{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OSEHL7FAPD2YOHJGTCJAQGX5YH","short_pith_number":"pith:OSEHL7FA","canonical_record":{"source":{"id":"1204.3660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T21:37:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"cdf1f4aa1d34a2b51fc236c6b0fe4aa8b544632b15b7e79b9c494fe785e2ac72","abstract_canon_sha256":"a44f08fc8e00d8ce3be3faef37199d1b009fb7cd906aee992cdb0cf5bae3e1f3"},"schema_version":"1.0"},"canonical_sha256":"748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9","source":{"kind":"arxiv","id":"1204.3660","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3660","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3660v2","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3660","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"OSEHL7FAPD2Y","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OSEHL7FAPD2YOHJG","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OSEHL7FA","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OSEHL7FAPD2YOHJGTCJAQGX5YH","target":"record","payload":{"canonical_record":{"source":{"id":"1204.3660","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T21:37:10Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"cdf1f4aa1d34a2b51fc236c6b0fe4aa8b544632b15b7e79b9c494fe785e2ac72","abstract_canon_sha256":"a44f08fc8e00d8ce3be3faef37199d1b009fb7cd906aee992cdb0cf5bae3e1f3"},"schema_version":"1.0"},"canonical_sha256":"748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:51.745039Z","signature_b64":"LIcsue/UblD8XFTz31p0ayvLQAzPIzaquQmINTxNS2sIJDiKnjGaetjo3ViNRJQfqZqgHfjxbtDVCkyoZa2RAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9","last_reissued_at":"2026-05-18T01:57:51.744044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:51.744044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1204.3660","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":"2026-05-18T01:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m2iCSH6kTvTCt+6tUyCWBhh6BefYXon4rJyQc+9zL7BKAPOFvnBsH97s1ZoIhiTsxLUtYbUJjqjgg+AOxwoSCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:40:35.309661Z"},"content_sha256":"013e20743d7d2feb70443ab371a3874895e4c95718e2b75a12213c7852a947d3","schema_version":"1.0","event_id":"sha256:013e20743d7d2feb70443ab371a3874895e4c95718e2b75a12213c7852a947d3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OSEHL7FAPD2YOHJGTCJAQGX5YH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Angel Sanchez, Efrain J. Ferrer, Vivian de la Incera","submitted_at":"2012-04-16T21:37:10Z","abstract_excerpt":"In this paper we calculate the non-perturbative Euler-Heisenberg Lagrangian for massless QED in a strong magnetic field $H$, where the breaking of the chiral symmetry is dynamically catalyzed by the external magnetic field via the formation of an electro-positron condensate. This chiral condensate leads to the generation of dynamical parameters that have to be found as solutions of non-perturbative Schwinger-Dyson equations. Since the electron-positron pairing mechanism leading to the breaking of the chiral symmetry is mainly dominated by the contributions from the infrared region of momenta m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3660","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":"2026-05-18T01:57:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qJu6dm/OCo4nmyMUfFvsub49GasMBlyjM/MG+yTGSLFq3iC9yPN8aDrd6IS/j6qOJZGgxaV8IWsRRu5DQn+uAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T12:40:35.309995Z"},"content_sha256":"c17fb96d8e651d490f3fce50dfb6b6d373ee8a9e3c534114fcf155de7b45f06b","schema_version":"1.0","event_id":"sha256:c17fb96d8e651d490f3fce50dfb6b6d373ee8a9e3c534114fcf155de7b45f06b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/bundle.json","state_url":"https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/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":"2026-05-28T12:40:35Z","links":{"resolver":"https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH","bundle":"https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/bundle.json","state":"https://pith.science/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OSEHL7FAPD2YOHJGTCJAQGX5YH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OSEHL7FAPD2YOHJGTCJAQGX5YH","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":"a44f08fc8e00d8ce3be3faef37199d1b009fb7cd906aee992cdb0cf5bae3e1f3","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T21:37:10Z","title_canon_sha256":"cdf1f4aa1d34a2b51fc236c6b0fe4aa8b544632b15b7e79b9c494fe785e2ac72"},"schema_version":"1.0","source":{"id":"1204.3660","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.3660","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1204.3660v2","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.3660","created_at":"2026-05-18T01:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"OSEHL7FAPD2Y","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OSEHL7FAPD2YOHJG","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OSEHL7FA","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:c17fb96d8e651d490f3fce50dfb6b6d373ee8a9e3c534114fcf155de7b45f06b","target":"graph","created_at":"2026-05-18T01:57:51Z","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":"In this paper we calculate the non-perturbative Euler-Heisenberg Lagrangian for massless QED in a strong magnetic field $H$, where the breaking of the chiral symmetry is dynamically catalyzed by the external magnetic field via the formation of an electro-positron condensate. This chiral condensate leads to the generation of dynamical parameters that have to be found as solutions of non-perturbative Schwinger-Dyson equations. Since the electron-positron pairing mechanism leading to the breaking of the chiral symmetry is mainly dominated by the contributions from the infrared region of momenta m","authors_text":"Angel Sanchez, Efrain J. Ferrer, Vivian de la Incera","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T21:37:10Z","title":"Non-perturbative Euler-Heisenberg Lagrangian and Paraelectricity in Magnetized Massless QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.3660","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":"sha256:013e20743d7d2feb70443ab371a3874895e4c95718e2b75a12213c7852a947d3","target":"record","created_at":"2026-05-18T01:57:51Z","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":"a44f08fc8e00d8ce3be3faef37199d1b009fb7cd906aee992cdb0cf5bae3e1f3","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-04-16T21:37:10Z","title_canon_sha256":"cdf1f4aa1d34a2b51fc236c6b0fe4aa8b544632b15b7e79b9c494fe785e2ac72"},"schema_version":"1.0","source":{"id":"1204.3660","kind":"arxiv","version":2}},"canonical_sha256":"748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"748875fca078f5871d269892081afdc1c2be4740acc9646fd002889fbec054d9","first_computed_at":"2026-05-18T01:57:51.744044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:57:51.744044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LIcsue/UblD8XFTz31p0ayvLQAzPIzaquQmINTxNS2sIJDiKnjGaetjo3ViNRJQfqZqgHfjxbtDVCkyoZa2RAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:57:51.745039Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.3660","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:013e20743d7d2feb70443ab371a3874895e4c95718e2b75a12213c7852a947d3","sha256:c17fb96d8e651d490f3fce50dfb6b6d373ee8a9e3c534114fcf155de7b45f06b"],"state_sha256":"d786e2d7761b8388569e4e63f5cd1fd34bb3086e0f4638f47fdeec395358ba43"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q41nnRRTK7mtPIhwYibn2K+jG8POyGhXP9DxkwbM67zYVDFJ5vykU+gfud3dbit8H0Z8RmNKh8wryH25KmwyAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T12:40:35.311863Z","bundle_sha256":"d832a98586215a1b185ff51b6dfca481bb883eb0252a75257dd351c468e72fc4"}}