{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:SI4RWBL6SSKJPMTMBEA5FPO3OD","short_pith_number":"pith:SI4RWBL6","canonical_record":{"source":{"id":"hep-th/9512179","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-21T15:53:42Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"55b4fb969fd4ac9ff5568e08071d879c313ccec57b59fa434ff5c87ad7aeb189","abstract_canon_sha256":"ec94a8739e525cc74e633449d680bd4287fed4859820e52c011970f143ab509b"},"schema_version":"1.0"},"canonical_sha256":"92391b057e949497b26c0901d2bddb70d37c36457a2b01563634af29161f09fc","source":{"kind":"arxiv","id":"hep-th/9512179","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512179","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512179v1","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512179","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"SI4RWBL6SSKJ","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"SI4RWBL6SSKJPMTM","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"SI4RWBL6","created_at":"2026-07-04T15:59:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:SI4RWBL6SSKJPMTMBEA5FPO3OD","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9512179","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1995-12-21T15:53:42Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"55b4fb969fd4ac9ff5568e08071d879c313ccec57b59fa434ff5c87ad7aeb189","abstract_canon_sha256":"ec94a8739e525cc74e633449d680bd4287fed4859820e52c011970f143ab509b"},"schema_version":"1.0"},"canonical_sha256":"92391b057e949497b26c0901d2bddb70d37c36457a2b01563634af29161f09fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:48.653748Z","signature_b64":"C2/VfBTw8W3FSGuDgQIcPF7k0FlZrY42v1UjfoAnFUM2eP9i91XvhMi6vR5dulY1scva57vziNIHJS6RgjdjAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92391b057e949497b26c0901d2bddb70d37c36457a2b01563634af29161f09fc","last_reissued_at":"2026-07-04T15:59:48.653405Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:48.653405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9512179","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":"2026-07-04T15:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4HVHJAOY66jlCrYRD61OdAm/uqEf6ySJLwj0aXQihqmY0A3knGc4aI7WwSCuOVPX7E7lT59AKOovLuzRZ4bmCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:54:06.304017Z"},"content_sha256":"6e55f96f187c59c127f93c4db83a30042ccc023280d58d1d150b80614d5f4a0e","schema_version":"1.0","event_id":"sha256:6e55f96f187c59c127f93c4db83a30042ccc023280d58d1d150b80614d5f4a0e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:SI4RWBL6SSKJPMTMBEA5FPO3OD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Vacuum Structure of Light-Front $\\phi^4_{1+1}$-Theory","license":"","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"B. Zellermann, C. Stern, E. Werner, T. Heinzl","submitted_at":"1995-12-21T15:53:42Z","abstract_excerpt":"We discuss the vacuum structure of $\\phi^4$-theory in 1+1 dimensions quantised on the light-front $x^+ =0$. To this end, one has to solve a non-linear, operator-valued constraint equation. It expresses that mode of the field operator having longitudinal light-front momentum equal to zero, as a function of all the other modes in the theory. We analyse whether this zero mode can lead to a non-vanishing vacuum expectation value of the field $\\phi$ and thus to spontaneous symmetry breaking. In perturbation theory, we get no symmetry breaking. If we solve the constraint, however, non-perturbatively"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512179","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9512179/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:59:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4VBl/zRUbnV2wA4BJRuetbfph4M8ebpziRzct0LmD1/9OC2SgCRKvFChcfsa/trPaegxtCG2fuYspleayeMzCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T18:54:06.305005Z"},"content_sha256":"aea2cc7efb5a94ed1c965b4194934bc259fa99a17adb25df9d046ff8f76b8bca","schema_version":"1.0","event_id":"sha256:aea2cc7efb5a94ed1c965b4194934bc259fa99a17adb25df9d046ff8f76b8bca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/bundle.json","state_url":"https://pith.science/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/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":"2026-08-16T18:54:06Z","links":{"resolver":"https://pith.science/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD","bundle":"https://pith.science/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/bundle.json","state":"https://pith.science/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SI4RWBL6SSKJPMTMBEA5FPO3OD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:SI4RWBL6SSKJPMTMBEA5FPO3OD","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":"ec94a8739e525cc74e633449d680bd4287fed4859820e52c011970f143ab509b","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-21T15:53:42Z","title_canon_sha256":"55b4fb969fd4ac9ff5568e08071d879c313ccec57b59fa434ff5c87ad7aeb189"},"schema_version":"1.0","source":{"id":"hep-th/9512179","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9512179","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9512179v1","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9512179","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_12","alias_value":"SI4RWBL6SSKJ","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_16","alias_value":"SI4RWBL6SSKJPMTM","created_at":"2026-07-04T15:59:48Z"},{"alias_kind":"pith_short_8","alias_value":"SI4RWBL6","created_at":"2026-07-04T15:59:48Z"}],"graph_snapshots":[{"event_id":"sha256:aea2cc7efb5a94ed1c965b4194934bc259fa99a17adb25df9d046ff8f76b8bca","target":"graph","created_at":"2026-07-04T15:59:48Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9512179/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the vacuum structure of $\\phi^4$-theory in 1+1 dimensions quantised on the light-front $x^+ =0$. To this end, one has to solve a non-linear, operator-valued constraint equation. It expresses that mode of the field operator having longitudinal light-front momentum equal to zero, as a function of all the other modes in the theory. We analyse whether this zero mode can lead to a non-vanishing vacuum expectation value of the field $\\phi$ and thus to spontaneous symmetry breaking. In perturbation theory, we get no symmetry breaking. If we solve the constraint, however, non-perturbatively","authors_text":"B. Zellermann, C. Stern, E. Werner, T. Heinzl","cross_cats":["hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-12-21T15:53:42Z","title":"The Vacuum Structure of Light-Front $\\phi^4_{1+1}$-Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9512179","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":"sha256:6e55f96f187c59c127f93c4db83a30042ccc023280d58d1d150b80614d5f4a0e","target":"record","created_at":"2026-07-04T15:59:48Z","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":"ec94a8739e525cc74e633449d680bd4287fed4859820e52c011970f143ab509b","cross_cats_sorted":["hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1995-12-21T15:53:42Z","title_canon_sha256":"55b4fb969fd4ac9ff5568e08071d879c313ccec57b59fa434ff5c87ad7aeb189"},"schema_version":"1.0","source":{"id":"hep-th/9512179","kind":"arxiv","version":1}},"canonical_sha256":"92391b057e949497b26c0901d2bddb70d37c36457a2b01563634af29161f09fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92391b057e949497b26c0901d2bddb70d37c36457a2b01563634af29161f09fc","first_computed_at":"2026-07-04T15:59:48.653405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:48.653405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C2/VfBTw8W3FSGuDgQIcPF7k0FlZrY42v1UjfoAnFUM2eP9i91XvhMi6vR5dulY1scva57vziNIHJS6RgjdjAA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:48.653748Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9512179","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6e55f96f187c59c127f93c4db83a30042ccc023280d58d1d150b80614d5f4a0e","sha256:aea2cc7efb5a94ed1c965b4194934bc259fa99a17adb25df9d046ff8f76b8bca"],"state_sha256":"0d86d29b30e0057a5229bcd915d94ba015236c356ee5c9371089d763b95ebe07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mzkgi2pdJvP7SgBPDLiBqIs6X7fPzttXq414Qf/cAE8Bc7lrFtreiVtYJR3fPjmCqKA9dbu+y2MLBQF6I9WYDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T18:54:06.311259Z","bundle_sha256":"c6b2694a1435acbb3853c15618cc3ce5cd6ac0e48ac15bef783cd3536bbe56ef"}}