{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:PWYTYMZYKV3OIJISEYCGWNFBL6","short_pith_number":"pith:PWYTYMZY","canonical_record":{"source":{"id":"1804.06747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-04-17T15:42:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6e27bd15a140b5379f1eac2b1346369f3e2cdbf39499a23b201d737859696caf","abstract_canon_sha256":"05f8f178741abe694976426522a6a38f78bde6f6e74960c37c197255b8e7ecaf"},"schema_version":"1.0"},"canonical_sha256":"7db13c33385576e4251226046b34a15faf81fe38c6bacbca26cbeea33fd963d9","source":{"kind":"arxiv","id":"1804.06747","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06747","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06747v1","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06747","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"PWYTYMZYKV3O","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PWYTYMZYKV3OIJIS","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PWYTYMZY","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:PWYTYMZYKV3OIJISEYCGWNFBL6","target":"record","payload":{"canonical_record":{"source":{"id":"1804.06747","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-04-17T15:42:02Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"6e27bd15a140b5379f1eac2b1346369f3e2cdbf39499a23b201d737859696caf","abstract_canon_sha256":"05f8f178741abe694976426522a6a38f78bde6f6e74960c37c197255b8e7ecaf"},"schema_version":"1.0"},"canonical_sha256":"7db13c33385576e4251226046b34a15faf81fe38c6bacbca26cbeea33fd963d9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:18:05.841679Z","signature_b64":"l0QcuSm6ErP+5+KW83cdfi8MVxV+tqU49YRNzZAULAgKxwr1rIPwvZprtrD5+QRZOM6qHE3L7D0T4cAT8xR0Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7db13c33385576e4251226046b34a15faf81fe38c6bacbca26cbeea33fd963d9","last_reissued_at":"2026-05-18T00:18:05.841102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:18:05.841102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.06747","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":"2026-05-18T00:18:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CoTyztYSQb3atAvJvK4d5RIKgdoVSjWK36py+DYoFqUicfE94tyrbIaUmhGMf5Fp+5D4pPO7/tbfyzMS7aOYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:20:57.599378Z"},"content_sha256":"cb1abc6bf964ee640d81efc25e21520e25b15f45eec8b0280b0a13cfc44457ee","schema_version":"1.0","event_id":"sha256:cb1abc6bf964ee640d81efc25e21520e25b15f45eec8b0280b0a13cfc44457ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:PWYTYMZYKV3OIJISEYCGWNFBL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Zero range (contact) interactions conspire to produce Efimov trimers and quadrimers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Gianfausto Dell'Antonio","submitted_at":"2018-04-17T15:42:02Z","abstract_excerpt":"We introduce \\emph{contact (zero range) interactions } , a special class of self-adjoint extensions of the N-body Schr\\\"odinger free hamiltonian $ H_0$ restricted to functions with support away from the \\emph{contact manifold} $ \\Gamma \\equiv \\cup \\Gamma_{i,j} \\;\\;\\; \\Gamma_{i,j}\\equiv \\{x_i = x_j \\; i \\not= j \\} \\;,\\; x_i \\in R^3 $.\n  These extensions are defined by boundary conditions at $ \\Gamma$.\n  We discuss the spectral properties as function of the masses and the statistics\n  The (Efimov) spectrum is entirely due \"conspiracy\" of the contact interactions of two pairs.\n  These states are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06747","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":""},"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":"2026-05-18T00:18:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cbdofQ8pfVlz6CSF2U/iDqXECtKhwINNTRBaHAtrlc3JqQi91Qr8jRwTAUQbJ8NbtRx2QR33ZfCXg3JYFrKXAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T07:20:57.599914Z"},"content_sha256":"74f240e8a29618e77ec9cff7f207e94be5162da2aeab5b39ccddd84705a5be1a","schema_version":"1.0","event_id":"sha256:74f240e8a29618e77ec9cff7f207e94be5162da2aeab5b39ccddd84705a5be1a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/bundle.json","state_url":"https://pith.science/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/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":"2026-05-30T07:20:57Z","links":{"resolver":"https://pith.science/pith/PWYTYMZYKV3OIJISEYCGWNFBL6","bundle":"https://pith.science/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/bundle.json","state":"https://pith.science/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PWYTYMZYKV3OIJISEYCGWNFBL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:PWYTYMZYKV3OIJISEYCGWNFBL6","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":"05f8f178741abe694976426522a6a38f78bde6f6e74960c37c197255b8e7ecaf","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-04-17T15:42:02Z","title_canon_sha256":"6e27bd15a140b5379f1eac2b1346369f3e2cdbf39499a23b201d737859696caf"},"schema_version":"1.0","source":{"id":"1804.06747","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.06747","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"arxiv_version","alias_value":"1804.06747v1","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.06747","created_at":"2026-05-18T00:18:05Z"},{"alias_kind":"pith_short_12","alias_value":"PWYTYMZYKV3O","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"PWYTYMZYKV3OIJIS","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"PWYTYMZY","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:74f240e8a29618e77ec9cff7f207e94be5162da2aeab5b39ccddd84705a5be1a","target":"graph","created_at":"2026-05-18T00:18:05Z","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 introduce \\emph{contact (zero range) interactions } , a special class of self-adjoint extensions of the N-body Schr\\\"odinger free hamiltonian $ H_0$ restricted to functions with support away from the \\emph{contact manifold} $ \\Gamma \\equiv \\cup \\Gamma_{i,j} \\;\\;\\; \\Gamma_{i,j}\\equiv \\{x_i = x_j \\; i \\not= j \\} \\;,\\; x_i \\in R^3 $.\n  These extensions are defined by boundary conditions at $ \\Gamma$.\n  We discuss the spectral properties as function of the masses and the statistics\n  The (Efimov) spectrum is entirely due \"conspiracy\" of the contact interactions of two pairs.\n  These states are ","authors_text":"Gianfausto Dell'Antonio","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-04-17T15:42:02Z","title":"Zero range (contact) interactions conspire to produce Efimov trimers and quadrimers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.06747","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:cb1abc6bf964ee640d81efc25e21520e25b15f45eec8b0280b0a13cfc44457ee","target":"record","created_at":"2026-05-18T00:18:05Z","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":"05f8f178741abe694976426522a6a38f78bde6f6e74960c37c197255b8e7ecaf","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-04-17T15:42:02Z","title_canon_sha256":"6e27bd15a140b5379f1eac2b1346369f3e2cdbf39499a23b201d737859696caf"},"schema_version":"1.0","source":{"id":"1804.06747","kind":"arxiv","version":1}},"canonical_sha256":"7db13c33385576e4251226046b34a15faf81fe38c6bacbca26cbeea33fd963d9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7db13c33385576e4251226046b34a15faf81fe38c6bacbca26cbeea33fd963d9","first_computed_at":"2026-05-18T00:18:05.841102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:18:05.841102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"l0QcuSm6ErP+5+KW83cdfi8MVxV+tqU49YRNzZAULAgKxwr1rIPwvZprtrD5+QRZOM6qHE3L7D0T4cAT8xR0Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T00:18:05.841679Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.06747","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb1abc6bf964ee640d81efc25e21520e25b15f45eec8b0280b0a13cfc44457ee","sha256:74f240e8a29618e77ec9cff7f207e94be5162da2aeab5b39ccddd84705a5be1a"],"state_sha256":"a942a637f46494bc7e7b9402d822857bdcf54e41c5f5ce14eb26ea3e748bc1f8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"24s7Dj5XWmMinrJvc88An35ndQyYs93yLltT2gn1lYuwPPQz5d0Nj6AmU6fG+ym5ACXEwndg6KlxIyQzClWcAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T07:20:57.602155Z","bundle_sha256":"82e7de6fbb0effd12de201dbc9d4e3d7804eeb9531e3499a48968332acb56bdd"}}