{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6GDJAUMXYHTNXUBJUI3YDLMVWC","short_pith_number":"pith:6GDJAUMX","canonical_record":{"source":{"id":"1611.03137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:19:02Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"bdd04bbb7cd087880dd8489f740cdd6f7936723c37e2b42c1963bc64b6dc07e1","abstract_canon_sha256":"4a6d69ef37ed1f623a218118e4d1d665410c4b4585b89b971a0640ff901f10b3"},"schema_version":"1.0"},"canonical_sha256":"f186905197c1e6dbd029a23781ad95b099734a1617171c11db666495125bd46a","source":{"kind":"arxiv","id":"1611.03137","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03137","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03137v2","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03137","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"6GDJAUMXYHTN","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6GDJAUMXYHTNXUBJ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6GDJAUMX","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6GDJAUMXYHTNXUBJUI3YDLMVWC","target":"record","payload":{"canonical_record":{"source":{"id":"1611.03137","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:19:02Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"bdd04bbb7cd087880dd8489f740cdd6f7936723c37e2b42c1963bc64b6dc07e1","abstract_canon_sha256":"4a6d69ef37ed1f623a218118e4d1d665410c4b4585b89b971a0640ff901f10b3"},"schema_version":"1.0"},"canonical_sha256":"f186905197c1e6dbd029a23781ad95b099734a1617171c11db666495125bd46a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:49:14.067199Z","signature_b64":"VKbBt+dGz8krCjqMf9PL9FNZa77tTetTk/0AO8KVEsaxOi1OFdVF7lVqbVxW7fTYna5r2LA509slYh0bdoPWAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f186905197c1e6dbd029a23781ad95b099734a1617171c11db666495125bd46a","last_reissued_at":"2026-05-18T00:49:14.066396Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:49:14.066396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.03137","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":"2026-05-18T00:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/5ciEaJVLRjVHezfc/gp8RFNmochgiWQy2BgypohU+iXUNGbxlkWDwlpjXg8A0tfhVsvv35AiDgTBazuYihlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:57:18.593593Z"},"content_sha256":"67add35ba3d9fb5d5ade07e4d2fc647269107c43a8f379f7a720b2a06ff7f425","schema_version":"1.0","event_id":"sha256:67add35ba3d9fb5d5ade07e4d2fc647269107c43a8f379f7a720b2a06ff7f425"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6GDJAUMXYHTNXUBJUI3YDLMVWC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Periodic Table of Effective Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Chia-Hsien Shen, Clifford Cheung, Jaroslav Trnka, Jiri Novotny, Karol Kampf","submitted_at":"2016-11-10T00:19:02Z","abstract_excerpt":"We systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowed space of EFTs, we prove that exceptional EFTs like the non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie precisely on the boundary of allowed theory space. Using on-shell m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03137","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":"2026-05-18T00:49:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nn70++WCkpWQtOi7dkW43gI3hyY1zqClBOecK2b/QQ5wZ54AfTj25r5i29LHLQO7Y77IGThmKfgEjeCI63BhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:57:18.594233Z"},"content_sha256":"808c2c9bf837661b4f1a14a705a6a363e1d4a2b02c45400d47fd0b0698ae3691","schema_version":"1.0","event_id":"sha256:808c2c9bf837661b4f1a14a705a6a363e1d4a2b02c45400d47fd0b0698ae3691"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/bundle.json","state_url":"https://pith.science/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/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":"2026-05-22T19:57:18Z","links":{"resolver":"https://pith.science/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC","bundle":"https://pith.science/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/bundle.json","state":"https://pith.science/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6GDJAUMXYHTNXUBJUI3YDLMVWC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6GDJAUMXYHTNXUBJUI3YDLMVWC","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":"4a6d69ef37ed1f623a218118e4d1d665410c4b4585b89b971a0640ff901f10b3","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:19:02Z","title_canon_sha256":"bdd04bbb7cd087880dd8489f740cdd6f7936723c37e2b42c1963bc64b6dc07e1"},"schema_version":"1.0","source":{"id":"1611.03137","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03137","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03137v2","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03137","created_at":"2026-05-18T00:49:14Z"},{"alias_kind":"pith_short_12","alias_value":"6GDJAUMXYHTN","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6GDJAUMXYHTNXUBJ","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6GDJAUMX","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:808c2c9bf837661b4f1a14a705a6a363e1d4a2b02c45400d47fd0b0698ae3691","target":"graph","created_at":"2026-05-18T00:49:14Z","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 systematically explore the space of scalar effective field theories (EFTs) consistent with a Lorentz invariant and local S-matrix. To do so we define an EFT classification based on four parameters characterizing 1) the number of derivatives per interaction, 2) the soft properties of amplitudes, 3) the leading valency of the interactions, and 4) the spacetime dimension. Carving out the allowed space of EFTs, we prove that exceptional EFTs like the non-linear sigma model, Dirac-Born-Infeld theory, and the special Galileon lie precisely on the boundary of allowed theory space. Using on-shell m","authors_text":"Chia-Hsien Shen, Clifford Cheung, Jaroslav Trnka, Jiri Novotny, Karol Kampf","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:19:02Z","title":"A Periodic Table of Effective Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03137","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":"sha256:67add35ba3d9fb5d5ade07e4d2fc647269107c43a8f379f7a720b2a06ff7f425","target":"record","created_at":"2026-05-18T00:49:14Z","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":"4a6d69ef37ed1f623a218118e4d1d665410c4b4585b89b971a0640ff901f10b3","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-10T00:19:02Z","title_canon_sha256":"bdd04bbb7cd087880dd8489f740cdd6f7936723c37e2b42c1963bc64b6dc07e1"},"schema_version":"1.0","source":{"id":"1611.03137","kind":"arxiv","version":2}},"canonical_sha256":"f186905197c1e6dbd029a23781ad95b099734a1617171c11db666495125bd46a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f186905197c1e6dbd029a23781ad95b099734a1617171c11db666495125bd46a","first_computed_at":"2026-05-18T00:49:14.066396Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:14.066396Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VKbBt+dGz8krCjqMf9PL9FNZa77tTetTk/0AO8KVEsaxOi1OFdVF7lVqbVxW7fTYna5r2LA509slYh0bdoPWAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:14.067199Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03137","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67add35ba3d9fb5d5ade07e4d2fc647269107c43a8f379f7a720b2a06ff7f425","sha256:808c2c9bf837661b4f1a14a705a6a363e1d4a2b02c45400d47fd0b0698ae3691"],"state_sha256":"549f8cb504392cce18626144f435cf7dc934ce6cebf9e03e91e08b8d361ca5b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LFTMgxDNeCuZLLlkfiUcpASfJqHQotWRk5b90QD7Kb26lga6wnanG7e/TRey/PSehiZ/qtj0fXlww4Nqp+q5Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T19:57:18.597532Z","bundle_sha256":"b3277f11554b732e6de009b29892b9ec865b6eecaa2751b96a8c8c645e502e41"}}