{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:5ZN2STTODPSJQP5V4CCMZNJZHE","short_pith_number":"pith:5ZN2STTO","canonical_record":{"source":{"id":"2406.01454","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T15:43:14Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"ff1cdd5f06041f0c95223707b86e67884563e57b698cc2fa37211fc6fdb23b19","abstract_canon_sha256":"a51c1adfeac2ed32b4398998318491a29d8dc72d6bb6eb76557c07ab6e133c64"},"schema_version":"1.0"},"canonical_sha256":"ee5ba94e6e1be4983fb5e084ccb53939103dedc546ffe0126f4565f50d1caeaa","source":{"kind":"arxiv","id":"2406.01454","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.01454","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2406.01454v1","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01454","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"5ZN2STTODPSJ","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"5ZN2STTODPSJQP5V","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"5ZN2STTO","created_at":"2026-07-05T11:36:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:5ZN2STTODPSJQP5V4CCMZNJZHE","target":"record","payload":{"canonical_record":{"source":{"id":"2406.01454","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T15:43:14Z","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"title_canon_sha256":"ff1cdd5f06041f0c95223707b86e67884563e57b698cc2fa37211fc6fdb23b19","abstract_canon_sha256":"a51c1adfeac2ed32b4398998318491a29d8dc72d6bb6eb76557c07ab6e133c64"},"schema_version":"1.0"},"canonical_sha256":"ee5ba94e6e1be4983fb5e084ccb53939103dedc546ffe0126f4565f50d1caeaa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:36:20.525205Z","signature_b64":"wMTbqrBFlnolnF/HG3GJoSzlGEfgkUqQiBw7j5s7nmPQTPSCTJcgHjMLENS2Vi0IfQkiYPtAu4Fvmp4shndKAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee5ba94e6e1be4983fb5e084ccb53939103dedc546ffe0126f4565f50d1caeaa","last_reissued_at":"2026-07-05T11:36:20.524680Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:36:20.524680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.01454","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":"2026-07-05T11:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hMbckLruRYOIFK1Fi0gVpjYxYLiE06DTewxo450gfsRPSLHnFqFDhhILUFGWE8h7maFUbTV3q95pu8FQW69GBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:40:39.204225Z"},"content_sha256":"490b2921d6c46aa05089119bdd8db2aa36be594f4191b672742ea7fa41e81fb2","schema_version":"1.0","event_id":"sha256:490b2921d6c46aa05089119bdd8db2aa36be594f4191b672742ea7fa41e81fb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:5ZN2STTODPSJQP5V4CCMZNJZHE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Two types of series expansions valid at strong coupling","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"Ariel Edery","submitted_at":"2024-06-03T15:43:14Z","abstract_excerpt":"It is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling. In this work, we present two types of series expansions valid at strong coupling. We apply the series to a basic integral as well as a QM path integral containing a quadratic and quartic term with coupling constant $\\lambda$. The first series is the usual asymptotic one, where the quartic interaction is expanded in powers of $\\lambda$. The second series is an expansion of the quadrati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01454","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.01454/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":"2026-07-05T11:36:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sk+jD9qi5XQxRzVYsxccCcQB75u7c0mykBgJDlsid+dTQZzX9YW+Bm2hMH6vELOL2jaRNq8hMhP6h4SjDjA8CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:40:39.206145Z"},"content_sha256":"5e1c6bd370335e7fcc900eb7e528977d433d4364f8c66319b07e018653f37994","schema_version":"1.0","event_id":"sha256:5e1c6bd370335e7fcc900eb7e528977d433d4364f8c66319b07e018653f37994"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/bundle.json","state_url":"https://pith.science/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/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":"2026-08-17T13:40:39Z","links":{"resolver":"https://pith.science/pith/5ZN2STTODPSJQP5V4CCMZNJZHE","bundle":"https://pith.science/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/bundle.json","state":"https://pith.science/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5ZN2STTODPSJQP5V4CCMZNJZHE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:5ZN2STTODPSJQP5V4CCMZNJZHE","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":"a51c1adfeac2ed32b4398998318491a29d8dc72d6bb6eb76557c07ab6e133c64","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T15:43:14Z","title_canon_sha256":"ff1cdd5f06041f0c95223707b86e67884563e57b698cc2fa37211fc6fdb23b19"},"schema_version":"1.0","source":{"id":"2406.01454","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.01454","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"arxiv_version","alias_value":"2406.01454v1","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.01454","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_12","alias_value":"5ZN2STTODPSJ","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_16","alias_value":"5ZN2STTODPSJQP5V","created_at":"2026-07-05T11:36:20Z"},{"alias_kind":"pith_short_8","alias_value":"5ZN2STTO","created_at":"2026-07-05T11:36:20Z"}],"graph_snapshots":[{"event_id":"sha256:5e1c6bd370335e7fcc900eb7e528977d433d4364f8c66319b07e018653f37994","target":"graph","created_at":"2026-07-05T11:36:20Z","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/2406.01454/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It is known that perturbative expansions in powers of the coupling in quantum mechanics (QM) and quantum field theory (QFT) are asymptotic series. This can be useful at weak coupling but fails at strong coupling. In this work, we present two types of series expansions valid at strong coupling. We apply the series to a basic integral as well as a QM path integral containing a quadratic and quartic term with coupling constant $\\lambda$. The first series is the usual asymptotic one, where the quartic interaction is expanded in powers of $\\lambda$. The second series is an expansion of the quadrati","authors_text":"Ariel Edery","cross_cats":["math-ph","math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T15:43:14Z","title":"Two types of series expansions valid at strong coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.01454","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":"sha256:490b2921d6c46aa05089119bdd8db2aa36be594f4191b672742ea7fa41e81fb2","target":"record","created_at":"2026-07-05T11:36:20Z","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":"a51c1adfeac2ed32b4398998318491a29d8dc72d6bb6eb76557c07ab6e133c64","cross_cats_sorted":["math-ph","math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-06-03T15:43:14Z","title_canon_sha256":"ff1cdd5f06041f0c95223707b86e67884563e57b698cc2fa37211fc6fdb23b19"},"schema_version":"1.0","source":{"id":"2406.01454","kind":"arxiv","version":1}},"canonical_sha256":"ee5ba94e6e1be4983fb5e084ccb53939103dedc546ffe0126f4565f50d1caeaa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee5ba94e6e1be4983fb5e084ccb53939103dedc546ffe0126f4565f50d1caeaa","first_computed_at":"2026-07-05T11:36:20.524680Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:36:20.524680Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wMTbqrBFlnolnF/HG3GJoSzlGEfgkUqQiBw7j5s7nmPQTPSCTJcgHjMLENS2Vi0IfQkiYPtAu4Fvmp4shndKAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:36:20.525205Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.01454","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:490b2921d6c46aa05089119bdd8db2aa36be594f4191b672742ea7fa41e81fb2","sha256:5e1c6bd370335e7fcc900eb7e528977d433d4364f8c66319b07e018653f37994"],"state_sha256":"38a5d0d6c08b7f11f8babaa4d9dc2ac0d6d74ce5b835c77d9cc6744c56f7b6ba"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2wdFJL2LKfL4xc9z/ZNRdz/u4DLbimdpSxPkwg81XNNuTNR9G69EsdBclsqLG73uPmXr5BtNqExvb36oliIjCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T13:40:39.215770Z","bundle_sha256":"f1e5e23c7194adda4f42b389a5bf12615b3959d8472b723471dbc476876ea01e"}}