{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:KZ36U6QYEKN25L3NDXOUSY3MZJ","short_pith_number":"pith:KZ36U6QY","canonical_record":{"source":{"id":"2606.31622","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-06-30T13:09:28Z","cross_cats_sorted":["hep-ph","math.MP"],"title_canon_sha256":"f9e4922e55a94f40c79f0036ddc5ed1f9005dd8d43180c5f5a54569aa03a934f","abstract_canon_sha256":"397df66c928b4011a62f9e059b5af246d9ebcf5fc1b2e6d35671de9773add415"},"schema_version":"1.0"},"canonical_sha256":"5677ea7a18229baeaf6d1ddd49636cca607881ef8f8ff98283cef782e797dd18","source":{"kind":"arxiv","id":"2606.31622","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31622","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31622v1","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31622","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_12","alias_value":"KZ36U6QYEKN2","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_16","alias_value":"KZ36U6QYEKN25L3N","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_8","alias_value":"KZ36U6QY","created_at":"2026-07-01T01:18:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:KZ36U6QYEKN25L3NDXOUSY3MZJ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.31622","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-06-30T13:09:28Z","cross_cats_sorted":["hep-ph","math.MP"],"title_canon_sha256":"f9e4922e55a94f40c79f0036ddc5ed1f9005dd8d43180c5f5a54569aa03a934f","abstract_canon_sha256":"397df66c928b4011a62f9e059b5af246d9ebcf5fc1b2e6d35671de9773add415"},"schema_version":"1.0"},"canonical_sha256":"5677ea7a18229baeaf6d1ddd49636cca607881ef8f8ff98283cef782e797dd18","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-01T01:18:09.496928Z","signature_b64":"1a23sX+7onf4zPxs8e5uPDIEI3Qn6QZWD+y9Yo1m67x5FOHr4YZP9ztyEIRndI74HOojvyJetq0srTicQrh5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5677ea7a18229baeaf6d1ddd49636cca607881ef8f8ff98283cef782e797dd18","last_reissued_at":"2026-07-01T01:18:09.496507Z","signature_status":"signed_v1","first_computed_at":"2026-07-01T01:18:09.496507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.31622","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":"2026-07-01T01:18:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AWpCpg2KhiKRMd9UPDv3CzWwE4Fogux6gwzw21udrUePVJbUu745ni0O01NFSqN2rcBWi1kGFCADtAXdzgWGDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:29:48.563579Z"},"content_sha256":"a57bd7005ca151b65610c21178c388b2784ea5f8218807741062b8d5ecabb7f4","schema_version":"1.0","event_id":"sha256:a57bd7005ca151b65610c21178c388b2784ea5f8218807741062b8d5ecabb7f4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:KZ36U6QYEKN25L3NDXOUSY3MZJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of the Hydrogen Molecule and Related Issues","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-ph","math.MP"],"primary_cat":"math-ph","authors_text":"Jean-Marc Richard","submitted_at":"2026-06-30T13:09:28Z","abstract_excerpt":"We review the collaboration that led to the first rigorous proof of the stability of the hydrogen molecule within quantum mechanics and discuss several related issues concerning few-charge systems. Particular emphasis is placed on the role of symmetry breaking, the stability domains of Coulombic few-body systems, and some applications to exotic hadrons in the quark model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31622","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/2606.31622/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":"2026-07-01T01:18:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hn/wZvsOYX0hDjGy8zeW78fzzEq0N8vwaTA06ALUJyk2DyuJjUqauiXFLDj4PcoVHJlBPaENEG5Ao+gkGCpHCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T16:29:48.563949Z"},"content_sha256":"56a907aeda8c349436c2aa6f83087e2fc2f33ef79c8596ff1d0754b56ff7ade5","schema_version":"1.0","event_id":"sha256:56a907aeda8c349436c2aa6f83087e2fc2f33ef79c8596ff1d0754b56ff7ade5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/bundle.json","state_url":"https://pith.science/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/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":"2026-07-01T16:29:48Z","links":{"resolver":"https://pith.science/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ","bundle":"https://pith.science/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/bundle.json","state":"https://pith.science/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KZ36U6QYEKN25L3NDXOUSY3MZJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:KZ36U6QYEKN25L3NDXOUSY3MZJ","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":"397df66c928b4011a62f9e059b5af246d9ebcf5fc1b2e6d35671de9773add415","cross_cats_sorted":["hep-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-06-30T13:09:28Z","title_canon_sha256":"f9e4922e55a94f40c79f0036ddc5ed1f9005dd8d43180c5f5a54569aa03a934f"},"schema_version":"1.0","source":{"id":"2606.31622","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31622","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31622v1","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31622","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_12","alias_value":"KZ36U6QYEKN2","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_16","alias_value":"KZ36U6QYEKN25L3N","created_at":"2026-07-01T01:18:09Z"},{"alias_kind":"pith_short_8","alias_value":"KZ36U6QY","created_at":"2026-07-01T01:18:09Z"}],"graph_snapshots":[{"event_id":"sha256:56a907aeda8c349436c2aa6f83087e2fc2f33ef79c8596ff1d0754b56ff7ade5","target":"graph","created_at":"2026-07-01T01:18:09Z","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/2606.31622/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We review the collaboration that led to the first rigorous proof of the stability of the hydrogen molecule within quantum mechanics and discuss several related issues concerning few-charge systems. Particular emphasis is placed on the role of symmetry breaking, the stability domains of Coulombic few-body systems, and some applications to exotic hadrons in the quark model.","authors_text":"Jean-Marc Richard","cross_cats":["hep-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-06-30T13:09:28Z","title":"Stability of the Hydrogen Molecule and Related Issues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31622","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:a57bd7005ca151b65610c21178c388b2784ea5f8218807741062b8d5ecabb7f4","target":"record","created_at":"2026-07-01T01:18:09Z","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":"397df66c928b4011a62f9e059b5af246d9ebcf5fc1b2e6d35671de9773add415","cross_cats_sorted":["hep-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-06-30T13:09:28Z","title_canon_sha256":"f9e4922e55a94f40c79f0036ddc5ed1f9005dd8d43180c5f5a54569aa03a934f"},"schema_version":"1.0","source":{"id":"2606.31622","kind":"arxiv","version":1}},"canonical_sha256":"5677ea7a18229baeaf6d1ddd49636cca607881ef8f8ff98283cef782e797dd18","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5677ea7a18229baeaf6d1ddd49636cca607881ef8f8ff98283cef782e797dd18","first_computed_at":"2026-07-01T01:18:09.496507Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:09.496507Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1a23sX+7onf4zPxs8e5uPDIEI3Qn6QZWD+y9Yo1m67x5FOHr4YZP9ztyEIRndI74HOojvyJetq0srTicQrh5Cg==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:09.496928Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31622","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a57bd7005ca151b65610c21178c388b2784ea5f8218807741062b8d5ecabb7f4","sha256:56a907aeda8c349436c2aa6f83087e2fc2f33ef79c8596ff1d0754b56ff7ade5"],"state_sha256":"1eef1f198df0970d21a5b5eff44d6266923a4885d885d5370b10e493a52f4c36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rvqqzxg5EBbq0UjR1NdGhmE47225TGyc9xQmQPwuZWoG6Is7bJFdXNgr0Vn+qYQOcmd5Gkyf8BUgq190eEhnCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T16:29:48.565997Z","bundle_sha256":"d20b698fdadbd5ef0f1315dedf112302b9ec96b666ac1de22c10798ca8629dc8"}}