{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:C24ME6FHUMLH3WVHGC4HGNPTTN","short_pith_number":"pith:C24ME6FH","canonical_record":{"source":{"id":"1504.02276","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-09T12:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"6182790ca3c35c911156182ab231b980b64993f215cd088d052092d455a9d004","abstract_canon_sha256":"d2ec3bc7412aa4832f80f53f02758557164e87082a1cb1acd6ddd0f1e4f6a399"},"schema_version":"1.0"},"canonical_sha256":"16b8c278a7a3167ddaa730b87335f39b53325802c4fdbee7f74e71762c4814c3","source":{"kind":"arxiv","id":"1504.02276","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02276","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02276v3","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02276","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"pith_short_12","alias_value":"C24ME6FHUMLH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C24ME6FHUMLH3WVH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C24ME6FH","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:C24ME6FHUMLH3WVHGC4HGNPTTN","target":"record","payload":{"canonical_record":{"source":{"id":"1504.02276","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-09T12:19:16Z","cross_cats_sorted":[],"title_canon_sha256":"6182790ca3c35c911156182ab231b980b64993f215cd088d052092d455a9d004","abstract_canon_sha256":"d2ec3bc7412aa4832f80f53f02758557164e87082a1cb1acd6ddd0f1e4f6a399"},"schema_version":"1.0"},"canonical_sha256":"16b8c278a7a3167ddaa730b87335f39b53325802c4fdbee7f74e71762c4814c3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:25:01.027119Z","signature_b64":"5yNzQbObZTq8uMY1FTb/U/dbB5cq7/2LuksT/YcbO/xLsfRf5lt/ZdKwv5WxE8dvS5zLaRJPI6Lu/Y0GykJ1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16b8c278a7a3167ddaa730b87335f39b53325802c4fdbee7f74e71762c4814c3","last_reissued_at":"2026-05-18T01:25:01.026423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:25:01.026423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.02276","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:25:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sPHK7b1mcS1tFf5HpfuVbehJLU07ZXSCa9Bg+qEpESTLrJtlHL/x3vZirYm6CtDi3FRGRkM2d4w5QcdU5ESzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:01:09.570807Z"},"content_sha256":"e8d7c923ecfb910885cccadc6be4e0db8fefa2fd8124ac47bd9234d51c6d0582","schema_version":"1.0","event_id":"sha256:e8d7c923ecfb910885cccadc6be4e0db8fefa2fd8124ac47bd9234d51c6d0582"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:C24ME6FHUMLH3WVHGC4HGNPTTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpolating function and Stokes Phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Dileep P. Jatkar, Masazumi Honda","submitted_at":"2015-04-09T12:19:16Z","abstract_excerpt":"When we have two expansions of physical quantity around two different points in parameter space, we can usually construct a family of functions, which interpolates the both expansions. In this paper we study analytic structures of such interpolating functions and discuss their physical implications. We propose that the analytic structures of the interpolating functions provide information on analytic property and Stokes phenomena of the physical quantity, which we approximate by the interpolating functions. We explicitly check our proposal for partition functions of zero-dimensional $\\varphi^4"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02276","kind":"arxiv","version":3},"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":"2026-05-18T01:25:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GQHQRoiki05lp2ZFmkojeM3huzJbfrp6C1VBbaCPyO3ZC7jQUrRBHCDgrLqRsOE5eUAUjDleLUCjzNto/USLBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T12:01:09.571341Z"},"content_sha256":"15a3ce6f7f1a4bd9b7a85a7f039d341fef6628b6d4c1fe253a1d69e41dbb854e","schema_version":"1.0","event_id":"sha256:15a3ce6f7f1a4bd9b7a85a7f039d341fef6628b6d4c1fe253a1d69e41dbb854e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/bundle.json","state_url":"https://pith.science/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/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":"2026-05-23T12:01:09Z","links":{"resolver":"https://pith.science/pith/C24ME6FHUMLH3WVHGC4HGNPTTN","bundle":"https://pith.science/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/bundle.json","state":"https://pith.science/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C24ME6FHUMLH3WVHGC4HGNPTTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:C24ME6FHUMLH3WVHGC4HGNPTTN","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":"d2ec3bc7412aa4832f80f53f02758557164e87082a1cb1acd6ddd0f1e4f6a399","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-09T12:19:16Z","title_canon_sha256":"6182790ca3c35c911156182ab231b980b64993f215cd088d052092d455a9d004"},"schema_version":"1.0","source":{"id":"1504.02276","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.02276","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"arxiv_version","alias_value":"1504.02276v3","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.02276","created_at":"2026-05-18T01:25:01Z"},{"alias_kind":"pith_short_12","alias_value":"C24ME6FHUMLH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"C24ME6FHUMLH3WVH","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"C24ME6FH","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:15a3ce6f7f1a4bd9b7a85a7f039d341fef6628b6d4c1fe253a1d69e41dbb854e","target":"graph","created_at":"2026-05-18T01:25:01Z","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":"When we have two expansions of physical quantity around two different points in parameter space, we can usually construct a family of functions, which interpolates the both expansions. In this paper we study analytic structures of such interpolating functions and discuss their physical implications. We propose that the analytic structures of the interpolating functions provide information on analytic property and Stokes phenomena of the physical quantity, which we approximate by the interpolating functions. We explicitly check our proposal for partition functions of zero-dimensional $\\varphi^4","authors_text":"Dileep P. Jatkar, Masazumi Honda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-09T12:19:16Z","title":"Interpolating function and Stokes Phenomena"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02276","kind":"arxiv","version":3},"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:e8d7c923ecfb910885cccadc6be4e0db8fefa2fd8124ac47bd9234d51c6d0582","target":"record","created_at":"2026-05-18T01:25:01Z","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":"d2ec3bc7412aa4832f80f53f02758557164e87082a1cb1acd6ddd0f1e4f6a399","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-09T12:19:16Z","title_canon_sha256":"6182790ca3c35c911156182ab231b980b64993f215cd088d052092d455a9d004"},"schema_version":"1.0","source":{"id":"1504.02276","kind":"arxiv","version":3}},"canonical_sha256":"16b8c278a7a3167ddaa730b87335f39b53325802c4fdbee7f74e71762c4814c3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16b8c278a7a3167ddaa730b87335f39b53325802c4fdbee7f74e71762c4814c3","first_computed_at":"2026-05-18T01:25:01.026423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:01.026423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"5yNzQbObZTq8uMY1FTb/U/dbB5cq7/2LuksT/YcbO/xLsfRf5lt/ZdKwv5WxE8dvS5zLaRJPI6Lu/Y0GykJ1AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:01.027119Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.02276","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8d7c923ecfb910885cccadc6be4e0db8fefa2fd8124ac47bd9234d51c6d0582","sha256:15a3ce6f7f1a4bd9b7a85a7f039d341fef6628b6d4c1fe253a1d69e41dbb854e"],"state_sha256":"27fefff419c81b9461bfb2312ab8101bf0a8d4338beaa3772ada7d249b436ad0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0r8xJD5yzUAI5xFjMr45yMBQG/5wPYFNguexFEjkE7xHyX4mUqK6wiJrkJhn5vSW7BS4/PicftSqglvkvSGcCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T12:01:09.574943Z","bundle_sha256":"b3dfeaaf5d0a02a9f89dcb6acedc14e9faf5ca501a6f97beb484684b665f112c"}}