{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:76MUV5P6W65WPYX2ACWW3A4JKO","short_pith_number":"pith:76MUV5P6","canonical_record":{"source":{"id":"1006.4521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-23T13:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"d100b7026b5bccbc87bbcbaa2671986166ffbb5d7afd40f95fc0dd743954582d","abstract_canon_sha256":"fc01bfbba96e4a948af4e585c2908f75776e16e38dee3aba471b29f8ecc90ad1"},"schema_version":"1.0"},"canonical_sha256":"ff994af5feb7bb67e2fa00ad6d8389538381a86ec07b488dd16efeb4f6bb0580","source":{"kind":"arxiv","id":"1006.4521","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4521","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4521v1","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4521","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"76MUV5P6W65W","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"76MUV5P6W65WPYX2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"76MUV5P6","created_at":"2026-05-18T12:26:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:76MUV5P6W65WPYX2ACWW3A4JKO","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4521","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-23T13:49:32Z","cross_cats_sorted":[],"title_canon_sha256":"d100b7026b5bccbc87bbcbaa2671986166ffbb5d7afd40f95fc0dd743954582d","abstract_canon_sha256":"fc01bfbba96e4a948af4e585c2908f75776e16e38dee3aba471b29f8ecc90ad1"},"schema_version":"1.0"},"canonical_sha256":"ff994af5feb7bb67e2fa00ad6d8389538381a86ec07b488dd16efeb4f6bb0580","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:43.274412Z","signature_b64":"/5L6VAoi0jgU6Zufn31yDYQU7QLI9I+dYsSmPXyTi8oH3iSdT/UYQr06f7qn5/o3b2T8lcn0ZsKWexxw4+alAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff994af5feb7bb67e2fa00ad6d8389538381a86ec07b488dd16efeb4f6bb0580","last_reissued_at":"2026-05-18T02:06:43.273695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:43.273695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4521","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgKIb+7vCyWTq3NB9XK1jFF82rx060L66aetqD9vJiQkWLglIN1rBg0wKlSJsrR62jxy2D7M8HxVl6ZTTpkSAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:01:34.887239Z"},"content_sha256":"dbd056f8db20a19cea4f065b47e9e9b7e36e2df894093bd1fa9b509b1896f1aa","schema_version":"1.0","event_id":"sha256:dbd056f8db20a19cea4f065b47e9e9b7e36e2df894093bd1fa9b509b1896f1aa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:76MUV5P6W65WPYX2ACWW3A4JKO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Weakening of antiferromagnetism due to frustration on inhomogeneous 2D lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"A. Jagannathan","submitted_at":"2010-06-23T13:49:32Z","abstract_excerpt":"This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\\'eel type order exists, quantum fluctuations lead to an inhomogeneous order parameter. I consider the effects of adding frustration to such a system by including next nearest neighbor antiferromagnetic interactions. Within linear spin wave theory, it is found that as the frustration parameter increases, the local order parameters decrease at a rate that depends on the type of sit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4521","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:06:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EsCfpTiChaDF3zvDMixIGiXW/+yDX88Bal5PBWendIS9JZPaRVMWqONgTUmri4wiz1T8o/o/XvwqTa1uJ0CxAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T11:01:34.888041Z"},"content_sha256":"ef81bb720fdefbcf7455da8829372b006b00c4eb863caa4b3b78a65506a2a7fa","schema_version":"1.0","event_id":"sha256:ef81bb720fdefbcf7455da8829372b006b00c4eb863caa4b3b78a65506a2a7fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/76MUV5P6W65WPYX2ACWW3A4JKO/bundle.json","state_url":"https://pith.science/pith/76MUV5P6W65WPYX2ACWW3A4JKO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/76MUV5P6W65WPYX2ACWW3A4JKO/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":"2026-05-31T11:01:34Z","links":{"resolver":"https://pith.science/pith/76MUV5P6W65WPYX2ACWW3A4JKO","bundle":"https://pith.science/pith/76MUV5P6W65WPYX2ACWW3A4JKO/bundle.json","state":"https://pith.science/pith/76MUV5P6W65WPYX2ACWW3A4JKO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/76MUV5P6W65WPYX2ACWW3A4JKO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:76MUV5P6W65WPYX2ACWW3A4JKO","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":"fc01bfbba96e4a948af4e585c2908f75776e16e38dee3aba471b29f8ecc90ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-23T13:49:32Z","title_canon_sha256":"d100b7026b5bccbc87bbcbaa2671986166ffbb5d7afd40f95fc0dd743954582d"},"schema_version":"1.0","source":{"id":"1006.4521","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4521","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4521v1","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4521","created_at":"2026-05-18T02:06:43Z"},{"alias_kind":"pith_short_12","alias_value":"76MUV5P6W65W","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"76MUV5P6W65WPYX2","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"76MUV5P6","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:ef81bb720fdefbcf7455da8829372b006b00c4eb863caa4b3b78a65506a2a7fa","target":"graph","created_at":"2026-05-18T02:06:43Z","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":"This paper discusses the ground state of quantum spins interacting via Heisenberg antiferromagnetic exchange, in two dimensional lattices having several different local environments. In unfrustrated lattices, when a N\\'eel type order exists, quantum fluctuations lead to an inhomogeneous order parameter. I consider the effects of adding frustration to such a system by including next nearest neighbor antiferromagnetic interactions. Within linear spin wave theory, it is found that as the frustration parameter increases, the local order parameters decrease at a rate that depends on the type of sit","authors_text":"A. Jagannathan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-23T13:49:32Z","title":"Weakening of antiferromagnetism due to frustration on inhomogeneous 2D lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4521","kind":"arxiv","version":1},"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:dbd056f8db20a19cea4f065b47e9e9b7e36e2df894093bd1fa9b509b1896f1aa","target":"record","created_at":"2026-05-18T02:06:43Z","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":"fc01bfbba96e4a948af4e585c2908f75776e16e38dee3aba471b29f8ecc90ad1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-06-23T13:49:32Z","title_canon_sha256":"d100b7026b5bccbc87bbcbaa2671986166ffbb5d7afd40f95fc0dd743954582d"},"schema_version":"1.0","source":{"id":"1006.4521","kind":"arxiv","version":1}},"canonical_sha256":"ff994af5feb7bb67e2fa00ad6d8389538381a86ec07b488dd16efeb4f6bb0580","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ff994af5feb7bb67e2fa00ad6d8389538381a86ec07b488dd16efeb4f6bb0580","first_computed_at":"2026-05-18T02:06:43.273695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:06:43.273695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/5L6VAoi0jgU6Zufn31yDYQU7QLI9I+dYsSmPXyTi8oH3iSdT/UYQr06f7qn5/o3b2T8lcn0ZsKWexxw4+alAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:06:43.274412Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4521","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbd056f8db20a19cea4f065b47e9e9b7e36e2df894093bd1fa9b509b1896f1aa","sha256:ef81bb720fdefbcf7455da8829372b006b00c4eb863caa4b3b78a65506a2a7fa"],"state_sha256":"925fc61e3398e13a79eda28f9d49ffd2ed9674953311f1a64ddde8f1b7713ad1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+UudQEUh3tlMLW6wqhzAyvO0pC6CpfcU30zyErAfsIvTo+l/SR5GWZYi+5IpgfLfKmwFrvoILhiUTh+/5FrPAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T11:01:34.891995Z","bundle_sha256":"3e36ac1340184ee8877f890bee19fb6ec135c5e17f8bd55c2aaa853898cd8c77"}}