{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QF2B5KJHBJWWHNCXKZLKDYKNXB","short_pith_number":"pith:QF2B5KJH","canonical_record":{"source":{"id":"1211.6645","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-28T16:19:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"20fdf349ced3ed490c7d96a28a6374300422a5795e12abb6fa9b1e68f19dd5fc","abstract_canon_sha256":"15d5680a5c164ef42c25cf6c1ce0c09ce7ce27fb37f4ddf64e4bf6eb234d098a"},"schema_version":"1.0"},"canonical_sha256":"81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd","source":{"kind":"arxiv","id":"1211.6645","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6645","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6645v2","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6645","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"QF2B5KJHBJWW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QF2B5KJHBJWWHNCX","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QF2B5KJH","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QF2B5KJHBJWWHNCXKZLKDYKNXB","target":"record","payload":{"canonical_record":{"source":{"id":"1211.6645","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-28T16:19:51Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"20fdf349ced3ed490c7d96a28a6374300422a5795e12abb6fa9b1e68f19dd5fc","abstract_canon_sha256":"15d5680a5c164ef42c25cf6c1ce0c09ce7ce27fb37f4ddf64e4bf6eb234d098a"},"schema_version":"1.0"},"canonical_sha256":"81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:52:53.835413Z","signature_b64":"N0xhggxh5m1PRrh+Elmt1np1e0nNbzDn7hRKvXMNF3GNubbLbrgSxgwpO0JBBuIlS0tCWfF7mGmlVifZ1q+FAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd","last_reissued_at":"2026-05-18T01:52:53.834760Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:52:53.834760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.6645","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":"2026-05-18T01:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S3SX+YpnjruEnz/zy5NvfO5Vy2fIYYOUcMP7g6lGg8/eJcNpZX3ZW5hgGkrJIxoqkH7N/k89vXeK8WznrSwhBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:53:03.607371Z"},"content_sha256":"20510ce389d747328fdd219fa356f0840d0697ddf21d0230fd04082da748b02f","schema_version":"1.0","event_id":"sha256:20510ce389d747328fdd219fa356f0840d0697ddf21d0230fd04082da748b02f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QF2B5KJHBJWWHNCXKZLKDYKNXB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ising n-fold integrals as diagonals of rational functions and integrality of series expansions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Bostan, G. Christol, J.-M. Maillard, S. Boukraa, S. Hassani","submitted_at":"2012-11-28T16:19:51Z","abstract_excerpt":"We show that the n-fold integrals $\\chi^{(n)}$ of the magnetic susceptibility of the Ising model, as well as various other n-fold integrals of the \"Ising class\", or n-fold integrals from enumerative combinatorics, like lattice Green functions, correspond to a distinguished class of function generalising algebraic functions: they are actually diagonals of rational functions. As a consequence, the power series expansions of the, analytic at x=0, solutions of these linear differential equations \"Derived From Geometry\" are globally bounded, which means that, after just one rescaling of the expansi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6645","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":"2026-05-18T01:52:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gvqBri1qTwsx+z5H8DEr05Hpoi4o8RAJVOMgLBo8h1Bm9lNCwKkQZkxvHAYfSQ0qYrn0aB+qDNlTiAwqhRQeDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:53:03.608046Z"},"content_sha256":"a708a7a64489852d547916df68701b835c7e55d48b4d88c7960eb3d819cef7e5","schema_version":"1.0","event_id":"sha256:a708a7a64489852d547916df68701b835c7e55d48b4d88c7960eb3d819cef7e5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/bundle.json","state_url":"https://pith.science/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/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":"2026-05-28T18:53:03Z","links":{"resolver":"https://pith.science/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB","bundle":"https://pith.science/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/bundle.json","state":"https://pith.science/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QF2B5KJHBJWWHNCXKZLKDYKNXB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QF2B5KJHBJWWHNCXKZLKDYKNXB","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":"15d5680a5c164ef42c25cf6c1ce0c09ce7ce27fb37f4ddf64e4bf6eb234d098a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-28T16:19:51Z","title_canon_sha256":"20fdf349ced3ed490c7d96a28a6374300422a5795e12abb6fa9b1e68f19dd5fc"},"schema_version":"1.0","source":{"id":"1211.6645","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.6645","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"arxiv_version","alias_value":"1211.6645v2","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.6645","created_at":"2026-05-18T01:52:53Z"},{"alias_kind":"pith_short_12","alias_value":"QF2B5KJHBJWW","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QF2B5KJHBJWWHNCX","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QF2B5KJH","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:a708a7a64489852d547916df68701b835c7e55d48b4d88c7960eb3d819cef7e5","target":"graph","created_at":"2026-05-18T01:52:53Z","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 show that the n-fold integrals $\\chi^{(n)}$ of the magnetic susceptibility of the Ising model, as well as various other n-fold integrals of the \"Ising class\", or n-fold integrals from enumerative combinatorics, like lattice Green functions, correspond to a distinguished class of function generalising algebraic functions: they are actually diagonals of rational functions. As a consequence, the power series expansions of the, analytic at x=0, solutions of these linear differential equations \"Derived From Geometry\" are globally bounded, which means that, after just one rescaling of the expansi","authors_text":"A. Bostan, G. Christol, J.-M. Maillard, S. Boukraa, S. Hassani","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-28T16:19:51Z","title":"Ising n-fold integrals as diagonals of rational functions and integrality of series expansions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.6645","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":"sha256:20510ce389d747328fdd219fa356f0840d0697ddf21d0230fd04082da748b02f","target":"record","created_at":"2026-05-18T01:52:53Z","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":"15d5680a5c164ef42c25cf6c1ce0c09ce7ce27fb37f4ddf64e4bf6eb234d098a","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-11-28T16:19:51Z","title_canon_sha256":"20fdf349ced3ed490c7d96a28a6374300422a5795e12abb6fa9b1e68f19dd5fc"},"schema_version":"1.0","source":{"id":"1211.6645","kind":"arxiv","version":2}},"canonical_sha256":"81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81741ea9270a6d63b4575656a1e14db852c2455a5c4a9476ed4cd89a86f1aebd","first_computed_at":"2026-05-18T01:52:53.834760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:52:53.834760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"N0xhggxh5m1PRrh+Elmt1np1e0nNbzDn7hRKvXMNF3GNubbLbrgSxgwpO0JBBuIlS0tCWfF7mGmlVifZ1q+FAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:52:53.835413Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.6645","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20510ce389d747328fdd219fa356f0840d0697ddf21d0230fd04082da748b02f","sha256:a708a7a64489852d547916df68701b835c7e55d48b4d88c7960eb3d819cef7e5"],"state_sha256":"6a6ca37b0aeca678c355bf9aaa2f380d20b11b9eb256d01650409a23543dfcce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PVSk7yS37NDoTgmBrzir/hhr8oC+zm4gPRwdilDR8tFdbQKsZw7JMUu3NaYkTmfz+vuCkb5aAt4Dz3ReloWZDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:53:03.611761Z","bundle_sha256":"03efb9ada1d09272c0f93b7cb1d70edbd5ee62430b025b57ccf6ecb54ebce80c"}}