{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:KPM4DB3A44J4ZYBEBVZACN4I5N","short_pith_number":"pith:KPM4DB3A","canonical_record":{"source":{"id":"1001.0571","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-04T21:00:38Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"80880b6502e2c41440da64eddc64413d49819dd4a165194e5bfd50208c7bda70","abstract_canon_sha256":"416752d0378f8e106d11b7ac16684fa0c7657a84f09ab416e6ca2f3a5bcc8775"},"schema_version":"1.0"},"canonical_sha256":"53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48","source":{"kind":"arxiv","id":"1001.0571","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0571","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0571v2","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0571","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPM4DB3A44J4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KPM4DB3A44J4ZYBE","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KPM4DB3A","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:KPM4DB3A44J4ZYBEBVZACN4I5N","target":"record","payload":{"canonical_record":{"source":{"id":"1001.0571","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-04T21:00:38Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"80880b6502e2c41440da64eddc64413d49819dd4a165194e5bfd50208c7bda70","abstract_canon_sha256":"416752d0378f8e106d11b7ac16684fa0c7657a84f09ab416e6ca2f3a5bcc8775"},"schema_version":"1.0"},"canonical_sha256":"53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:45.243727Z","signature_b64":"gw7WMvHrSRsUyzXn21mNzQPgIsHo2lDEcM84uKDy7VsM3RfMA6nON4ZzUBXeG1zpE9BxxgWiHMOQA34SBY/0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48","last_reissued_at":"2026-05-18T02:24:45.243273Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:45.243273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1001.0571","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FytjogCIUZC402Kj5NFQ5v0no0F4gXWPHANPq4Tn/iAEehGHETCBuIeQGfZz7wV/h5Fszb8MBGK6Eezoj3NiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:08:51.816397Z"},"content_sha256":"011634b8797318029b0485e30eae0412c74ec8b69067f361c8ae9fbda2e4fe6b","schema_version":"1.0","event_id":"sha256:011634b8797318029b0485e30eae0412c74ec8b69067f361c8ae9fbda2e4fe6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:KPM4DB3A44J4ZYBEBVZACN4I5N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum field theory, gravity and cosmology in a fractal universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Gianluca Calcagni","submitted_at":"2010-01-04T21:00:38Z","abstract_excerpt":"We propose a model for a power-counting renormalizable field theory living in a fractal spacetime. The action is Lorentz covariant and equipped with a Stieltjes measure. The system flows, even in a classical sense, from an ultraviolet regime where spacetime has Hausdorff dimension 2 to an infrared limit coinciding with a standard $D$-dimensional field theory. We discuss the properties of a scalar field model at classical and quantum level. Classically, the field lives on a fractal which exchanges energy-momentum with the bulk of integer topological dimension D. Although an observer experiences"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0571","kind":"arxiv","version":2},"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":"2026-05-18T02:24:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A/wj8G3UWTW60D1wf4MDVLvpwS00GDi1KfbmfWFZZLjwGv1zDTy+15HxrHUqPJe0ANpcsykwArI9uvWH6P+3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:08:51.816872Z"},"content_sha256":"94ac59c45d7482fec4bf5ad80f925cae1c8550e8bbac7cf0f23e6ae9e0c1db81","schema_version":"1.0","event_id":"sha256:94ac59c45d7482fec4bf5ad80f925cae1c8550e8bbac7cf0f23e6ae9e0c1db81"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/bundle.json","state_url":"https://pith.science/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/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":"2026-05-25T15:08:51Z","links":{"resolver":"https://pith.science/pith/KPM4DB3A44J4ZYBEBVZACN4I5N","bundle":"https://pith.science/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/bundle.json","state":"https://pith.science/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KPM4DB3A44J4ZYBEBVZACN4I5N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KPM4DB3A44J4ZYBEBVZACN4I5N","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":"416752d0378f8e106d11b7ac16684fa0c7657a84f09ab416e6ca2f3a5bcc8775","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-04T21:00:38Z","title_canon_sha256":"80880b6502e2c41440da64eddc64413d49819dd4a165194e5bfd50208c7bda70"},"schema_version":"1.0","source":{"id":"1001.0571","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0571","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0571v2","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0571","created_at":"2026-05-18T02:24:45Z"},{"alias_kind":"pith_short_12","alias_value":"KPM4DB3A44J4","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KPM4DB3A44J4ZYBE","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KPM4DB3A","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:94ac59c45d7482fec4bf5ad80f925cae1c8550e8bbac7cf0f23e6ae9e0c1db81","target":"graph","created_at":"2026-05-18T02:24:45Z","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":"We propose a model for a power-counting renormalizable field theory living in a fractal spacetime. The action is Lorentz covariant and equipped with a Stieltjes measure. The system flows, even in a classical sense, from an ultraviolet regime where spacetime has Hausdorff dimension 2 to an infrared limit coinciding with a standard $D$-dimensional field theory. We discuss the properties of a scalar field model at classical and quantum level. Classically, the field lives on a fractal which exchanges energy-momentum with the bulk of integer topological dimension D. Although an observer experiences","authors_text":"Gianluca Calcagni","cross_cats":["astro-ph.CO","gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-04T21:00:38Z","title":"Quantum field theory, gravity and cosmology in a fractal universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0571","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":"sha256:011634b8797318029b0485e30eae0412c74ec8b69067f361c8ae9fbda2e4fe6b","target":"record","created_at":"2026-05-18T02:24:45Z","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":"416752d0378f8e106d11b7ac16684fa0c7657a84f09ab416e6ca2f3a5bcc8775","cross_cats_sorted":["astro-ph.CO","gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-01-04T21:00:38Z","title_canon_sha256":"80880b6502e2c41440da64eddc64413d49819dd4a165194e5bfd50208c7bda70"},"schema_version":"1.0","source":{"id":"1001.0571","kind":"arxiv","version":2}},"canonical_sha256":"53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53d9c18760e713cce0240d72013788eb74546ae7a2df66fd0d19129698175b48","first_computed_at":"2026-05-18T02:24:45.243273Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:45.243273Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gw7WMvHrSRsUyzXn21mNzQPgIsHo2lDEcM84uKDy7VsM3RfMA6nON4ZzUBXeG1zpE9BxxgWiHMOQA34SBY/0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:45.243727Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0571","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:011634b8797318029b0485e30eae0412c74ec8b69067f361c8ae9fbda2e4fe6b","sha256:94ac59c45d7482fec4bf5ad80f925cae1c8550e8bbac7cf0f23e6ae9e0c1db81"],"state_sha256":"6d345fd4b3209888999249960414cc96057ec933bcaec38262f05851745e26fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gLHsdG8skZDtgr8SUWUW30aMtMl8SFIgWKTdNKoqGmW0znUgEAY4v1Se9AYzLNbQNYhStho9kQ3ZrG1TFGugCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:08:51.820257Z","bundle_sha256":"99ece051e4f23b7a3e5549c2cf50337666a151e1829994df36b04bd012094c2e"}}