{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ZQKPXJA5IA6KYFRX2ORUXVBKD2","short_pith_number":"pith:ZQKPXJA5","canonical_record":{"source":{"id":"1602.02324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-07T00:55:06Z","cross_cats_sorted":[],"title_canon_sha256":"8030ef79275c9e1d6dab5a094c75da45cfea0809fa885a338975d56bd5b82e84","abstract_canon_sha256":"9ad577feab6c0240a3946dbf97ad9cc26f6c5febb1b652a10ff9e82383080cec"},"schema_version":"1.0"},"canonical_sha256":"cc14fba41d403cac1637d3a34bd42a1e90ef350067c33f889b1af2fe1c929553","source":{"kind":"arxiv","id":"1602.02324","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02324","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02324v1","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02324","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZQKPXJA5IA6K","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZQKPXJA5IA6KYFRX","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZQKPXJA5","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ZQKPXJA5IA6KYFRX2ORUXVBKD2","target":"record","payload":{"canonical_record":{"source":{"id":"1602.02324","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-07T00:55:06Z","cross_cats_sorted":[],"title_canon_sha256":"8030ef79275c9e1d6dab5a094c75da45cfea0809fa885a338975d56bd5b82e84","abstract_canon_sha256":"9ad577feab6c0240a3946dbf97ad9cc26f6c5febb1b652a10ff9e82383080cec"},"schema_version":"1.0"},"canonical_sha256":"cc14fba41d403cac1637d3a34bd42a1e90ef350067c33f889b1af2fe1c929553","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:10.314370Z","signature_b64":"S/q/tK+ZPzasG6px/eBYOqb/bdMsXPMQcg182KzFeY4Z2g9ymFKt7ClPwC6Ofe4JWmYwaSHDGblLO01HLhiJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc14fba41d403cac1637d3a34bd42a1e90ef350067c33f889b1af2fe1c929553","last_reissued_at":"2026-05-18T01:21:10.313625Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:10.313625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.02324","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":"2026-05-18T01:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"llsp5sHxLLL07fEnTB3y3QExcEkts+pHQYVOgti4yPD/uOv+qDuSMU8HBi6rywi1KLd4awXrCjY5J+gTgKz+CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:19:08.265244Z"},"content_sha256":"a67f21db268c43eefbe4794554183d2361d3fc6e007ee0430a1a04ccd44ef96e","schema_version":"1.0","event_id":"sha256:a67f21db268c43eefbe4794554183d2361d3fc6e007ee0430a1a04ccd44ef96e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ZQKPXJA5IA6KYFRX2ORUXVBKD2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical exponent $\\eta$ in 2D $O(N)$-symmetric $\\varphi^4$-model up to 6~loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"L. Ts. Adzhemyan, M. V. Kompaniets, Yu. V. Kirienko","submitted_at":"2016-02-07T00:55:06Z","abstract_excerpt":"Critical exponent $\\eta$ (Fisher exponent) in $O(N)$-symmetric $\\varphi^4$-model was calculated using renormalization group approach in the space of fixed dimension $D=2$ up to 6~loops. The calculation of the renormalization constants was performed with the use of $R'$-operation and specific values for diagrams were calculated in Feynman representation using sector decomposition method. Presented approach allows easy automation and generalization for the case of complex symmetries. Also a summation of the perturbation series was obtained by Borel transformation with conformal mapping. The cont"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02324","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":"2026-05-18T01:21:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xBegMhMl2u828cKLshzNvsMy61Z7/YdNoU7Gy79/mXut/5zD0wkSERx8FK7Q7vClFjxWw8kn6KboCEF/F7meCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T13:19:08.265606Z"},"content_sha256":"8e004d61cf2020905397438b3e1fe0e473829e21ead3027e858a02e71fa91d12","schema_version":"1.0","event_id":"sha256:8e004d61cf2020905397438b3e1fe0e473829e21ead3027e858a02e71fa91d12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/bundle.json","state_url":"https://pith.science/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/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":"2026-06-22T13:19:08Z","links":{"resolver":"https://pith.science/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2","bundle":"https://pith.science/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/bundle.json","state":"https://pith.science/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZQKPXJA5IA6KYFRX2ORUXVBKD2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ZQKPXJA5IA6KYFRX2ORUXVBKD2","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":"9ad577feab6c0240a3946dbf97ad9cc26f6c5febb1b652a10ff9e82383080cec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-07T00:55:06Z","title_canon_sha256":"8030ef79275c9e1d6dab5a094c75da45cfea0809fa885a338975d56bd5b82e84"},"schema_version":"1.0","source":{"id":"1602.02324","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.02324","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"arxiv_version","alias_value":"1602.02324v1","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.02324","created_at":"2026-05-18T01:21:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZQKPXJA5IA6K","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"ZQKPXJA5IA6KYFRX","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"ZQKPXJA5","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:8e004d61cf2020905397438b3e1fe0e473829e21ead3027e858a02e71fa91d12","target":"graph","created_at":"2026-05-18T01:21:10Z","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":"Critical exponent $\\eta$ (Fisher exponent) in $O(N)$-symmetric $\\varphi^4$-model was calculated using renormalization group approach in the space of fixed dimension $D=2$ up to 6~loops. The calculation of the renormalization constants was performed with the use of $R'$-operation and specific values for diagrams were calculated in Feynman representation using sector decomposition method. Presented approach allows easy automation and generalization for the case of complex symmetries. Also a summation of the perturbation series was obtained by Borel transformation with conformal mapping. The cont","authors_text":"L. Ts. Adzhemyan, M. V. Kompaniets, Yu. V. Kirienko","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-07T00:55:06Z","title":"Critical exponent $\\eta$ in 2D $O(N)$-symmetric $\\varphi^4$-model up to 6~loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.02324","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:a67f21db268c43eefbe4794554183d2361d3fc6e007ee0430a1a04ccd44ef96e","target":"record","created_at":"2026-05-18T01:21:10Z","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":"9ad577feab6c0240a3946dbf97ad9cc26f6c5febb1b652a10ff9e82383080cec","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-07T00:55:06Z","title_canon_sha256":"8030ef79275c9e1d6dab5a094c75da45cfea0809fa885a338975d56bd5b82e84"},"schema_version":"1.0","source":{"id":"1602.02324","kind":"arxiv","version":1}},"canonical_sha256":"cc14fba41d403cac1637d3a34bd42a1e90ef350067c33f889b1af2fe1c929553","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc14fba41d403cac1637d3a34bd42a1e90ef350067c33f889b1af2fe1c929553","first_computed_at":"2026-05-18T01:21:10.313625Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:10.313625Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"S/q/tK+ZPzasG6px/eBYOqb/bdMsXPMQcg182KzFeY4Z2g9ymFKt7ClPwC6Ofe4JWmYwaSHDGblLO01HLhiJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:10.314370Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.02324","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a67f21db268c43eefbe4794554183d2361d3fc6e007ee0430a1a04ccd44ef96e","sha256:8e004d61cf2020905397438b3e1fe0e473829e21ead3027e858a02e71fa91d12"],"state_sha256":"946c97e792772cc276de829cb509b8e224dd902ecc83bcb9e750211d083c791c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3o6TPSz2NKTbQdF1NzxUHOfud4otEG0zkIS2JM3Agyu/4QQAY2PcPQ7havbYluGo4F9YAbWwcGp8eB3ZSjvGAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T13:19:08.267595Z","bundle_sha256":"47687eb6285a2e56d5c9044b8431d6d2467090df8626c5fada0bbbbe5ed096da"}}