{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:M5I2BXT5IASDXRKFFLWUNVX64J","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":"06761a7043939ed408e0662632e17e29495b64c85e9664dfa7870afa98214422","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-06-22T15:52:44Z","title_canon_sha256":"efc95bafaaa6d1e388b4d82b63edb62708683e6b8edb757fd605c7b4bed279f6"},"schema_version":"1.0","source":{"id":"0906.4046","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.4046","created_at":"2026-07-04T15:53:14Z"},{"alias_kind":"arxiv_version","alias_value":"0906.4046v2","created_at":"2026-07-04T15:53:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.4046","created_at":"2026-07-04T15:53:14Z"},{"alias_kind":"pith_short_12","alias_value":"M5I2BXT5IASD","created_at":"2026-07-04T15:53:14Z"},{"alias_kind":"pith_short_16","alias_value":"M5I2BXT5IASDXRKF","created_at":"2026-07-04T15:53:14Z"},{"alias_kind":"pith_short_8","alias_value":"M5I2BXT5","created_at":"2026-07-04T15:53:14Z"}],"graph_snapshots":[{"event_id":"sha256:7c4e8dcf59e78c220630ac2f2a07391bbdfae728a5a72f09ed03659e3f568b7d","target":"graph","created_at":"2026-07-04T15:53:14Z","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/0906.4046/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We apply a type of background independent \"polymer\" quantization to a free scalar field in a flat spacetime. Using semi-classical states, we find an effective wave equation that is both nonlinear and Lorentz invariance violating. We solve this equation perturbatively for several cases of physical interest, and show that polymer corrections to solutions of the Klein-Gordon equation depend on the amplitude of the field. This leads to an effective dispersion relation that depends on the amplitude, frequency and shape of the wave-packet, and is hence distinct from other modified dispersion relatio","authors_text":"Golam Mortuza Hossain, Sanjeev S. Seahra, Viqar Husain","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-06-22T15:52:44Z","title":"Background independent quantization and wave propagation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.4046","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:aa6b5b46ece5ca318b233bd127d400bad2c849b87efe249e1779c8cca4c6a14b","target":"record","created_at":"2026-07-04T15:53:14Z","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":"06761a7043939ed408e0662632e17e29495b64c85e9664dfa7870afa98214422","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-06-22T15:52:44Z","title_canon_sha256":"efc95bafaaa6d1e388b4d82b63edb62708683e6b8edb757fd605c7b4bed279f6"},"schema_version":"1.0","source":{"id":"0906.4046","kind":"arxiv","version":2}},"canonical_sha256":"6751a0de7d40243bc5452aed46d6fee27a234ace244bdf0e1a26f9101c290e52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6751a0de7d40243bc5452aed46d6fee27a234ace244bdf0e1a26f9101c290e52","first_computed_at":"2026-07-04T15:53:14.851814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:53:14.851814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s5n3Ycqv/Z/Hv5AptUywoc07dmUENMcu2qUMFdGLNz2HtBH5fvn7cjn+T1zOYTa1mc6qPib0PlT4PBB7/n83CQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:53:14.852193Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.4046","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa6b5b46ece5ca318b233bd127d400bad2c849b87efe249e1779c8cca4c6a14b","sha256:7c4e8dcf59e78c220630ac2f2a07391bbdfae728a5a72f09ed03659e3f568b7d"],"state_sha256":"6c814c723dc5da5feac4e8f5d3733fdec185970d474a03e819e6c8e27f658103"}