{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:M4ITBBC4AVZ3ZVTCPMWRDXLL3T","short_pith_number":"pith:M4ITBBC4","canonical_record":{"source":{"id":"1412.0887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-02T12:31:05Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"47d1c2e901f140fa8419c7043cbab33fc173c86764c6e82b3af4a5b3c78107eb","abstract_canon_sha256":"8d3d9f49e2021295fe12b919292536df728359e71aa12f9f7ccfcb947a676519"},"schema_version":"1.0"},"canonical_sha256":"671130845c0573bcd6627b2d11dd6bdcfee1750b91082645095f7f11cf75201e","source":{"kind":"arxiv","id":"1412.0887","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0887","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0887v1","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0887","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"M4ITBBC4AVZ3","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M4ITBBC4AVZ3ZVTC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M4ITBBC4","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:M4ITBBC4AVZ3ZVTCPMWRDXLL3T","target":"record","payload":{"canonical_record":{"source":{"id":"1412.0887","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-02T12:31:05Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"47d1c2e901f140fa8419c7043cbab33fc173c86764c6e82b3af4a5b3c78107eb","abstract_canon_sha256":"8d3d9f49e2021295fe12b919292536df728359e71aa12f9f7ccfcb947a676519"},"schema_version":"1.0"},"canonical_sha256":"671130845c0573bcd6627b2d11dd6bdcfee1750b91082645095f7f11cf75201e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:24.211680Z","signature_b64":"3VU9ZNJZslpS+Gbox8tX4QiUolh+E8jObFm0fnQm+LhH0+68Ta3klu6rGSmFTpiWWxDG9HmxpbqtexFcP2R0Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"671130845c0573bcd6627b2d11dd6bdcfee1750b91082645095f7f11cf75201e","last_reissued_at":"2026-05-18T01:41:24.210918Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:24.210918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.0887","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":"2026-05-18T01:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MpBK2Tl/0Jldn2W8hZeO4kWZsmRot3vBwHgTPHSlnMTkds/WwRN6h39MvZ16BJ6V8YirAs+r6pcRFHDDNDywDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:59:41.783715Z"},"content_sha256":"0f095027bc5e6d7357ea86d8a1b1dfcb43155731c8906c7ad97e066f1edd71ff","schema_version":"1.0","event_id":"sha256:0f095027bc5e6d7357ea86d8a1b1dfcb43155731c8906c7ad97e066f1edd71ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:M4ITBBC4AVZ3ZVTCPMWRDXLL3T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CHIRON: a package for ChPT numerical results at two loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Johan Bijnens (Lund)","submitted_at":"2014-12-02T12:31:05Z","abstract_excerpt":"This document describes the package CHIRON which includes two libraries, chiron itself and jbnumlib.\n  CHIRON is a set of routines useful for two-loop numerical results in Chiral Perturbation Theory (ChPT). It includes programs for the needed one- and two-loop integrals as well as routines to deal with the ChPT parameters. The present version includes everything needed for the masses, decay constants and quark-antiquark vacuum-expectation-values. An added routine calculates consistent values for the masses and decay constants when the pion and kaon masses are varied. In addition a number of fi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0887","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":"2026-05-18T01:41:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Grsn1pjnSvqrfzzIREHVhF30Qxb9nAxdHSPSGIx/XenxelM6tSAczCiSLNOodZ5rnYudS1dbynPMWrTBhpfAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T14:59:41.784137Z"},"content_sha256":"0da5037d176eb357e02c952cf05a5b22eb06abbc5352d429449256a746c9e84a","schema_version":"1.0","event_id":"sha256:0da5037d176eb357e02c952cf05a5b22eb06abbc5352d429449256a746c9e84a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/bundle.json","state_url":"https://pith.science/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/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":"2026-05-29T14:59:41Z","links":{"resolver":"https://pith.science/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T","bundle":"https://pith.science/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/bundle.json","state":"https://pith.science/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M4ITBBC4AVZ3ZVTCPMWRDXLL3T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:M4ITBBC4AVZ3ZVTCPMWRDXLL3T","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":"8d3d9f49e2021295fe12b919292536df728359e71aa12f9f7ccfcb947a676519","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-02T12:31:05Z","title_canon_sha256":"47d1c2e901f140fa8419c7043cbab33fc173c86764c6e82b3af4a5b3c78107eb"},"schema_version":"1.0","source":{"id":"1412.0887","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0887","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0887v1","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0887","created_at":"2026-05-18T01:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"M4ITBBC4AVZ3","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"M4ITBBC4AVZ3ZVTC","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"M4ITBBC4","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:0da5037d176eb357e02c952cf05a5b22eb06abbc5352d429449256a746c9e84a","target":"graph","created_at":"2026-05-18T01:41:24Z","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 document describes the package CHIRON which includes two libraries, chiron itself and jbnumlib.\n  CHIRON is a set of routines useful for two-loop numerical results in Chiral Perturbation Theory (ChPT). It includes programs for the needed one- and two-loop integrals as well as routines to deal with the ChPT parameters. The present version includes everything needed for the masses, decay constants and quark-antiquark vacuum-expectation-values. An added routine calculates consistent values for the masses and decay constants when the pion and kaon masses are varied. In addition a number of fi","authors_text":"Johan Bijnens (Lund)","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-02T12:31:05Z","title":"CHIRON: a package for ChPT numerical results at two loops"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0887","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":"sha256:0f095027bc5e6d7357ea86d8a1b1dfcb43155731c8906c7ad97e066f1edd71ff","target":"record","created_at":"2026-05-18T01:41:24Z","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":"8d3d9f49e2021295fe12b919292536df728359e71aa12f9f7ccfcb947a676519","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-02T12:31:05Z","title_canon_sha256":"47d1c2e901f140fa8419c7043cbab33fc173c86764c6e82b3af4a5b3c78107eb"},"schema_version":"1.0","source":{"id":"1412.0887","kind":"arxiv","version":1}},"canonical_sha256":"671130845c0573bcd6627b2d11dd6bdcfee1750b91082645095f7f11cf75201e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"671130845c0573bcd6627b2d11dd6bdcfee1750b91082645095f7f11cf75201e","first_computed_at":"2026-05-18T01:41:24.210918Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:24.210918Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3VU9ZNJZslpS+Gbox8tX4QiUolh+E8jObFm0fnQm+LhH0+68Ta3klu6rGSmFTpiWWxDG9HmxpbqtexFcP2R0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:24.211680Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0887","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f095027bc5e6d7357ea86d8a1b1dfcb43155731c8906c7ad97e066f1edd71ff","sha256:0da5037d176eb357e02c952cf05a5b22eb06abbc5352d429449256a746c9e84a"],"state_sha256":"6b9217f6779f4e6cefeccc7be4413ec433330175e73a641fc49e6bf6ffaa11b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GdGD71Y8GD52+ijIPtN5UZ6GfWcBE4nmFiGsN/Y7Zi/svyY1kPLV+LBCXGBzUdpEcRP6aq1UjOvKU64fAYIOBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T14:59:41.786730Z","bundle_sha256":"31447295df53d1f5621d804cbae2270fb7c338be7be1d4927d0dd08d541fe48b"}}