{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:5CT36VH7AOJCWCP476BTW6QABZ","short_pith_number":"pith:5CT36VH7","canonical_record":{"source":{"id":"1412.1341","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-03T14:34:57Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"2d0c48f511c245d19ccd0dfa9a302c08be76bd407e1e7dd33323a9a78a139474","abstract_canon_sha256":"fbd51f03a7fc002063d794ab2fe4e5867351faa7666aba72a84f8830f708fd3b"},"schema_version":"1.0"},"canonical_sha256":"e8a7bf54ff03922b09fcff833b7a000e7569af11eb678dfbbd35f20836cddbe2","source":{"kind":"arxiv","id":"1412.1341","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1341","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1341v2","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1341","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"5CT36VH7AOJC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CT36VH7AOJCWCP4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CT36VH7","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:5CT36VH7AOJCWCP476BTW6QABZ","target":"record","payload":{"canonical_record":{"source":{"id":"1412.1341","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-03T14:34:57Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"2d0c48f511c245d19ccd0dfa9a302c08be76bd407e1e7dd33323a9a78a139474","abstract_canon_sha256":"fbd51f03a7fc002063d794ab2fe4e5867351faa7666aba72a84f8830f708fd3b"},"schema_version":"1.0"},"canonical_sha256":"e8a7bf54ff03922b09fcff833b7a000e7569af11eb678dfbbd35f20836cddbe2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:19:30.563390Z","signature_b64":"8auT1xbLnBvNAyUbIAouQIM3FrOEaXZESwMpv0SzQ3U1Y9WPj1Yn7U55+g7YFc/ktrBZG0RygGZx/THlYkSVAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8a7bf54ff03922b09fcff833b7a000e7569af11eb678dfbbd35f20836cddbe2","last_reissued_at":"2026-05-18T01:19:30.562785Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:19:30.562785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.1341","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":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O/t0lp90E/0E8/imIaBcOF0hVjfbVL6iChffWqtP7xxmBgVUzj8sULv5lq9ZiFVmohpYu9LRzgwE2LCdSoKqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:57:20.824365Z"},"content_sha256":"6ca2cbcd785210c532d9ff05fae52429ed8cd00c26cb8b5fbb1c4bf293e230c9","schema_version":"1.0","event_id":"sha256:6ca2cbcd785210c532d9ff05fae52429ed8cd00c26cb8b5fbb1c4bf293e230c9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:5CT36VH7AOJCWCP476BTW6QABZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the applicability of approximations used in calculation of spectrum of Dark Matter particles produced in particle decays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"hep-ph","authors_text":"Dmitry Gorbunov, Fedor Bezrukov","submitted_at":"2014-12-03T14:34:57Z","abstract_excerpt":"For the Warm Dark Matter (WDM) candidates the momentum distribution of particles becomes important, since it can be probed with observations of Lyman-$\\alpha$ forest structures and confronted with coarse grained phase space density in galaxy clusters. We recall the calculation bt Kaplinghat (2005) of the spectrum in case of dark matter non-thermal production in decays of heavy particles emphasizing on the inherent applicability conditions, which are rather restrictive and sometimes ignored in literature. Cold part of the spectrum requires special care when WDM is considered."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1341","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":"2026-05-18T01:19:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R7BUZgcFerrIxUedDuj0cRLthrl59sDzhN6zvmeeDWH1kZJQqfpPGZJmKDkLWE+IoT3Mq2EVw/W4Oe9TDDQmBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T06:57:20.824729Z"},"content_sha256":"808f91501516ef0bde29d7a9082151d2bb7f8aa711fbd9fef467a1879db1bbf5","schema_version":"1.0","event_id":"sha256:808f91501516ef0bde29d7a9082151d2bb7f8aa711fbd9fef467a1879db1bbf5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5CT36VH7AOJCWCP476BTW6QABZ/bundle.json","state_url":"https://pith.science/pith/5CT36VH7AOJCWCP476BTW6QABZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5CT36VH7AOJCWCP476BTW6QABZ/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":"2026-06-02T06:57:20Z","links":{"resolver":"https://pith.science/pith/5CT36VH7AOJCWCP476BTW6QABZ","bundle":"https://pith.science/pith/5CT36VH7AOJCWCP476BTW6QABZ/bundle.json","state":"https://pith.science/pith/5CT36VH7AOJCWCP476BTW6QABZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5CT36VH7AOJCWCP476BTW6QABZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:5CT36VH7AOJCWCP476BTW6QABZ","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":"fbd51f03a7fc002063d794ab2fe4e5867351faa7666aba72a84f8830f708fd3b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-03T14:34:57Z","title_canon_sha256":"2d0c48f511c245d19ccd0dfa9a302c08be76bd407e1e7dd33323a9a78a139474"},"schema_version":"1.0","source":{"id":"1412.1341","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.1341","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"arxiv_version","alias_value":"1412.1341v2","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.1341","created_at":"2026-05-18T01:19:30Z"},{"alias_kind":"pith_short_12","alias_value":"5CT36VH7AOJC","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"5CT36VH7AOJCWCP4","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"5CT36VH7","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:808f91501516ef0bde29d7a9082151d2bb7f8aa711fbd9fef467a1879db1bbf5","target":"graph","created_at":"2026-05-18T01:19:30Z","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":"For the Warm Dark Matter (WDM) candidates the momentum distribution of particles becomes important, since it can be probed with observations of Lyman-$\\alpha$ forest structures and confronted with coarse grained phase space density in galaxy clusters. We recall the calculation bt Kaplinghat (2005) of the spectrum in case of dark matter non-thermal production in decays of heavy particles emphasizing on the inherent applicability conditions, which are rather restrictive and sometimes ignored in literature. Cold part of the spectrum requires special care when WDM is considered.","authors_text":"Dmitry Gorbunov, Fedor Bezrukov","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-03T14:34:57Z","title":"On the applicability of approximations used in calculation of spectrum of Dark Matter particles produced in particle decays"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.1341","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":"sha256:6ca2cbcd785210c532d9ff05fae52429ed8cd00c26cb8b5fbb1c4bf293e230c9","target":"record","created_at":"2026-05-18T01:19:30Z","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":"fbd51f03a7fc002063d794ab2fe4e5867351faa7666aba72a84f8830f708fd3b","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-12-03T14:34:57Z","title_canon_sha256":"2d0c48f511c245d19ccd0dfa9a302c08be76bd407e1e7dd33323a9a78a139474"},"schema_version":"1.0","source":{"id":"1412.1341","kind":"arxiv","version":2}},"canonical_sha256":"e8a7bf54ff03922b09fcff833b7a000e7569af11eb678dfbbd35f20836cddbe2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8a7bf54ff03922b09fcff833b7a000e7569af11eb678dfbbd35f20836cddbe2","first_computed_at":"2026-05-18T01:19:30.562785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:19:30.562785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8auT1xbLnBvNAyUbIAouQIM3FrOEaXZESwMpv0SzQ3U1Y9WPj1Yn7U55+g7YFc/ktrBZG0RygGZx/THlYkSVAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:19:30.563390Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.1341","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ca2cbcd785210c532d9ff05fae52429ed8cd00c26cb8b5fbb1c4bf293e230c9","sha256:808f91501516ef0bde29d7a9082151d2bb7f8aa711fbd9fef467a1879db1bbf5"],"state_sha256":"d3e67173dfa6f797f35a6e491048ed6bf7a7571bd24b4ad66fdf223e9011f094"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3tJiFhUMOehLy1b7Az9iPHmOqO7YOJFulfgZ2alP9w7Pyr18f/XmbRcV2utT/+Mh/53vedo7UgURjEn2EqlyBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T06:57:20.826759Z","bundle_sha256":"68e83bc0351ea87badeef22f73e6c55ce70eecf021e86e8115e1eeab4e88a6e0"}}