{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:5O7RGHYJSYA57XUQKBIFPQF3W3","short_pith_number":"pith:5O7RGHYJ","canonical_record":{"source":{"id":"hep-ph/0007159","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-14T22:16:55Z","cross_cats_sorted":[],"title_canon_sha256":"6e0c3f137fbe0df29cbbfa069a2a46b5ff8761b23c471987c87c3fa5f7798a1d","abstract_canon_sha256":"b80a737818c31ad9dfb9c20385f5556c3c96be540b07e2eefb0d079c156bfc00"},"schema_version":"1.0"},"canonical_sha256":"ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7","source":{"kind":"arxiv","id":"hep-ph/0007159","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007159","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007159v2","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007159","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"5O7RGHYJSYA5","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_16","alias_value":"5O7RGHYJSYA57XUQ","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_8","alias_value":"5O7RGHYJ","created_at":"2026-07-04T16:20:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:5O7RGHYJSYA57XUQKBIFPQF3W3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0007159","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-14T22:16:55Z","cross_cats_sorted":[],"title_canon_sha256":"6e0c3f137fbe0df29cbbfa069a2a46b5ff8761b23c471987c87c3fa5f7798a1d","abstract_canon_sha256":"b80a737818c31ad9dfb9c20385f5556c3c96be540b07e2eefb0d079c156bfc00"},"schema_version":"1.0"},"canonical_sha256":"ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:20:14.734304Z","signature_b64":"qo+rTtkzdMmz2cBw+dhJ3p+rVtG+AYVl6bpJqqO6zbQH5lnVQc75SalYSJa07C7KiruHpm3Tv5zNwT/4rkXWCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7","last_reissued_at":"2026-07-04T16:20:14.733949Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:20:14.733949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0007159","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":"2026-07-04T16:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/PrNRmcZ/z9zDfRzoPJZBGP3q0pyOYn1dO1kphHbz9gtv8MqYvaL90scI9Gd5w5nkP7heXSI12LMJkP+syNlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:27:06.898612Z"},"content_sha256":"dd96b0dfa33d83be1f1ff1fcafb3d8af07bbb4d402b1551bed8bc1c66c13f334","schema_version":"1.0","event_id":"sha256:dd96b0dfa33d83be1f1ff1fcafb3d8af07bbb4d402b1551bed8bc1c66c13f334"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:5O7RGHYJSYA57XUQKBIFPQF3W3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Screened Perturbation Theory to Three Loops","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Eric Braaten, Jens O. Andersen, Michael Strickland","submitted_at":"2000-07-14T22:16:55Z","abstract_excerpt":"The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian. We consider several different mass prescriptions that generalize the one-loop gap equation to two-loop order. We calculate the pressure and entropy to three-loop order and the screening mass to two-loop order. In contrast to the weak-coupling expansion, the SPT-improved approximations appear to converge even for rather large values of the coupling constant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007159","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0007159/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":"2026-07-04T16:20:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lLm/menemh3R4k3vbAa99HEkAoke+iXJ9cHUH2Kfusocis9IZDrPf7jPQulo74Dd7oQIzfmLtA70lofEXXuPAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T10:27:06.899539Z"},"content_sha256":"4d8632fdb650aee114e0ae76b1e5417ed4fe07fc00f2169e2ea723b1223d6d74","schema_version":"1.0","event_id":"sha256:4d8632fdb650aee114e0ae76b1e5417ed4fe07fc00f2169e2ea723b1223d6d74"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/bundle.json","state_url":"https://pith.science/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/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":"2026-08-13T10:27:06Z","links":{"resolver":"https://pith.science/pith/5O7RGHYJSYA57XUQKBIFPQF3W3","bundle":"https://pith.science/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/bundle.json","state":"https://pith.science/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5O7RGHYJSYA57XUQKBIFPQF3W3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:5O7RGHYJSYA57XUQKBIFPQF3W3","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":"b80a737818c31ad9dfb9c20385f5556c3c96be540b07e2eefb0d079c156bfc00","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-14T22:16:55Z","title_canon_sha256":"6e0c3f137fbe0df29cbbfa069a2a46b5ff8761b23c471987c87c3fa5f7798a1d"},"schema_version":"1.0","source":{"id":"hep-ph/0007159","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0007159","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0007159v2","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0007159","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_12","alias_value":"5O7RGHYJSYA5","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_16","alias_value":"5O7RGHYJSYA57XUQ","created_at":"2026-07-04T16:20:14Z"},{"alias_kind":"pith_short_8","alias_value":"5O7RGHYJ","created_at":"2026-07-04T16:20:14Z"}],"graph_snapshots":[{"event_id":"sha256:4d8632fdb650aee114e0ae76b1e5417ed4fe07fc00f2169e2ea723b1223d6d74","target":"graph","created_at":"2026-07-04T16:20:14Z","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-ph/0007159/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The thermal physics of a massless scalar field with a phi^4 interaction is studied within screened perturbation theory (SPT). In this method the perturbative expansion is reorganized by adding and subtracting a mass term in the lagrangian. We consider several different mass prescriptions that generalize the one-loop gap equation to two-loop order. We calculate the pressure and entropy to three-loop order and the screening mass to two-loop order. In contrast to the weak-coupling expansion, the SPT-improved approximations appear to converge even for rather large values of the coupling constant.","authors_text":"Eric Braaten, Jens O. Andersen, Michael Strickland","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2000-07-14T22:16:55Z","title":"Screened Perturbation Theory to Three Loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0007159","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:dd96b0dfa33d83be1f1ff1fcafb3d8af07bbb4d402b1551bed8bc1c66c13f334","target":"record","created_at":"2026-07-04T16:20:14Z","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":"b80a737818c31ad9dfb9c20385f5556c3c96be540b07e2eefb0d079c156bfc00","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2000-07-14T22:16:55Z","title_canon_sha256":"6e0c3f137fbe0df29cbbfa069a2a46b5ff8761b23c471987c87c3fa5f7798a1d"},"schema_version":"1.0","source":{"id":"hep-ph/0007159","kind":"arxiv","version":2}},"canonical_sha256":"ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebbf131f099601dfde90505057c0bbb6d8dfaa0aca6ddd6d6436b102d00423f7","first_computed_at":"2026-07-04T16:20:14.733949Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:20:14.733949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qo+rTtkzdMmz2cBw+dhJ3p+rVtG+AYVl6bpJqqO6zbQH5lnVQc75SalYSJa07C7KiruHpm3Tv5zNwT/4rkXWCA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:20:14.734304Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0007159","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd96b0dfa33d83be1f1ff1fcafb3d8af07bbb4d402b1551bed8bc1c66c13f334","sha256:4d8632fdb650aee114e0ae76b1e5417ed4fe07fc00f2169e2ea723b1223d6d74"],"state_sha256":"d5937326443f16eefb8e75df3f849a89df0b6919bea55f90133350809efea0a0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q1sWrgz3bDNpFLcs4qKQGrW46QNHz5lLXaEKfkzhqNH3E9ifBsK5f5nPQ0pbU3nOHqOB7IWVq9VrXL+bTBlnAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T10:27:06.905107Z","bundle_sha256":"b95067757ecb3c0f0a623611c69af44036f007a2ca25b8207ffbee64a2ee9f78"}}