{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:BCFNZ7BNFD2IXWKZXMXD4PASX5","short_pith_number":"pith:BCFNZ7BN","canonical_record":{"source":{"id":"1408.2959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-13T09:53:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2c205d964d44045382696249392aef85d8507281b8242da61562c019f48a1192","abstract_canon_sha256":"b8a782e19591701e37f2de62ce02a64a3b9ab98fdcabf449b77a2acbbd7bfd53"},"schema_version":"1.0"},"canonical_sha256":"088adcfc2d28f48bd959bb2e3e3c12bf5c8cf52380de851cb11eeb484b3a8c38","source":{"kind":"arxiv","id":"1408.2959","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2959","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2959v1","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2959","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"BCFNZ7BNFD2I","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BCFNZ7BNFD2IXWKZ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BCFNZ7BN","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:BCFNZ7BNFD2IXWKZXMXD4PASX5","target":"record","payload":{"canonical_record":{"source":{"id":"1408.2959","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-13T09:53:03Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"2c205d964d44045382696249392aef85d8507281b8242da61562c019f48a1192","abstract_canon_sha256":"b8a782e19591701e37f2de62ce02a64a3b9ab98fdcabf449b77a2acbbd7bfd53"},"schema_version":"1.0"},"canonical_sha256":"088adcfc2d28f48bd959bb2e3e3c12bf5c8cf52380de851cb11eeb484b3a8c38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:53.491277Z","signature_b64":"Z7KB0rLSzXa9ABRYM+/mWby1hq+FKfy4wvrEUGzpKiIVAqi62FcpNhpfC6bXN6wWN+2urj5yPATMX4wcassKBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"088adcfc2d28f48bd959bb2e3e3c12bf5c8cf52380de851cb11eeb484b3a8c38","last_reissued_at":"2026-05-18T02:32:53.490700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:53.490700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.2959","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":"2026-05-18T02:32:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hIj1VzF52bgkiVJgq7nng1cDKjGTu8wRhdzqlpovXvQJnoVuKYQ13vRj3zPUjNPawszDk8I2YBAilKswExj+Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:17:38.350714Z"},"content_sha256":"cc70ac32361aeff6a7041bbbe7b408cacb677e64893cf9b8643fd5d6d0efd2a0","schema_version":"1.0","event_id":"sha256:cc70ac32361aeff6a7041bbbe7b408cacb677e64893cf9b8643fd5d6d0efd2a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:BCFNZ7BNFD2IXWKZXMXD4PASX5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Localization and diffusion in polymer quantum field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Marco Letizia, Michele Arzano","submitted_at":"2014-08-13T09:53:03Z","abstract_excerpt":"Polymer quantization is a non-standard approach to quantizing a classical system inspired by background independent approaches to quantum gravity such as loop quantum gravity. When applied to field theory it introduces a characteristic polymer scale at the level of the fields classical configuration space. Compared with models with space-time discreteness or non-commutativity this is an alternative way in which a characteristic scale can be introduced in a field theoretic context. Motivated by this comparison we study here localization and diffusion properties associated with polymer field obs"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2959","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":""},"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":"2026-05-18T02:32:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7tYYklXloYU0Q7kLYXU7Hb35pirgZhIHW8vO3DJO+zFAtFvPR7kN5ZxRbQA0OXQL5oss4CIFbpyACVDPZW4/Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:17:38.351110Z"},"content_sha256":"4530ef8235ed530eea256178ef3da1f67b348977a5710104ffdf9e50b539d36a","schema_version":"1.0","event_id":"sha256:4530ef8235ed530eea256178ef3da1f67b348977a5710104ffdf9e50b539d36a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/bundle.json","state_url":"https://pith.science/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/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":"2026-06-07T17:17:38Z","links":{"resolver":"https://pith.science/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5","bundle":"https://pith.science/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/bundle.json","state":"https://pith.science/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BCFNZ7BNFD2IXWKZXMXD4PASX5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:BCFNZ7BNFD2IXWKZXMXD4PASX5","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":"b8a782e19591701e37f2de62ce02a64a3b9ab98fdcabf449b77a2acbbd7bfd53","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-13T09:53:03Z","title_canon_sha256":"2c205d964d44045382696249392aef85d8507281b8242da61562c019f48a1192"},"schema_version":"1.0","source":{"id":"1408.2959","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.2959","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"arxiv_version","alias_value":"1408.2959v1","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2959","created_at":"2026-05-18T02:32:53Z"},{"alias_kind":"pith_short_12","alias_value":"BCFNZ7BNFD2I","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"BCFNZ7BNFD2IXWKZ","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"BCFNZ7BN","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:4530ef8235ed530eea256178ef3da1f67b348977a5710104ffdf9e50b539d36a","target":"graph","created_at":"2026-05-18T02:32:53Z","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":"Polymer quantization is a non-standard approach to quantizing a classical system inspired by background independent approaches to quantum gravity such as loop quantum gravity. When applied to field theory it introduces a characteristic polymer scale at the level of the fields classical configuration space. Compared with models with space-time discreteness or non-commutativity this is an alternative way in which a characteristic scale can be introduced in a field theoretic context. Motivated by this comparison we study here localization and diffusion properties associated with polymer field obs","authors_text":"Marco Letizia, Michele Arzano","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-13T09:53:03Z","title":"Localization and diffusion in polymer quantum field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2959","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:cc70ac32361aeff6a7041bbbe7b408cacb677e64893cf9b8643fd5d6d0efd2a0","target":"record","created_at":"2026-05-18T02:32:53Z","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":"b8a782e19591701e37f2de62ce02a64a3b9ab98fdcabf449b77a2acbbd7bfd53","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-08-13T09:53:03Z","title_canon_sha256":"2c205d964d44045382696249392aef85d8507281b8242da61562c019f48a1192"},"schema_version":"1.0","source":{"id":"1408.2959","kind":"arxiv","version":1}},"canonical_sha256":"088adcfc2d28f48bd959bb2e3e3c12bf5c8cf52380de851cb11eeb484b3a8c38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"088adcfc2d28f48bd959bb2e3e3c12bf5c8cf52380de851cb11eeb484b3a8c38","first_computed_at":"2026-05-18T02:32:53.490700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:53.490700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z7KB0rLSzXa9ABRYM+/mWby1hq+FKfy4wvrEUGzpKiIVAqi62FcpNhpfC6bXN6wWN+2urj5yPATMX4wcassKBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:53.491277Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.2959","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc70ac32361aeff6a7041bbbe7b408cacb677e64893cf9b8643fd5d6d0efd2a0","sha256:4530ef8235ed530eea256178ef3da1f67b348977a5710104ffdf9e50b539d36a"],"state_sha256":"56c9e270f48430f976495e3015603dc43ecc8f1edc1d12d7af328720a540258f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7mOwIzMIEJ24/14bB99LkD0GDRWujFaeYL+Y8rSd5cUrrbTeRjvYU/yQn0EroG38hOF7/Zj+VVjSSKyPF9iQAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:17:38.353966Z","bundle_sha256":"1d378d6a1f8192d27aadbb03340f6a1da49fd07840fa9293eecb300ccf46de97"}}