{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:IIFXE5DCVAWD7JSQ7OBRE4DMFS","short_pith_number":"pith:IIFXE5DC","schema_version":"1.0","canonical_sha256":"420b727462a82c3fa650fb8312706c2cb1158bf2151efbba38b601ffeb49d188","source":{"kind":"arxiv","id":"0909.5239","version":1},"attestation_state":"computed","paper":{"title":"Thermodynamics of O(N) Antiferromagnets in 2+1 Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Christoph P. Hofmann","submitted_at":"2009-09-28T23:47:59Z","abstract_excerpt":"Within the framework of effective Lagrangians we calculate the free energy density for an O($N$) antiferromagnet in 2+1 dimensions up to three-loop order in the perturbative expansion and derive the low-temperature series for various thermodynamic quantities. In particular, we show that the magnon-magnon interaction in the O(3) antiferromagnet in $d$=2+1 -- the O(3)-invariant quantum Heisenberg antiferromagnet on a square or a honeycomb lattice -- is very weak and repulsive and manifests itself through a term proportional to five powers of the temperature in the free energy density. Remarkably"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0909.5239","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-09-28T23:47:59Z","cross_cats_sorted":["hep-lat","hep-ph"],"title_canon_sha256":"caf7d8d4a20249141a126c40e1eb13b1927354183c8aeaee91357ed30978f400","abstract_canon_sha256":"71222499f6596c49125497c612ac79869eeaba5c562a80725dcfb8b5b1c8e295"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:23:57.524886Z","signature_b64":"OEmdSjjl7FnwDWgA+iHJX9q6/D1JGe4OHNxB2tNnaYY6eIsmW4j4OqxA4gelBghxwH/W6RF4/bRi+V/2qj6/BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"420b727462a82c3fa650fb8312706c2cb1158bf2151efbba38b601ffeb49d188","last_reissued_at":"2026-05-18T03:23:57.524332Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:23:57.524332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics of O(N) Antiferromagnets in 2+1 Dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-ph"],"primary_cat":"cond-mat.str-el","authors_text":"Christoph P. Hofmann","submitted_at":"2009-09-28T23:47:59Z","abstract_excerpt":"Within the framework of effective Lagrangians we calculate the free energy density for an O($N$) antiferromagnet in 2+1 dimensions up to three-loop order in the perturbative expansion and derive the low-temperature series for various thermodynamic quantities. In particular, we show that the magnon-magnon interaction in the O(3) antiferromagnet in $d$=2+1 -- the O(3)-invariant quantum Heisenberg antiferromagnet on a square or a honeycomb lattice -- is very weak and repulsive and manifests itself through a term proportional to five powers of the temperature in the free energy density. Remarkably"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.5239","kind":"arxiv","version":1},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0909.5239","created_at":"2026-05-18T03:23:57.524420+00:00"},{"alias_kind":"arxiv_version","alias_value":"0909.5239v1","created_at":"2026-05-18T03:23:57.524420+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.5239","created_at":"2026-05-18T03:23:57.524420+00:00"},{"alias_kind":"pith_short_12","alias_value":"IIFXE5DCVAWD","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_16","alias_value":"IIFXE5DCVAWD7JSQ","created_at":"2026-05-18T12:26:00.592388+00:00"},{"alias_kind":"pith_short_8","alias_value":"IIFXE5DC","created_at":"2026-05-18T12:26:00.592388+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS","json":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS.json","graph_json":"https://pith.science/api/pith-number/IIFXE5DCVAWD7JSQ7OBRE4DMFS/graph.json","events_json":"https://pith.science/api/pith-number/IIFXE5DCVAWD7JSQ7OBRE4DMFS/events.json","paper":"https://pith.science/paper/IIFXE5DC"},"agent_actions":{"view_html":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS","download_json":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS.json","view_paper":"https://pith.science/paper/IIFXE5DC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0909.5239&json=true","fetch_graph":"https://pith.science/api/pith-number/IIFXE5DCVAWD7JSQ7OBRE4DMFS/graph.json","fetch_events":"https://pith.science/api/pith-number/IIFXE5DCVAWD7JSQ7OBRE4DMFS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS/action/storage_attestation","attest_author":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS/action/author_attestation","sign_citation":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS/action/citation_signature","submit_replication":"https://pith.science/pith/IIFXE5DCVAWD7JSQ7OBRE4DMFS/action/replication_record"}},"created_at":"2026-05-18T03:23:57.524420+00:00","updated_at":"2026-05-18T03:23:57.524420+00:00"}