{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FPK6QOMNZSRUDDT7GE7T45AEYX","short_pith_number":"pith:FPK6QOMN","canonical_record":{"source":{"id":"1209.4539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-20T14:12:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"98d301adbe5608da14c33a5d804185758aec921be2b354e360e756bdd5562332","abstract_canon_sha256":"f918e995958430db6bfe9a5a0a27b3b4cca6b528d9a9eea020537e44e20a8fc7"},"schema_version":"1.0"},"canonical_sha256":"2bd5e8398dcca3418e7f313f3e7404c5e48ac2b0adb03772af74ed1a2469ee39","source":{"kind":"arxiv","id":"1209.4539","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4539","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4539v1","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4539","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"FPK6QOMNZSRU","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FPK6QOMNZSRUDDT7","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FPK6QOMN","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FPK6QOMNZSRUDDT7GE7T45AEYX","target":"record","payload":{"canonical_record":{"source":{"id":"1209.4539","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-20T14:12:10Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"98d301adbe5608da14c33a5d804185758aec921be2b354e360e756bdd5562332","abstract_canon_sha256":"f918e995958430db6bfe9a5a0a27b3b4cca6b528d9a9eea020537e44e20a8fc7"},"schema_version":"1.0"},"canonical_sha256":"2bd5e8398dcca3418e7f313f3e7404c5e48ac2b0adb03772af74ed1a2469ee39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:54:20.668709Z","signature_b64":"CWPTXZK2WaNmniOdH0hqijG2s3HUPaPPMUkIf2tLMaXMkcyaZK+t3PrKXAZVNQXvnoI+K6dnVmmvfWqhYNgNAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bd5e8398dcca3418e7f313f3e7404c5e48ac2b0adb03772af74ed1a2469ee39","last_reissued_at":"2026-05-18T01:54:20.668145Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:54:20.668145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.4539","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":"2026-05-18T01:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eD9A/b4DG8UL6pUiMGYb+H01dkQM5lH4j5nUKGoMEKp04GtnNgldryLNb3U1+IcO31EKccTd6XRxfxfLV3MRCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:46:03.924854Z"},"content_sha256":"86dbd26f27a84a48ae324704b88f956aa73f4c6834a82e9b1df6adadff0cc660","schema_version":"1.0","event_id":"sha256:86dbd26f27a84a48ae324704b88f956aa73f4c6834a82e9b1df6adadff0cc660"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FPK6QOMNZSRUDDT7GE7T45AEYX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"gr-qc","authors_text":"Bianca Dittrich, Frank Hellmann, Wojciech Kaminski","submitted_at":"2012-09-20T14:12:10Z","abstract_excerpt":"In this and the companion paper a novel holonomy formulation of so called Spin Foam models of lattice gauge gravity are explored. After giving a natural basis for the space of simplicity constraints we define a universal boundary Hilbert space, on which the imposition of different forms of the simplicity constraints can be studied. We detail under which conditions this Hilbert space can be mapped to a Hilbert space of projected spin networks or an ordinary spin network space.\n  These considerations allow to derive the general form of the transfer operators which generates discrete time evoluti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4539","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":"2026-05-18T01:54:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lC/g9EUn0TkwuSu0kFRVGAXh3PpZ0/hGTDQw+PZRepjML4qszRRSakju3V3wzwG4N+CJR+XUIRn3tbkiO8DXDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:46:03.925509Z"},"content_sha256":"8320088bec5b14db24247867ac3470c3093974c0a85b8ce95ba69337ed560c2d","schema_version":"1.0","event_id":"sha256:8320088bec5b14db24247867ac3470c3093974c0a85b8ce95ba69337ed560c2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/bundle.json","state_url":"https://pith.science/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/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":"2026-05-28T20:46:03Z","links":{"resolver":"https://pith.science/pith/FPK6QOMNZSRUDDT7GE7T45AEYX","bundle":"https://pith.science/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/bundle.json","state":"https://pith.science/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPK6QOMNZSRUDDT7GE7T45AEYX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FPK6QOMNZSRUDDT7GE7T45AEYX","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":"f918e995958430db6bfe9a5a0a27b3b4cca6b528d9a9eea020537e44e20a8fc7","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-20T14:12:10Z","title_canon_sha256":"98d301adbe5608da14c33a5d804185758aec921be2b354e360e756bdd5562332"},"schema_version":"1.0","source":{"id":"1209.4539","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4539","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4539v1","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4539","created_at":"2026-05-18T01:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"FPK6QOMNZSRU","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FPK6QOMNZSRUDDT7","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FPK6QOMN","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:8320088bec5b14db24247867ac3470c3093974c0a85b8ce95ba69337ed560c2d","target":"graph","created_at":"2026-05-18T01:54:20Z","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":"In this and the companion paper a novel holonomy formulation of so called Spin Foam models of lattice gauge gravity are explored. After giving a natural basis for the space of simplicity constraints we define a universal boundary Hilbert space, on which the imposition of different forms of the simplicity constraints can be studied. We detail under which conditions this Hilbert space can be mapped to a Hilbert space of projected spin networks or an ordinary spin network space.\n  These considerations allow to derive the general form of the transfer operators which generates discrete time evoluti","authors_text":"Bianca Dittrich, Frank Hellmann, Wojciech Kaminski","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-20T14:12:10Z","title":"Holonomy Spin Foam Models: Boundary Hilbert spaces and Time Evolution Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4539","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":"sha256:86dbd26f27a84a48ae324704b88f956aa73f4c6834a82e9b1df6adadff0cc660","target":"record","created_at":"2026-05-18T01:54:20Z","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":"f918e995958430db6bfe9a5a0a27b3b4cca6b528d9a9eea020537e44e20a8fc7","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-09-20T14:12:10Z","title_canon_sha256":"98d301adbe5608da14c33a5d804185758aec921be2b354e360e756bdd5562332"},"schema_version":"1.0","source":{"id":"1209.4539","kind":"arxiv","version":1}},"canonical_sha256":"2bd5e8398dcca3418e7f313f3e7404c5e48ac2b0adb03772af74ed1a2469ee39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bd5e8398dcca3418e7f313f3e7404c5e48ac2b0adb03772af74ed1a2469ee39","first_computed_at":"2026-05-18T01:54:20.668145Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:54:20.668145Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CWPTXZK2WaNmniOdH0hqijG2s3HUPaPPMUkIf2tLMaXMkcyaZK+t3PrKXAZVNQXvnoI+K6dnVmmvfWqhYNgNAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:54:20.668709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.4539","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86dbd26f27a84a48ae324704b88f956aa73f4c6834a82e9b1df6adadff0cc660","sha256:8320088bec5b14db24247867ac3470c3093974c0a85b8ce95ba69337ed560c2d"],"state_sha256":"2bb570f609a921ea164bc80a20503d331053079c4a7106eef09b096375882c96"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/AAdqhSCC2PkoiGrzHLTAPIp1SUX53nVCxDiT4VSWKcNBGdLFNDDyPihEO9k7VSgHihr+xUitRKG5LDlrci1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:46:03.929197Z","bundle_sha256":"ca6d9df2ac81ea7631e2e578e7b6a2d3f3c45dfe4f02bc7d83d9552f2779e67f"}}