{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QJ4JOZSV75G6B5BPNCTYEMRDQK","short_pith_number":"pith:QJ4JOZSV","canonical_record":{"source":{"id":"1802.06034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-16T17:15:51Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"0304c69c08ec3d57dd9090b3d634c617843bab215e78013a971e2f121c73d362","abstract_canon_sha256":"ed10e82f801b433042b61fa8309c9d6dbfed68dde60b698ccc151af24720d12b"},"schema_version":"1.0"},"canonical_sha256":"8278976655ff4de0f42f68a782322382aa6b24dd90693d200bef844253343f21","source":{"kind":"arxiv","id":"1802.06034","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06034","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06034v1","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06034","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"QJ4JOZSV75G6","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QJ4JOZSV75G6B5BP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QJ4JOZSV","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QJ4JOZSV75G6B5BPNCTYEMRDQK","target":"record","payload":{"canonical_record":{"source":{"id":"1802.06034","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-16T17:15:51Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"0304c69c08ec3d57dd9090b3d634c617843bab215e78013a971e2f121c73d362","abstract_canon_sha256":"ed10e82f801b433042b61fa8309c9d6dbfed68dde60b698ccc151af24720d12b"},"schema_version":"1.0"},"canonical_sha256":"8278976655ff4de0f42f68a782322382aa6b24dd90693d200bef844253343f21","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:08.467498Z","signature_b64":"qLoviT8dPa77JkaZ+Bo/GzHWVs3MmHjTj0n3aiDGffzlSH/NlOtaLjY0cRMK3mT03uie68YSGq8gjz5lzf0lBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8278976655ff4de0f42f68a782322382aa6b24dd90693d200bef844253343f21","last_reissued_at":"2026-05-18T00:14:08.466697Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:08.466697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.06034","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":"2026-05-18T00:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nDhkBLXtGpcagQauB3oBcHs5bpMFkeDl6nH3tTGGB46k1e5oJ3VISh/2sfPXa9Sqg1ZQ3VBZQI7gOPPGMXgfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:36:54.432690Z"},"content_sha256":"4f0c03a026ff727a9b61fab75c62067327b24f012cf37caf9f169138bc7fccf1","schema_version":"1.0","event_id":"sha256:4f0c03a026ff727a9b61fab75c62067327b24f012cf37caf9f169138bc7fccf1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QJ4JOZSV75G6B5BPNCTYEMRDQK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast Summation of Divergent Series and Resurgent Transseries in Quantum Field Theories from Meijer-G Approximants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Branislav K. Nikolic, Hector Mera, Thomas G. Pedersen","submitted_at":"2018-02-16T17:15:51Z","abstract_excerpt":"We demonstrate that a Meijer-G-function-based resummation approach can be successfully applied to approximate the Borel sum of divergent series, and thus to approximate the Borel-\\'Ecalle summation of resurgent transseries in quantum field theory (QFT). The proposed method is shown to vastly outperform the conventional Borel-Pad\\'e and Borel-Pad\\'e-\\'Ecalle summation methods. The resulting Meijer-G approximants are easily parameterized by means of a hypergeometric ansatz and can be thought of as a generalization to arbitrary order of the Borel-Hypergeometric method [Mera {\\it et al.} Phys. Rev"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06034","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":"2026-05-18T00:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D+BkNW/mHY6Wqdg7BlCxP7SlHZe3HdovShPKIqNsA8YPeFZ2Qt2xqJLtSjiPtuWa61Qymiq+rdMamQ2Q2TMGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:36:54.433053Z"},"content_sha256":"5649dd32c5b83ff571897c111ae8008ed479386a51c118a376519825be8c5cf1","schema_version":"1.0","event_id":"sha256:5649dd32c5b83ff571897c111ae8008ed479386a51c118a376519825be8c5cf1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/bundle.json","state_url":"https://pith.science/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/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":"2026-05-31T23:36:54Z","links":{"resolver":"https://pith.science/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK","bundle":"https://pith.science/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/bundle.json","state":"https://pith.science/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QJ4JOZSV75G6B5BPNCTYEMRDQK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QJ4JOZSV75G6B5BPNCTYEMRDQK","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":"ed10e82f801b433042b61fa8309c9d6dbfed68dde60b698ccc151af24720d12b","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-16T17:15:51Z","title_canon_sha256":"0304c69c08ec3d57dd9090b3d634c617843bab215e78013a971e2f121c73d362"},"schema_version":"1.0","source":{"id":"1802.06034","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.06034","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"1802.06034v1","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06034","created_at":"2026-05-18T00:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"QJ4JOZSV75G6","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QJ4JOZSV75G6B5BP","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QJ4JOZSV","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:5649dd32c5b83ff571897c111ae8008ed479386a51c118a376519825be8c5cf1","target":"graph","created_at":"2026-05-18T00:14:08Z","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 demonstrate that a Meijer-G-function-based resummation approach can be successfully applied to approximate the Borel sum of divergent series, and thus to approximate the Borel-\\'Ecalle summation of resurgent transseries in quantum field theory (QFT). The proposed method is shown to vastly outperform the conventional Borel-Pad\\'e and Borel-Pad\\'e-\\'Ecalle summation methods. The resulting Meijer-G approximants are easily parameterized by means of a hypergeometric ansatz and can be thought of as a generalization to arbitrary order of the Borel-Hypergeometric method [Mera {\\it et al.} Phys. Rev","authors_text":"Branislav K. Nikolic, Hector Mera, Thomas G. Pedersen","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-16T17:15:51Z","title":"Fast Summation of Divergent Series and Resurgent Transseries in Quantum Field Theories from Meijer-G Approximants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06034","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":"sha256:4f0c03a026ff727a9b61fab75c62067327b24f012cf37caf9f169138bc7fccf1","target":"record","created_at":"2026-05-18T00:14:08Z","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":"ed10e82f801b433042b61fa8309c9d6dbfed68dde60b698ccc151af24720d12b","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-02-16T17:15:51Z","title_canon_sha256":"0304c69c08ec3d57dd9090b3d634c617843bab215e78013a971e2f121c73d362"},"schema_version":"1.0","source":{"id":"1802.06034","kind":"arxiv","version":1}},"canonical_sha256":"8278976655ff4de0f42f68a782322382aa6b24dd90693d200bef844253343f21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8278976655ff4de0f42f68a782322382aa6b24dd90693d200bef844253343f21","first_computed_at":"2026-05-18T00:14:08.466697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:08.466697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qLoviT8dPa77JkaZ+Bo/GzHWVs3MmHjTj0n3aiDGffzlSH/NlOtaLjY0cRMK3mT03uie68YSGq8gjz5lzf0lBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:08.467498Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.06034","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f0c03a026ff727a9b61fab75c62067327b24f012cf37caf9f169138bc7fccf1","sha256:5649dd32c5b83ff571897c111ae8008ed479386a51c118a376519825be8c5cf1"],"state_sha256":"574d6d354fedbd6a54e41026e8950e5d0f0160bbc9c5a0967857d06a0d9144e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ve5eKiQtyAE/4z4DGh0CjgYY2McoxPZlTC9ijUtVEMVdr5DPNvnwPh3XQruoPZv/ITZO/KL4Qpzsd9KOgbULCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:36:54.435344Z","bundle_sha256":"853e2a65915d49a3c0df6c9f8cd4ac4db6b55f1d9d5d2b1e969efd650084cf5b"}}