{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TYY46GJE64S4A2ASIIGIIQCSP7","short_pith_number":"pith:TYY46GJE","canonical_record":{"source":{"id":"1504.00467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-04-02T08:07:36Z","cross_cats_sorted":[],"title_canon_sha256":"286c9d5363033e4e778b2680b94b91844960b5ed254ab343563beb3de67b51b3","abstract_canon_sha256":"95fd344408929dbfa0484243bcbe6d933c533d8db77377a2edc79e3029bf1ed5"},"schema_version":"1.0"},"canonical_sha256":"9e31cf1924f725c06812420c8440527fe18fa1c58dee929faa180194f4411e88","source":{"kind":"arxiv","id":"1504.00467","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00467","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00467v2","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00467","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"pith_short_12","alias_value":"TYY46GJE64S4","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"TYY46GJE64S4A2AS","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"TYY46GJE","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TYY46GJE64S4A2ASIIGIIQCSP7","target":"record","payload":{"canonical_record":{"source":{"id":"1504.00467","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-04-02T08:07:36Z","cross_cats_sorted":[],"title_canon_sha256":"286c9d5363033e4e778b2680b94b91844960b5ed254ab343563beb3de67b51b3","abstract_canon_sha256":"95fd344408929dbfa0484243bcbe6d933c533d8db77377a2edc79e3029bf1ed5"},"schema_version":"1.0"},"canonical_sha256":"9e31cf1924f725c06812420c8440527fe18fa1c58dee929faa180194f4411e88","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:53.979906Z","signature_b64":"i4K6lSw7eJf8udU4TL9iS2hM2FeWxEJBrRaoUX0TxpRwk527InZeIhj3XPTPqIj2q21ahGr0sMR0NqvQZqhsCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e31cf1924f725c06812420c8440527fe18fa1c58dee929faa180194f4411e88","last_reissued_at":"2026-05-18T01:36:53.979350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:53.979350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.00467","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":"2026-05-18T01:36:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VYkB6HFSRqOMy8dofKFe9gMCx7W500fHiGKmXQgkdTp3vEBypHSvWFF4z/h6/+FXP4KFUarFXBPqvo6uIwd4DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:49:34.591578Z"},"content_sha256":"265fb2aa058194d141f1e48cdb02f7bcb14e8fb024d82187eff19f3d2db676f4","schema_version":"1.0","event_id":"sha256:265fb2aa058194d141f1e48cdb02f7bcb14e8fb024d82187eff19f3d2db676f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TYY46GJE64S4A2ASIIGIIQCSP7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Vainshtein conditions: The Vainshtein mechanism in terms of St\\\"uckelberg functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Ivan Arraut","submitted_at":"2015-04-02T08:07:36Z","abstract_excerpt":"Here I develop the simplest method in order to evaluate whether or not the Vainshtein mechanism can operate for a given set of parameters in a given solution. The method is based on the formulation of the mechanism in terms of the St\\\"uckelberg functions given in Int.J.Mod.Phys. D24 (2015) 1550022 and arXiv:1305.0475 [gr-qc]. In such a case, the Vainshtein scale appears as an extremal condition of the dynamical metric. If we fix the graviton mass, we can define the effective Vainshtein scale. Then for parameters where the Vainshtein scale vanishes or becomes smaller than the gravitational radi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00467","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":"2026-05-18T01:36:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gWcR881z522jS861xDihQPgGqOHISCHjvtHCycxE1heKbBqfqK8aBALnjsR0zavK4Wh7YxPY+lSR3QfotLF5BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T01:49:34.591925Z"},"content_sha256":"a03b9b455ddf1cc210207dabb329d8add94be00b1288353e86424a32e86e66c1","schema_version":"1.0","event_id":"sha256:a03b9b455ddf1cc210207dabb329d8add94be00b1288353e86424a32e86e66c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TYY46GJE64S4A2ASIIGIIQCSP7/bundle.json","state_url":"https://pith.science/pith/TYY46GJE64S4A2ASIIGIIQCSP7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TYY46GJE64S4A2ASIIGIIQCSP7/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":"2026-05-31T01:49:34Z","links":{"resolver":"https://pith.science/pith/TYY46GJE64S4A2ASIIGIIQCSP7","bundle":"https://pith.science/pith/TYY46GJE64S4A2ASIIGIIQCSP7/bundle.json","state":"https://pith.science/pith/TYY46GJE64S4A2ASIIGIIQCSP7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TYY46GJE64S4A2ASIIGIIQCSP7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TYY46GJE64S4A2ASIIGIIQCSP7","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":"95fd344408929dbfa0484243bcbe6d933c533d8db77377a2edc79e3029bf1ed5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-04-02T08:07:36Z","title_canon_sha256":"286c9d5363033e4e778b2680b94b91844960b5ed254ab343563beb3de67b51b3"},"schema_version":"1.0","source":{"id":"1504.00467","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.00467","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"arxiv_version","alias_value":"1504.00467v2","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.00467","created_at":"2026-05-18T01:36:53Z"},{"alias_kind":"pith_short_12","alias_value":"TYY46GJE64S4","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"TYY46GJE64S4A2AS","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"TYY46GJE","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:a03b9b455ddf1cc210207dabb329d8add94be00b1288353e86424a32e86e66c1","target":"graph","created_at":"2026-05-18T01:36:53Z","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":"Here I develop the simplest method in order to evaluate whether or not the Vainshtein mechanism can operate for a given set of parameters in a given solution. The method is based on the formulation of the mechanism in terms of the St\\\"uckelberg functions given in Int.J.Mod.Phys. D24 (2015) 1550022 and arXiv:1305.0475 [gr-qc]. In such a case, the Vainshtein scale appears as an extremal condition of the dynamical metric. If we fix the graviton mass, we can define the effective Vainshtein scale. Then for parameters where the Vainshtein scale vanishes or becomes smaller than the gravitational radi","authors_text":"Ivan Arraut","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-04-02T08:07:36Z","title":"The Vainshtein conditions: The Vainshtein mechanism in terms of St\\\"uckelberg functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.00467","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":"sha256:265fb2aa058194d141f1e48cdb02f7bcb14e8fb024d82187eff19f3d2db676f4","target":"record","created_at":"2026-05-18T01:36:53Z","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":"95fd344408929dbfa0484243bcbe6d933c533d8db77377a2edc79e3029bf1ed5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-04-02T08:07:36Z","title_canon_sha256":"286c9d5363033e4e778b2680b94b91844960b5ed254ab343563beb3de67b51b3"},"schema_version":"1.0","source":{"id":"1504.00467","kind":"arxiv","version":2}},"canonical_sha256":"9e31cf1924f725c06812420c8440527fe18fa1c58dee929faa180194f4411e88","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e31cf1924f725c06812420c8440527fe18fa1c58dee929faa180194f4411e88","first_computed_at":"2026-05-18T01:36:53.979350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:53.979350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i4K6lSw7eJf8udU4TL9iS2hM2FeWxEJBrRaoUX0TxpRwk527InZeIhj3XPTPqIj2q21ahGr0sMR0NqvQZqhsCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:53.979906Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.00467","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:265fb2aa058194d141f1e48cdb02f7bcb14e8fb024d82187eff19f3d2db676f4","sha256:a03b9b455ddf1cc210207dabb329d8add94be00b1288353e86424a32e86e66c1"],"state_sha256":"f0b5f261137d9d09423c191d08240645e267e0fdbbaca3f062040de08d43431a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6SpmF1JcA2kES+lOw/IHSJhexiVSWKia9F4vZqvcWaGhmeCcQSxB1nYD0I4twfZg6bVUswB62Mku8CD8S9ISDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T01:49:34.594154Z","bundle_sha256":"d035059cc6d9e8781823a39b81cfe5776b625280de991b1b4f672ea3e1941300"}}