{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:3MNNKZYQFO3JCP2PIIZC4P6JE2","short_pith_number":"pith:3MNNKZYQ","canonical_record":{"source":{"id":"0710.3600","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-10-18T21:12:29Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"6d94f9dafadad91cb2cda02f51e8fe087572b9c00c4a61a58e9f3d8936bf83f7","abstract_canon_sha256":"dc16adcda38ed8fec706a0bd1d830a71639148fa91ccfa2e18376b6d8cc191b5"},"schema_version":"1.0"},"canonical_sha256":"db1ad567102bb6913f4f42322e3fc926977a0748a4fd1909bcf5d3dcabfd4545","source":{"kind":"arxiv","id":"0710.3600","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.3600","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"arxiv_version","alias_value":"0710.3600v1","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.3600","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_12","alias_value":"3MNNKZYQFO3J","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_16","alias_value":"3MNNKZYQFO3JCP2P","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_8","alias_value":"3MNNKZYQ","created_at":"2026-07-04T15:05:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:3MNNKZYQFO3JCP2PIIZC4P6JE2","target":"record","payload":{"canonical_record":{"source":{"id":"0710.3600","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2007-10-18T21:12:29Z","cross_cats_sorted":["math.ST","stat.TH"],"title_canon_sha256":"6d94f9dafadad91cb2cda02f51e8fe087572b9c00c4a61a58e9f3d8936bf83f7","abstract_canon_sha256":"dc16adcda38ed8fec706a0bd1d830a71639148fa91ccfa2e18376b6d8cc191b5"},"schema_version":"1.0"},"canonical_sha256":"db1ad567102bb6913f4f42322e3fc926977a0748a4fd1909bcf5d3dcabfd4545","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:05:02.431473Z","signature_b64":"YEJKdlXTS76lRDlERQucAPSOLCqBXcfzbB4g1RsXvm4lUfKlmxh/vjZJqcLO45IykFi4WjwBBGsk6QiwqS0oBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"db1ad567102bb6913f4f42322e3fc926977a0748a4fd1909bcf5d3dcabfd4545","last_reissued_at":"2026-07-04T15:05:02.431063Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:05:02.431063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0710.3600","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":"2026-07-04T15:05:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GknTgyAg7SiBssARErnuQzfbeCU6vHadDiHWteWednGdqxnCEDyKmHbeb0CGnGdeiQQtjnQTX19Jgz6sgN5QCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:21:19.721586Z"},"content_sha256":"2d1859a3d96ec318c42a229249a6f6d2468f0622ecb4c45868ad6d81ee64369e","schema_version":"1.0","event_id":"sha256:2d1859a3d96ec318c42a229249a6f6d2468f0622ecb4c45868ad6d81ee64369e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:3MNNKZYQFO3JCP2PIIZC4P6JE2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical Methods for Investigating the Cosmic Ray Energy Spectrum","license":"","headline":"","cross_cats":["math.ST","stat.TH"],"primary_cat":"astro-ph","authors_text":"B. R. Becker, J. A. J. Matthews, J. D. Hague, J. Urb\\'a\\v{r}, M. S. Gold","submitted_at":"2007-10-18T21:12:29Z","abstract_excerpt":"Two separate statistical tests are described and developed in order to test un-binned data sets for adherence to the power-law form. The first test employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power-law form, regardless of the value of the power index. The second test employs a likelihood ratio test to reject a power-law background in favor of a model signal distribution with a cut-off."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.3600","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/0710.3600/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":"2026-07-04T15:05:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dBVpYqFvlXoKVrGi/DfcQEiGUp+R0cW0l0/XLl7hv0NGbiZzLzZV77/OcEGFYZMjGOLOicTM8tJSB+FOe703Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-07T14:21:19.721961Z"},"content_sha256":"27a1192596140be7475c9bc602ddbf2b58f47f944cf69ade1a8f0b540bab5e35","schema_version":"1.0","event_id":"sha256:27a1192596140be7475c9bc602ddbf2b58f47f944cf69ade1a8f0b540bab5e35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/bundle.json","state_url":"https://pith.science/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/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":"2026-07-07T14:21:19Z","links":{"resolver":"https://pith.science/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2","bundle":"https://pith.science/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/bundle.json","state":"https://pith.science/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3MNNKZYQFO3JCP2PIIZC4P6JE2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:3MNNKZYQFO3JCP2PIIZC4P6JE2","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":"dc16adcda38ed8fec706a0bd1d830a71639148fa91ccfa2e18376b6d8cc191b5","cross_cats_sorted":["math.ST","stat.TH"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-10-18T21:12:29Z","title_canon_sha256":"6d94f9dafadad91cb2cda02f51e8fe087572b9c00c4a61a58e9f3d8936bf83f7"},"schema_version":"1.0","source":{"id":"0710.3600","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0710.3600","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"arxiv_version","alias_value":"0710.3600v1","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0710.3600","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_12","alias_value":"3MNNKZYQFO3J","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_16","alias_value":"3MNNKZYQFO3JCP2P","created_at":"2026-07-04T15:05:02Z"},{"alias_kind":"pith_short_8","alias_value":"3MNNKZYQ","created_at":"2026-07-04T15:05:02Z"}],"graph_snapshots":[{"event_id":"sha256:27a1192596140be7475c9bc602ddbf2b58f47f944cf69ade1a8f0b540bab5e35","target":"graph","created_at":"2026-07-04T15:05:02Z","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/0710.3600/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Two separate statistical tests are described and developed in order to test un-binned data sets for adherence to the power-law form. The first test employs the TP-statistic, a function defined to deviate from zero when the sample deviates from the power-law form, regardless of the value of the power index. The second test employs a likelihood ratio test to reject a power-law background in favor of a model signal distribution with a cut-off.","authors_text":"B. R. Becker, J. A. J. Matthews, J. D. Hague, J. Urb\\'a\\v{r}, M. S. Gold","cross_cats":["math.ST","stat.TH"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2007-10-18T21:12:29Z","title":"Statistical Methods for Investigating the Cosmic Ray Energy Spectrum"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.3600","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":"sha256:2d1859a3d96ec318c42a229249a6f6d2468f0622ecb4c45868ad6d81ee64369e","target":"record","created_at":"2026-07-04T15:05:02Z","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":"dc16adcda38ed8fec706a0bd1d830a71639148fa91ccfa2e18376b6d8cc191b5","cross_cats_sorted":["math.ST","stat.TH"],"license":"","primary_cat":"astro-ph","submitted_at":"2007-10-18T21:12:29Z","title_canon_sha256":"6d94f9dafadad91cb2cda02f51e8fe087572b9c00c4a61a58e9f3d8936bf83f7"},"schema_version":"1.0","source":{"id":"0710.3600","kind":"arxiv","version":1}},"canonical_sha256":"db1ad567102bb6913f4f42322e3fc926977a0748a4fd1909bcf5d3dcabfd4545","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db1ad567102bb6913f4f42322e3fc926977a0748a4fd1909bcf5d3dcabfd4545","first_computed_at":"2026-07-04T15:05:02.431063Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:05:02.431063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YEJKdlXTS76lRDlERQucAPSOLCqBXcfzbB4g1RsXvm4lUfKlmxh/vjZJqcLO45IykFi4WjwBBGsk6QiwqS0oBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:05:02.431473Z","signed_message":"canonical_sha256_bytes"},"source_id":"0710.3600","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d1859a3d96ec318c42a229249a6f6d2468f0622ecb4c45868ad6d81ee64369e","sha256:27a1192596140be7475c9bc602ddbf2b58f47f944cf69ade1a8f0b540bab5e35"],"state_sha256":"7418110e0f6c50a8da3ce2b80da87f044553ac2bb45d6d197bb091d61498dd7a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HkfBFCsJGg039mf5VmoLI+L520L8HIfrphFKZfXjQ0Wc6VD1Npv4JeY/V6M1LEaG+9WA+bJFb3dq7VCE/sKtBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-07T14:21:19.724050Z","bundle_sha256":"a633a7d34395e9ddd502e6a478ce7ef3d7e41cf9a35e34f400b69e6c7d1f3d25"}}