{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2003:HT6WA4X3V2OOTK7BJJV6AXNEJR","short_pith_number":"pith:HT6WA4X3","canonical_record":{"source":{"id":"hep-th/0309086","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-08T21:04:38Z","cross_cats_sorted":["astro-ph","cond-mat","hep-ph"],"title_canon_sha256":"5d63262e74282b95ec237517c119b80fc97977a9b8aa613ae28e3e3bc810ea72","abstract_canon_sha256":"8b9a3aef05c8d4909f06a8f441568b150ee8ea7472e859d5f1af11e4971b2f41"},"schema_version":"1.0"},"canonical_sha256":"3cfd6072fbae9ce9abe14a6be05da44c4162ee7361978e2520d89ccb3b697197","source":{"kind":"arxiv","id":"hep-th/0309086","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309086","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309086v2","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309086","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_12","alias_value":"HT6WA4X3V2OO","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_16","alias_value":"HT6WA4X3V2OOTK7B","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_8","alias_value":"HT6WA4X3","created_at":"2026-07-04T16:41:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2003:HT6WA4X3V2OOTK7BJJV6AXNEJR","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0309086","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2003-09-08T21:04:38Z","cross_cats_sorted":["astro-ph","cond-mat","hep-ph"],"title_canon_sha256":"5d63262e74282b95ec237517c119b80fc97977a9b8aa613ae28e3e3bc810ea72","abstract_canon_sha256":"8b9a3aef05c8d4909f06a8f441568b150ee8ea7472e859d5f1af11e4971b2f41"},"schema_version":"1.0"},"canonical_sha256":"3cfd6072fbae9ce9abe14a6be05da44c4162ee7361978e2520d89ccb3b697197","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:41:23.056000Z","signature_b64":"PJyDBZeX+cFwIIe4nycLEaOhsGEzXEHPiPjTZIbVZdrRxDTED2W60HRENiwBsxHxrj3HpFz0ufP4itlZSg9uCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3cfd6072fbae9ce9abe14a6be05da44c4162ee7361978e2520d89ccb3b697197","last_reissued_at":"2026-07-04T16:41:23.055627Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:41:23.055627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0309086","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":"2026-07-04T16:41:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WIhvndi8kwUs5nJiNQfka74RFKRmwBigRD+JI3qDWjXvb7gH554GIFgX0RueY9wf9RKEa7KlUNgPWq4vVTkWBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T07:35:05.812683Z"},"content_sha256":"17fc955e57449995302402b08f08af32f5b76673a1be5ed8b77bf850b029d17f","schema_version":"1.0","event_id":"sha256:17fc955e57449995302402b08f08af32f5b76673a1be5ed8b77bf850b029d17f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2003:HT6WA4X3V2OOTK7BJJV6AXNEJR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconstruction of field theory from excitation spectra of defects","license":"","headline":"","cross_cats":["astro-ph","cond-mat","hep-ph"],"primary_cat":"hep-th","authors_text":"Tanmay Vachaspati","submitted_at":"2003-09-08T21:04:38Z","abstract_excerpt":"We show how to reconstruct a field theory from the spectrum of bound states on a topological defect. We apply our recipe to the case of kinks in 1+1 dimensions with one or two bound states. Our recipe successfully yields the sine-Gordon and $\\lambda \\phi^4$ field theories when suitable bound state spectra are assumed. The recipe can also be used to globally reconstruct the inflaton potential of inflationary cosmology if the inflaton produces a topological defect. We discuss how defects can provide ``smoking gun'' evidence for a class of inflationary models."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309086","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0309086/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":"2026-07-04T16:41:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MvXCu6QOoawYdMp7eMPUQon6wQYd3noEqxC0L1gt2/Vo6tRwIfCZ/ZkKkKxWcW+rXP2lpLBbY0AdiOsKMxzgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T07:35:05.813267Z"},"content_sha256":"ada98d34c482dde9c5596f17d346a48c412f4bd349c72243a13068eec3eb2c5e","schema_version":"1.0","event_id":"sha256:ada98d34c482dde9c5596f17d346a48c412f4bd349c72243a13068eec3eb2c5e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/bundle.json","state_url":"https://pith.science/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/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":"2026-08-07T07:35:05Z","links":{"resolver":"https://pith.science/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR","bundle":"https://pith.science/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/bundle.json","state":"https://pith.science/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HT6WA4X3V2OOTK7BJJV6AXNEJR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:HT6WA4X3V2OOTK7BJJV6AXNEJR","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":"8b9a3aef05c8d4909f06a8f441568b150ee8ea7472e859d5f1af11e4971b2f41","cross_cats_sorted":["astro-ph","cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-08T21:04:38Z","title_canon_sha256":"5d63262e74282b95ec237517c119b80fc97977a9b8aa613ae28e3e3bc810ea72"},"schema_version":"1.0","source":{"id":"hep-th/0309086","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0309086","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0309086v2","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0309086","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_12","alias_value":"HT6WA4X3V2OO","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_16","alias_value":"HT6WA4X3V2OOTK7B","created_at":"2026-07-04T16:41:23Z"},{"alias_kind":"pith_short_8","alias_value":"HT6WA4X3","created_at":"2026-07-04T16:41:23Z"}],"graph_snapshots":[{"event_id":"sha256:ada98d34c482dde9c5596f17d346a48c412f4bd349c72243a13068eec3eb2c5e","target":"graph","created_at":"2026-07-04T16:41:23Z","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/hep-th/0309086/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show how to reconstruct a field theory from the spectrum of bound states on a topological defect. We apply our recipe to the case of kinks in 1+1 dimensions with one or two bound states. Our recipe successfully yields the sine-Gordon and $\\lambda \\phi^4$ field theories when suitable bound state spectra are assumed. The recipe can also be used to globally reconstruct the inflaton potential of inflationary cosmology if the inflaton produces a topological defect. We discuss how defects can provide ``smoking gun'' evidence for a class of inflationary models.","authors_text":"Tanmay Vachaspati","cross_cats":["astro-ph","cond-mat","hep-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2003-09-08T21:04:38Z","title":"Reconstruction of field theory from excitation spectra of defects"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0309086","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":"sha256:17fc955e57449995302402b08f08af32f5b76673a1be5ed8b77bf850b029d17f","target":"record","created_at":"2026-07-04T16:41:23Z","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":"8b9a3aef05c8d4909f06a8f441568b150ee8ea7472e859d5f1af11e4971b2f41","cross_cats_sorted":["astro-ph","cond-mat","hep-ph"],"license":"","primary_cat":"hep-th","submitted_at":"2003-09-08T21:04:38Z","title_canon_sha256":"5d63262e74282b95ec237517c119b80fc97977a9b8aa613ae28e3e3bc810ea72"},"schema_version":"1.0","source":{"id":"hep-th/0309086","kind":"arxiv","version":2}},"canonical_sha256":"3cfd6072fbae9ce9abe14a6be05da44c4162ee7361978e2520d89ccb3b697197","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3cfd6072fbae9ce9abe14a6be05da44c4162ee7361978e2520d89ccb3b697197","first_computed_at":"2026-07-04T16:41:23.055627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:41:23.055627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PJyDBZeX+cFwIIe4nycLEaOhsGEzXEHPiPjTZIbVZdrRxDTED2W60HRENiwBsxHxrj3HpFz0ufP4itlZSg9uCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:41:23.056000Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0309086","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:17fc955e57449995302402b08f08af32f5b76673a1be5ed8b77bf850b029d17f","sha256:ada98d34c482dde9c5596f17d346a48c412f4bd349c72243a13068eec3eb2c5e"],"state_sha256":"149e7072e8e0b91dc71dc1b583eae6d27d7428ae4a37ae012ece3f75e640ab60"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2aI3F5je5+n2tPOlzRgp8FNLL9oJLoHbnFqoADjKIssuyudDDywADYJ2iv0mWCAy8nz8WvciLQ2P5l3uitiNAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T07:35:05.818361Z","bundle_sha256":"2c010feeac2a14c431a92dc15e6f6f38602bf87e28b3ee35412851df29c001ec"}}