Yanagisawa","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-22T06:00:05Z","title":"On ground-state instability in two-dimensional antiferromagnetic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4211","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:fcbe1c1bdc09a2e2b2d43156c688815ce70ce394e929dc7721ae6d273434ffe8","target":"record","created_at":"2026-05-18T04:04:28Z","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":"9af6664848fcaa9df0fecda1d91fa761bcbcc3095a21bdda8558f867f33018a0","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.supr-con","submitted_at":"2010-06-22T06:00:05Z","title_canon_sha256":"ac3cc19f119ba4bd95ae5efddfce5057b2bba0fdc5e6699ff4e77a8bde795dcc"},"schema_version":"1.0","source":{"id":"1006.4211","kind":"arxiv","version":2}},"canonical_sha256":"44adea63d43649b9fe3a98a37d0fa2e6d49f679344bf8b0e8b8b072fcaddfaa4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44adea63d43649b9fe3a98a37d0fa2e6d49f679344bf8b0e8b8b072fcaddfaa4","first_computed_at":"2026-05-18T04:04:28.584170Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:28.584170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DhtwGqJlfkBBjHQrj3GTCMEGwY5UQORLYdzGhqePQ/DHXLsMSjqG/7SICeTb6YQ4E+OzsCyNi9rlfgvgi/UyAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:28.584848Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4211","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fcbe1c1bdc09a2e2b2d43156c688815ce70ce394e929dc7721ae6d273434ffe8","sha256:5dfefd4c5acf80dc6a4ef4eed5bb5786796d048e254aada7697dc4674f40ac77"],"state_sha256":"7a634eed1e6a1ccc9f3db6d7cdd32ae745372753da175e8b03d3034f156910bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hv/X1knAbH8He9A1VPj7qCVGHcGLsNI/Fjg9Ipe4rtdmdOzqqylRVbT64FhYJUAdGzd8NrB/zmj+TmcpTMMwDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:21:21.162258Z","bundle_sha256":"a9e2a57d26198074ddc5b515726322bc9726f144c62505a0d4c418f22a10607f"}}