{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:X6PA4F6ALXARQCLTXH4BLUHS3H","short_pith_number":"pith:X6PA4F6A","canonical_record":{"source":{"id":"1001.3505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-20T08:23:24Z","cross_cats_sorted":[],"title_canon_sha256":"ce47d54b2ddd22cdf966506d11aed52e9917504d0a767e342de8a42ea69457e9","abstract_canon_sha256":"922423efd43c73e9c66c0c8344b6fb041fd7d62a450aada14290a52a392c520c"},"schema_version":"1.0"},"canonical_sha256":"bf9e0e17c05dc1180973b9f815d0f2d9c0ba63dc5bc69e465e7301e156dced0f","source":{"kind":"arxiv","id":"1001.3505","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3505","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3505v1","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3505","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"X6PA4F6ALXAR","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"X6PA4F6ALXARQCLT","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"X6PA4F6A","created_at":"2026-05-18T12:26:17Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:X6PA4F6ALXARQCLTXH4BLUHS3H","target":"record","payload":{"canonical_record":{"source":{"id":"1001.3505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-20T08:23:24Z","cross_cats_sorted":[],"title_canon_sha256":"ce47d54b2ddd22cdf966506d11aed52e9917504d0a767e342de8a42ea69457e9","abstract_canon_sha256":"922423efd43c73e9c66c0c8344b6fb041fd7d62a450aada14290a52a392c520c"},"schema_version":"1.0"},"canonical_sha256":"bf9e0e17c05dc1180973b9f815d0f2d9c0ba63dc5bc69e465e7301e156dced0f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:29.689090Z","signature_b64":"B8xS84J2ix8eElyMzeUx/PVF65Ns/AZDOcOYiCeMa1WKdBlUj+5AwwSf/CU0t8klt3BcaOy+CeKtk/drM8JwDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf9e0e17c05dc1180973b9f815d0f2d9c0ba63dc5bc69e465e7301e156dced0f","last_reissued_at":"2026-05-18T02:28:29.688653Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:29.688653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.3505","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":"2026-05-18T02:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7nRY5JYJWsGxxntrOU+4VmkOJpv0nIgZWm1KWBGm31CqKDe5+6KOqyAGx34XOzRvVlDMiyemJQpY5mPZ0GbgBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:14:11.649287Z"},"content_sha256":"d0f8854789596ed8945ae2f38936490be79f0967423f971119e3759e378ccf6d","schema_version":"1.0","event_id":"sha256:d0f8854789596ed8945ae2f38936490be79f0967423f971119e3759e378ccf6d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:X6PA4F6ALXARQCLTXH4BLUHS3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Polymer quantization of the free scalar field and its classical limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Alok Laddha, Madhavan Varadarajan","submitted_at":"2010-01-20T08:23:24Z","abstract_excerpt":"Building on prior work, a generally covariant reformulation of free scalar field theory on the flat Lorentzian cylinder is quantized using Loop Quantum Gravity (LQG) type `polymer' representations. This quantization of the {\\em continuum} classical theory yields a quantum theory which lives on a discrete spacetime lattice. We explicitly construct a state in the polymer Hilbert space which reproduces the standard Fock vacuum- two point functions for long wavelength modes of the scalar field. Our construction indicates that the continuum classical theory emerges under coarse graining. All our co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3505","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":"2026-05-18T02:28:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kAs445mYmWfepaY0/ZmkFd7lHjnQ8hU7RLbEbEh6X/CHN8TUaDrpT04Gr1RjETgj2wOqrLr5eaPjdWBGplNPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:14:11.649943Z"},"content_sha256":"84266c52c6924468cd501a7e4bfe3f3efbdc9fd1f33224b86383ac74df484b57","schema_version":"1.0","event_id":"sha256:84266c52c6924468cd501a7e4bfe3f3efbdc9fd1f33224b86383ac74df484b57"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/bundle.json","state_url":"https://pith.science/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/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":"2026-05-26T11:14:11Z","links":{"resolver":"https://pith.science/pith/X6PA4F6ALXARQCLTXH4BLUHS3H","bundle":"https://pith.science/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/bundle.json","state":"https://pith.science/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X6PA4F6ALXARQCLTXH4BLUHS3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:X6PA4F6ALXARQCLTXH4BLUHS3H","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":"922423efd43c73e9c66c0c8344b6fb041fd7d62a450aada14290a52a392c520c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-20T08:23:24Z","title_canon_sha256":"ce47d54b2ddd22cdf966506d11aed52e9917504d0a767e342de8a42ea69457e9"},"schema_version":"1.0","source":{"id":"1001.3505","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3505","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3505v1","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3505","created_at":"2026-05-18T02:28:29Z"},{"alias_kind":"pith_short_12","alias_value":"X6PA4F6ALXAR","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"X6PA4F6ALXARQCLT","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"X6PA4F6A","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:84266c52c6924468cd501a7e4bfe3f3efbdc9fd1f33224b86383ac74df484b57","target":"graph","created_at":"2026-05-18T02:28:29Z","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":"Building on prior work, a generally covariant reformulation of free scalar field theory on the flat Lorentzian cylinder is quantized using Loop Quantum Gravity (LQG) type `polymer' representations. This quantization of the {\\em continuum} classical theory yields a quantum theory which lives on a discrete spacetime lattice. We explicitly construct a state in the polymer Hilbert space which reproduces the standard Fock vacuum- two point functions for long wavelength modes of the scalar field. Our construction indicates that the continuum classical theory emerges under coarse graining. All our co","authors_text":"Alok Laddha, Madhavan Varadarajan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-20T08:23:24Z","title":"Polymer quantization of the free scalar field and its classical limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3505","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:d0f8854789596ed8945ae2f38936490be79f0967423f971119e3759e378ccf6d","target":"record","created_at":"2026-05-18T02:28:29Z","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":"922423efd43c73e9c66c0c8344b6fb041fd7d62a450aada14290a52a392c520c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-01-20T08:23:24Z","title_canon_sha256":"ce47d54b2ddd22cdf966506d11aed52e9917504d0a767e342de8a42ea69457e9"},"schema_version":"1.0","source":{"id":"1001.3505","kind":"arxiv","version":1}},"canonical_sha256":"bf9e0e17c05dc1180973b9f815d0f2d9c0ba63dc5bc69e465e7301e156dced0f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf9e0e17c05dc1180973b9f815d0f2d9c0ba63dc5bc69e465e7301e156dced0f","first_computed_at":"2026-05-18T02:28:29.688653Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:29.688653Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"B8xS84J2ix8eElyMzeUx/PVF65Ns/AZDOcOYiCeMa1WKdBlUj+5AwwSf/CU0t8klt3BcaOy+CeKtk/drM8JwDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:29.689090Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3505","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0f8854789596ed8945ae2f38936490be79f0967423f971119e3759e378ccf6d","sha256:84266c52c6924468cd501a7e4bfe3f3efbdc9fd1f33224b86383ac74df484b57"],"state_sha256":"cb2e4622270d3626658b6c29ff196a667a5f1025a4876e2bad7e5e53d3f3e988"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tsjzQHwfORLM7wIcgaXRXOKKdy2YqtJiMJm1nq9icYGkR31RQ4shrEdLWzogjoQboka1cU/3XJMvhzgubzqgBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:14:11.653349Z","bundle_sha256":"8b1535a81a983e803dad007ec838fdc032ddf138717f730982bf11442caf68f1"}}