{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:A2KLBCWLW6MPGIA2Z7OHXVVRZH","short_pith_number":"pith:A2KLBCWL","canonical_record":{"source":{"id":"2608.07875","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-08T03:00:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"faaeadec80022d861429614439b56eb5f7da2b8aa7b724f4fde81f4ed36d7ee4","abstract_canon_sha256":"179720e1b505af4d47fb55d95d9ec6d1bfe4ec7fd662b3e587f38e393638e1b2"},"schema_version":"1.0"},"canonical_sha256":"0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47","source":{"kind":"arxiv","id":"2608.07875","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07875","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07875v1","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07875","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_12","alias_value":"A2KLBCWLW6MP","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_16","alias_value":"A2KLBCWLW6MPGIA2","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_8","alias_value":"A2KLBCWL","created_at":"2026-08-11T01:18:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:A2KLBCWLW6MPGIA2Z7OHXVVRZH","target":"record","payload":{"canonical_record":{"source":{"id":"2608.07875","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-08T03:00:21Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"faaeadec80022d861429614439b56eb5f7da2b8aa7b724f4fde81f4ed36d7ee4","abstract_canon_sha256":"179720e1b505af4d47fb55d95d9ec6d1bfe4ec7fd662b3e587f38e393638e1b2"},"schema_version":"1.0"},"canonical_sha256":"0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-11T01:18:48.275709Z","signature_b64":"7r9qDOnISTvJJ9oOYF3e/8FIr4ex6wykMf8icZAH8jBD5rDTedN+FerESt1wlwHR29E9gzASjTkf+d/n07e4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47","last_reissued_at":"2026-08-11T01:18:48.273094Z","signature_status":"signed_v1","first_computed_at":"2026-08-11T01:18:48.273094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2608.07875","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":"2026-08-11T01:18:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"smYa5jzlMMcwXN113ee9idH5pAmYnUfiv6NO25hzp88qSCVZ9qurJtGZHNyvMDfdLHI9O9M4VSeBGf8wIyp5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:49:35.827456Z"},"content_sha256":"8dc6943a6b700de8258242f8d17b39d935a5717ea87a7ffb952a693a8e1eda78","schema_version":"1.0","event_id":"sha256:8dc6943a6b700de8258242f8d17b39d935a5717ea87a7ffb952a693a8e1eda78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:A2KLBCWLW6MPGIA2Z7OHXVVRZH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scale dependence of the effective gravitational constant from functional renormalization group","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Bing Sun, Ruiqi Liang, Zhoujian Cao","submitted_at":"2026-08-08T03:00:21Z","abstract_excerpt":"The general relativity may not be the final theory of gravity. One possible way to look for the gravity theory beyond general relativity is considering variable gravitational constant. Based on the quantum field theory, the gravitational constant as the coupling constant of gravity interaction may change along with the energy scale. Such scale dependent behavior of the gravitational constant can be well described by the functional renormalization group. In the current work, we investigate such behavior systematically. Firstly we find that such behavior is qualitatively independent of interacti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07875","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.07875/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-08-11T01:18:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EU539c9wcStwpmK+MIr5LtQzLuSgMClw5nfq6loG53ZKSO4TTybsoz+Y079YTeCpONwMl2zEZgPAj6Al74UXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T12:49:35.828458Z"},"content_sha256":"40c2124b13fafd4a492f3e64eb1720551600da8e033d37bced331201010f9094","schema_version":"1.0","event_id":"sha256:40c2124b13fafd4a492f3e64eb1720551600da8e033d37bced331201010f9094"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/bundle.json","state_url":"https://pith.science/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/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":"2026-08-12T12:49:35Z","links":{"resolver":"https://pith.science/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH","bundle":"https://pith.science/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/bundle.json","state":"https://pith.science/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A2KLBCWLW6MPGIA2Z7OHXVVRZH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:A2KLBCWLW6MPGIA2Z7OHXVVRZH","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":"179720e1b505af4d47fb55d95d9ec6d1bfe4ec7fd662b3e587f38e393638e1b2","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-08T03:00:21Z","title_canon_sha256":"faaeadec80022d861429614439b56eb5f7da2b8aa7b724f4fde81f4ed36d7ee4"},"schema_version":"1.0","source":{"id":"2608.07875","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.07875","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"arxiv_version","alias_value":"2608.07875v1","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.07875","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_12","alias_value":"A2KLBCWLW6MP","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_16","alias_value":"A2KLBCWLW6MPGIA2","created_at":"2026-08-11T01:18:48Z"},{"alias_kind":"pith_short_8","alias_value":"A2KLBCWL","created_at":"2026-08-11T01:18:48Z"}],"graph_snapshots":[{"event_id":"sha256:40c2124b13fafd4a492f3e64eb1720551600da8e033d37bced331201010f9094","target":"graph","created_at":"2026-08-11T01:18:48Z","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/2608.07875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The general relativity may not be the final theory of gravity. One possible way to look for the gravity theory beyond general relativity is considering variable gravitational constant. Based on the quantum field theory, the gravitational constant as the coupling constant of gravity interaction may change along with the energy scale. Such scale dependent behavior of the gravitational constant can be well described by the functional renormalization group. In the current work, we investigate such behavior systematically. Firstly we find that such behavior is qualitatively independent of interacti","authors_text":"Bing Sun, Ruiqi Liang, Zhoujian Cao","cross_cats":["hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-08T03:00:21Z","title":"Scale dependence of the effective gravitational constant from functional renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.07875","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":"sha256:8dc6943a6b700de8258242f8d17b39d935a5717ea87a7ffb952a693a8e1eda78","target":"record","created_at":"2026-08-11T01:18:48Z","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":"179720e1b505af4d47fb55d95d9ec6d1bfe4ec7fd662b3e587f38e393638e1b2","cross_cats_sorted":["hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-08-08T03:00:21Z","title_canon_sha256":"faaeadec80022d861429614439b56eb5f7da2b8aa7b724f4fde81f4ed36d7ee4"},"schema_version":"1.0","source":{"id":"2608.07875","kind":"arxiv","version":1}},"canonical_sha256":"0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0694b08acbb798f3201acfdc7bd6b1c9da83e8d19cf87f66fb54c5fd852b2e47","first_computed_at":"2026-08-11T01:18:48.273094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:18:48.273094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7r9qDOnISTvJJ9oOYF3e/8FIr4ex6wykMf8icZAH8jBD5rDTedN+FerESt1wlwHR29E9gzASjTkf+d/n07e4BQ==","signature_status":"signed_v1","signed_at":"2026-08-11T01:18:48.275709Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.07875","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dc6943a6b700de8258242f8d17b39d935a5717ea87a7ffb952a693a8e1eda78","sha256:40c2124b13fafd4a492f3e64eb1720551600da8e033d37bced331201010f9094"],"state_sha256":"c0b4647e0e3cae37e44d415148cab6fd522acd2cbee8942057f625929e6e2f98"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O+yHDnPA4dY3uEO8581PzcFN/1GB2/AvUspQAZ0FBndnR1USUuLtfoYW5KlVNhma3wCIdpao4/6W08IK69HCBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T12:49:35.835527Z","bundle_sha256":"40911551d793054d8b5c4a2427985e815e3586873e65607634331c8c7d3422cc"}}