{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:4EOJHKYSQFD6TGLTJIXLYFCGMQ","short_pith_number":"pith:4EOJHKYS","canonical_record":{"source":{"id":"astro-ph/9807257","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1998-07-24T16:46:46Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"ae64c7e39b43103eebc2068972f8a74d6fa259de65caab88ed6e81820c9af2f2","abstract_canon_sha256":"5b98ea43738f269b22abc9144ec3753a8a4e86aab667f9f7726f60cf5d2dec53"},"schema_version":"1.0"},"canonical_sha256":"e11c93ab128147e999734a2ebc14466438cae6a823695774a2cf0c8694bbb191","source":{"kind":"arxiv","id":"astro-ph/9807257","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9807257","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9807257v2","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9807257","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"4EOJHKYSQFD6","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_16","alias_value":"4EOJHKYSQFD6TGLT","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_8","alias_value":"4EOJHKYS","created_at":"2026-07-04T16:06:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:4EOJHKYSQFD6TGLTJIXLYFCGMQ","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9807257","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1998-07-24T16:46:46Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"ae64c7e39b43103eebc2068972f8a74d6fa259de65caab88ed6e81820c9af2f2","abstract_canon_sha256":"5b98ea43738f269b22abc9144ec3753a8a4e86aab667f9f7726f60cf5d2dec53"},"schema_version":"1.0"},"canonical_sha256":"e11c93ab128147e999734a2ebc14466438cae6a823695774a2cf0c8694bbb191","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:06:52.616272Z","signature_b64":"HhAgA3LpFNOf06Hl7Ct5p5E+B5iGvruk9FUPhYr+ArXWJUwtJCufcUJg8vx4jqpZXASROihVJySvAyuJEQ/eCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e11c93ab128147e999734a2ebc14466438cae6a823695774a2cf0c8694bbb191","last_reissued_at":"2026-07-04T16:06:52.615754Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:06:52.615754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9807257","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":"2026-07-04T16:06:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"awxgmVhS9Wtwnwi4FIplezoCNtNN6GJQA9gtnsLBgrsDle2jytv/TgD81+lmhZiKvza0z+KZUROQN/z5J2h2Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:18:16.927636Z"},"content_sha256":"1298080048540d2b2ab3bb5808ed1c521175dcdf365b16eb7c39d79ca018b676","schema_version":"1.0","event_id":"sha256:1298080048540d2b2ab3bb5808ed1c521175dcdf365b16eb7c39d79ca018b676"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:4EOJHKYSQFD6TGLTJIXLYFCGMQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Amplification of Cosmological Inhomogeneities by the QCD Transition","license":"","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"astro-ph","authors_text":"Christoph Schmid (1), Dominik J. Schwarz (2), Peter Widerin (1)","submitted_at":"1998-07-24T16:46:46Z","abstract_excerpt":"The cosmological QCD transition affects primordial density perturbations. If the QCD transition is first order, the sound speed vanishes during the transition and density perturbations fall freely. For scales below the Hubble radius at the transition the primordial Harrison-Zel'dovich spectrum of density fluctuations develops large peaks and dips. These peaks grow with wave number for both the hadron-photon-lepton fluid and for cold dark matter. At the horizon scale the enhancement is small. This by itself does not lead to the formation of black holes at the QCD transition. The peaks in the ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9807257","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/astro-ph/9807257/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":"2026-07-04T16:06:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tA41l5dI7qyDUNu8wc6hx3NHPfVnPSxR/VpN0rC/+LeJsWfSHGiOt73+KkotvrpWyVGNsygtkqktVSJB6eK6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T11:18:16.928987Z"},"content_sha256":"80dde44ab9cc15a6960282c9ad03de633fbebab0f94be860f95c7085b6688b53","schema_version":"1.0","event_id":"sha256:80dde44ab9cc15a6960282c9ad03de633fbebab0f94be860f95c7085b6688b53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/bundle.json","state_url":"https://pith.science/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/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":"2026-08-05T11:18:16Z","links":{"resolver":"https://pith.science/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ","bundle":"https://pith.science/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/bundle.json","state":"https://pith.science/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4EOJHKYSQFD6TGLTJIXLYFCGMQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:4EOJHKYSQFD6TGLTJIXLYFCGMQ","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":"5b98ea43738f269b22abc9144ec3753a8a4e86aab667f9f7726f60cf5d2dec53","cross_cats_sorted":["gr-qc","hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"1998-07-24T16:46:46Z","title_canon_sha256":"ae64c7e39b43103eebc2068972f8a74d6fa259de65caab88ed6e81820c9af2f2"},"schema_version":"1.0","source":{"id":"astro-ph/9807257","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9807257","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9807257v2","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9807257","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_12","alias_value":"4EOJHKYSQFD6","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_16","alias_value":"4EOJHKYSQFD6TGLT","created_at":"2026-07-04T16:06:52Z"},{"alias_kind":"pith_short_8","alias_value":"4EOJHKYS","created_at":"2026-07-04T16:06:52Z"}],"graph_snapshots":[{"event_id":"sha256:80dde44ab9cc15a6960282c9ad03de633fbebab0f94be860f95c7085b6688b53","target":"graph","created_at":"2026-07-04T16:06:52Z","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/astro-ph/9807257/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The cosmological QCD transition affects primordial density perturbations. If the QCD transition is first order, the sound speed vanishes during the transition and density perturbations fall freely. For scales below the Hubble radius at the transition the primordial Harrison-Zel'dovich spectrum of density fluctuations develops large peaks and dips. These peaks grow with wave number for both the hadron-photon-lepton fluid and for cold dark matter. At the horizon scale the enhancement is small. This by itself does not lead to the formation of black holes at the QCD transition. The peaks in the ha","authors_text":"Christoph Schmid (1), Dominik J. Schwarz (2), Peter Widerin (1)","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1998-07-24T16:46:46Z","title":"Amplification of Cosmological Inhomogeneities by the QCD Transition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9807257","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":"sha256:1298080048540d2b2ab3bb5808ed1c521175dcdf365b16eb7c39d79ca018b676","target":"record","created_at":"2026-07-04T16:06:52Z","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":"5b98ea43738f269b22abc9144ec3753a8a4e86aab667f9f7726f60cf5d2dec53","cross_cats_sorted":["gr-qc","hep-ph"],"license":"","primary_cat":"astro-ph","submitted_at":"1998-07-24T16:46:46Z","title_canon_sha256":"ae64c7e39b43103eebc2068972f8a74d6fa259de65caab88ed6e81820c9af2f2"},"schema_version":"1.0","source":{"id":"astro-ph/9807257","kind":"arxiv","version":2}},"canonical_sha256":"e11c93ab128147e999734a2ebc14466438cae6a823695774a2cf0c8694bbb191","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e11c93ab128147e999734a2ebc14466438cae6a823695774a2cf0c8694bbb191","first_computed_at":"2026-07-04T16:06:52.615754Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:06:52.615754Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HhAgA3LpFNOf06Hl7Ct5p5E+B5iGvruk9FUPhYr+ArXWJUwtJCufcUJg8vx4jqpZXASROihVJySvAyuJEQ/eCg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:06:52.616272Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9807257","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1298080048540d2b2ab3bb5808ed1c521175dcdf365b16eb7c39d79ca018b676","sha256:80dde44ab9cc15a6960282c9ad03de633fbebab0f94be860f95c7085b6688b53"],"state_sha256":"4d6d1a9c1561f5fb21ed50abdfbe3a5314bf1d412ac5c59c4c492aa51e82093e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OaDiCPQR317HIYL2DX2x3zAqA9LlAVyiQtTFsfUEH6hK+0vILiJIONZIK1KHukJOiuKy4hZDnNvqKxGz4Na0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T11:18:16.944247Z","bundle_sha256":"21beade1135074079b00bfa51da3ab978059417a37857875bb1152993df359b5"}}