{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:D664675PLZLP4BC346AD7TDCR5","short_pith_number":"pith:D664675P","canonical_record":{"source":{"id":"astro-ph/0606168","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-07T19:53:38Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f6377a848932526ef2a305cff37cbd2894a705e040d57fdc4fa2db269ea8469f","abstract_canon_sha256":"6661569b7b934290eb2aee75556e467e92892af448f22dbb5a8fd2bccd88e2e2"},"schema_version":"1.0"},"canonical_sha256":"1fbdcf7faf5e56fe045be7803fcc628f7f280592bbab12a8801382fc4bd09e50","source":{"kind":"arxiv","id":"astro-ph/0606168","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0606168","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0606168v1","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0606168","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"D664675PLZLP","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_16","alias_value":"D664675PLZLP4BC3","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_8","alias_value":"D664675P","created_at":"2026-07-04T16:58:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:D664675PLZLP4BC346AD7TDCR5","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0606168","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-07T19:53:38Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"f6377a848932526ef2a305cff37cbd2894a705e040d57fdc4fa2db269ea8469f","abstract_canon_sha256":"6661569b7b934290eb2aee75556e467e92892af448f22dbb5a8fd2bccd88e2e2"},"schema_version":"1.0"},"canonical_sha256":"1fbdcf7faf5e56fe045be7803fcc628f7f280592bbab12a8801382fc4bd09e50","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:58:50.648309Z","signature_b64":"gkqqxoDxKRcu/AGK0mUUmN8a+ZehM2qGZIfyAmjLQ57Coe4Of2UuFLLPKyutn0OLIMLXCZobGgMEj6wyCBQ4AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1fbdcf7faf5e56fe045be7803fcc628f7f280592bbab12a8801382fc4bd09e50","last_reissued_at":"2026-07-04T16:58:50.647874Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:58:50.647874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0606168","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":"2026-07-04T16:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"04vz5ybZKK9J5PccsUIr3d4XSrA/24vZm4MZ6lvHicsy1Q0YY/i4mB5ev/vzdFJrww1EQ/UabUgGJs70C8P7CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:02:44.067005Z"},"content_sha256":"6b56b0900e7528e8e4d125bdd9a2cf9a7c3c40f556fa20d6c0f1767078fd8f2a","schema_version":"1.0","event_id":"sha256:6b56b0900e7528e8e4d125bdd9a2cf9a7c3c40f556fa20d6c0f1767078fd8f2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:D664675PLZLP4BC346AD7TDCR5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near Scale Invariance with Modified Dispersion Relations","license":"","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph","authors_text":"C. Armendariz-Picon","submitted_at":"2006-06-07T19:53:38Z","abstract_excerpt":"We describe a novel mechanism to seed a nearly scale invariant spectrum of adiabatic perturbations during a non-inflationary stage. It relies on a modified dispersion relation that contains higher powers of the spatial momentum of matter perturbations. We implement this idea in the context of a massless scalar field in an otherwise perfectly homogeneous universe. The couplings of the field to background scalars and tensors give rise to the required modification of its dispersion relation, and the couplings of the scalar to matter result in an adiabatic primordial spectrum. This work is meant t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0606168","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/astro-ph/0606168/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":"2026-07-04T16:58:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cpoXDo4IB/849zmN/1Z7X4BbnYzQeaH5Wk55+tTvaHmkc+BjiWsJi4nx/HFyVP7dAF114rOtCk60QPdmUCE3AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T08:02:44.067390Z"},"content_sha256":"9ea9566d420db02cdc442896ae25a037359e06b5ec7389f4528941058dc41470","schema_version":"1.0","event_id":"sha256:9ea9566d420db02cdc442896ae25a037359e06b5ec7389f4528941058dc41470"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D664675PLZLP4BC346AD7TDCR5/bundle.json","state_url":"https://pith.science/pith/D664675PLZLP4BC346AD7TDCR5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D664675PLZLP4BC346AD7TDCR5/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":"2026-07-05T08:02:44Z","links":{"resolver":"https://pith.science/pith/D664675PLZLP4BC346AD7TDCR5","bundle":"https://pith.science/pith/D664675PLZLP4BC346AD7TDCR5/bundle.json","state":"https://pith.science/pith/D664675PLZLP4BC346AD7TDCR5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D664675PLZLP4BC346AD7TDCR5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:D664675PLZLP4BC346AD7TDCR5","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":"6661569b7b934290eb2aee75556e467e92892af448f22dbb5a8fd2bccd88e2e2","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-07T19:53:38Z","title_canon_sha256":"f6377a848932526ef2a305cff37cbd2894a705e040d57fdc4fa2db269ea8469f"},"schema_version":"1.0","source":{"id":"astro-ph/0606168","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0606168","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0606168v1","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0606168","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_12","alias_value":"D664675PLZLP","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_16","alias_value":"D664675PLZLP4BC3","created_at":"2026-07-04T16:58:50Z"},{"alias_kind":"pith_short_8","alias_value":"D664675P","created_at":"2026-07-04T16:58:50Z"}],"graph_snapshots":[{"event_id":"sha256:9ea9566d420db02cdc442896ae25a037359e06b5ec7389f4528941058dc41470","target":"graph","created_at":"2026-07-04T16:58:50Z","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/0606168/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe a novel mechanism to seed a nearly scale invariant spectrum of adiabatic perturbations during a non-inflationary stage. It relies on a modified dispersion relation that contains higher powers of the spatial momentum of matter perturbations. We implement this idea in the context of a massless scalar field in an otherwise perfectly homogeneous universe. The couplings of the field to background scalars and tensors give rise to the required modification of its dispersion relation, and the couplings of the scalar to matter result in an adiabatic primordial spectrum. This work is meant t","authors_text":"C. Armendariz-Picon","cross_cats":["gr-qc","hep-th"],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2006-06-07T19:53:38Z","title":"Near Scale Invariance with Modified Dispersion Relations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0606168","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":"sha256:6b56b0900e7528e8e4d125bdd9a2cf9a7c3c40f556fa20d6c0f1767078fd8f2a","target":"record","created_at":"2026-07-04T16:58:50Z","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":"6661569b7b934290eb2aee75556e467e92892af448f22dbb5a8fd2bccd88e2e2","cross_cats_sorted":["gr-qc","hep-th"],"license":"","primary_cat":"astro-ph","submitted_at":"2006-06-07T19:53:38Z","title_canon_sha256":"f6377a848932526ef2a305cff37cbd2894a705e040d57fdc4fa2db269ea8469f"},"schema_version":"1.0","source":{"id":"astro-ph/0606168","kind":"arxiv","version":1}},"canonical_sha256":"1fbdcf7faf5e56fe045be7803fcc628f7f280592bbab12a8801382fc4bd09e50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1fbdcf7faf5e56fe045be7803fcc628f7f280592bbab12a8801382fc4bd09e50","first_computed_at":"2026-07-04T16:58:50.647874Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:58:50.647874Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gkqqxoDxKRcu/AGK0mUUmN8a+ZehM2qGZIfyAmjLQ57Coe4Of2UuFLLPKyutn0OLIMLXCZobGgMEj6wyCBQ4AQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:58:50.648309Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0606168","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b56b0900e7528e8e4d125bdd9a2cf9a7c3c40f556fa20d6c0f1767078fd8f2a","sha256:9ea9566d420db02cdc442896ae25a037359e06b5ec7389f4528941058dc41470"],"state_sha256":"e78bf099f8cc19bf65b76053d39d0e962ccd18ccc42e5b72edafbb11a4969a73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOAKq7JyNOexXDF8npqpyxgfBJGABLjSvAuXM9NpXcr1Nn94pLnO/yrq5bDcT+pHMhmgv8zmNJZz3o2GDmAOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T08:02:44.069371Z","bundle_sha256":"b24ddb1410b84f4fc3aa2a721876e570d914a2a4d34003ce845e88afcd820bfb"}}