{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NGHCRITFKY3MXBL3IU5NFCBSG4","short_pith_number":"pith:NGHCRITF","canonical_record":{"source":{"id":"1808.08333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-24T23:28:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8809eceb617217e9b60c497165e7f5896d5cf09f2edaea1b5ca552a375a84d1d","abstract_canon_sha256":"59ef80028eb8a1c100c5fcdf5214d37e5b9501e2066b8fe032ae2a6b2e31f237"},"schema_version":"1.0"},"canonical_sha256":"698e28a2655636cb857b453ad28832372eed56fcce6b58a4557bae07eecc5b4b","source":{"kind":"arxiv","id":"1808.08333","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08333","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08333v2","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08333","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"pith_short_12","alias_value":"NGHCRITFKY3M","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NGHCRITFKY3MXBL3","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NGHCRITF","created_at":"2026-05-18T12:32:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NGHCRITFKY3MXBL3IU5NFCBSG4","target":"record","payload":{"canonical_record":{"source":{"id":"1808.08333","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-24T23:28:06Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8809eceb617217e9b60c497165e7f5896d5cf09f2edaea1b5ca552a375a84d1d","abstract_canon_sha256":"59ef80028eb8a1c100c5fcdf5214d37e5b9501e2066b8fe032ae2a6b2e31f237"},"schema_version":"1.0"},"canonical_sha256":"698e28a2655636cb857b453ad28832372eed56fcce6b58a4557bae07eecc5b4b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:57:21.420213Z","signature_b64":"j/WuRLDPzKUPJPSu2ewLh96FfSw7vPv8bua0bcMM+QvChkaP+fkVRmkwfXHXNz9TIfrLi39NeuQYqjHeD+3GBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"698e28a2655636cb857b453ad28832372eed56fcce6b58a4557bae07eecc5b4b","last_reissued_at":"2026-05-17T23:57:21.419636Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:57:21.419636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1808.08333","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":"2026-05-17T23:57:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BV92R4eXSHZ4+7oZexII6TF5SiPwi8K5XuPrN9RKfVbQo5yLnz+r5pKOgBt3CG77IwZfMiU9D+xmmk2Y98tKCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:54:17.659426Z"},"content_sha256":"6c6a5929234b6f57d40181d38d3ad7cebb2aa4d2f26e76aac78d1e3da2d48c94","schema_version":"1.0","event_id":"sha256:6c6a5929234b6f57d40181d38d3ad7cebb2aa4d2f26e76aac78d1e3da2d48c94"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NGHCRITFKY3MXBL3IU5NFCBSG4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$p$-adic Mellin Amplitudes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Christian Baadsgaard Jepsen, Sarthak Parikh","submitted_at":"2018-08-24T23:28:06Z","abstract_excerpt":"In this paper, we propose a $p$-adic analog of Mellin amplitudes for scalar operators, and present the computation of the general contact amplitude as well as arbitrary-point tree-level amplitudes for bulk diagrams involving up to three internal lines, and along the way obtain the $p$-adic version of the split representation formula. These amplitudes share noteworthy similarities with the usual (real) Mellin amplitudes for scalars, but are also significantly simpler, admitting closed-form expressions where none are available over the reals. The dramatic simplicity can be attributed to the abse"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08333","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":"2026-05-17T23:57:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"POOnHvZ3m2PkjgM3R82Vhbw+Srh0SUCHasgb55UrP7NX6Zj31ZkUxzuGrN1/hlrsbpdfqXMTz4JyCfeM8U2+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T17:54:17.659837Z"},"content_sha256":"a3b3cacc7ec4ca4ac0e986722e0efe63f7baa5cd2522bc7c1411f1b762510cdf","schema_version":"1.0","event_id":"sha256:a3b3cacc7ec4ca4ac0e986722e0efe63f7baa5cd2522bc7c1411f1b762510cdf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/bundle.json","state_url":"https://pith.science/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/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":"2026-05-26T17:54:17Z","links":{"resolver":"https://pith.science/pith/NGHCRITFKY3MXBL3IU5NFCBSG4","bundle":"https://pith.science/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/bundle.json","state":"https://pith.science/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NGHCRITFKY3MXBL3IU5NFCBSG4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NGHCRITFKY3MXBL3IU5NFCBSG4","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":"59ef80028eb8a1c100c5fcdf5214d37e5b9501e2066b8fe032ae2a6b2e31f237","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-24T23:28:06Z","title_canon_sha256":"8809eceb617217e9b60c497165e7f5896d5cf09f2edaea1b5ca552a375a84d1d"},"schema_version":"1.0","source":{"id":"1808.08333","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.08333","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"arxiv_version","alias_value":"1808.08333v2","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.08333","created_at":"2026-05-17T23:57:21Z"},{"alias_kind":"pith_short_12","alias_value":"NGHCRITFKY3M","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NGHCRITFKY3MXBL3","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NGHCRITF","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:a3b3cacc7ec4ca4ac0e986722e0efe63f7baa5cd2522bc7c1411f1b762510cdf","target":"graph","created_at":"2026-05-17T23:57:21Z","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 paper, we propose a $p$-adic analog of Mellin amplitudes for scalar operators, and present the computation of the general contact amplitude as well as arbitrary-point tree-level amplitudes for bulk diagrams involving up to three internal lines, and along the way obtain the $p$-adic version of the split representation formula. These amplitudes share noteworthy similarities with the usual (real) Mellin amplitudes for scalars, but are also significantly simpler, admitting closed-form expressions where none are available over the reals. The dramatic simplicity can be attributed to the abse","authors_text":"Christian Baadsgaard Jepsen, Sarthak Parikh","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-24T23:28:06Z","title":"$p$-adic Mellin Amplitudes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.08333","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":"sha256:6c6a5929234b6f57d40181d38d3ad7cebb2aa4d2f26e76aac78d1e3da2d48c94","target":"record","created_at":"2026-05-17T23:57:21Z","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":"59ef80028eb8a1c100c5fcdf5214d37e5b9501e2066b8fe032ae2a6b2e31f237","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-08-24T23:28:06Z","title_canon_sha256":"8809eceb617217e9b60c497165e7f5896d5cf09f2edaea1b5ca552a375a84d1d"},"schema_version":"1.0","source":{"id":"1808.08333","kind":"arxiv","version":2}},"canonical_sha256":"698e28a2655636cb857b453ad28832372eed56fcce6b58a4557bae07eecc5b4b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"698e28a2655636cb857b453ad28832372eed56fcce6b58a4557bae07eecc5b4b","first_computed_at":"2026-05-17T23:57:21.419636Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:21.419636Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j/WuRLDPzKUPJPSu2ewLh96FfSw7vPv8bua0bcMM+QvChkaP+fkVRmkwfXHXNz9TIfrLi39NeuQYqjHeD+3GBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:21.420213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.08333","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c6a5929234b6f57d40181d38d3ad7cebb2aa4d2f26e76aac78d1e3da2d48c94","sha256:a3b3cacc7ec4ca4ac0e986722e0efe63f7baa5cd2522bc7c1411f1b762510cdf"],"state_sha256":"87954d9586157fc7a49108c4e6ebf384121704ee3e58a9ea3c39c16ad59017b2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1fkUTKxlXc8qrt9vimV7eKMgiH447XYfdUYRAyQvFVwsUTuGZ3OtSIT1UzrOIzUNQzCO9p4OgjS7qD5Zi4wICA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T17:54:17.662729Z","bundle_sha256":"0601b7b63d2b1e27b748cb571b67c1ae541adfc88cbcd35d25bf52e3be6f765c"}}