{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:H7QZIY3SVJSPUKCTPQ4YX4LL2W","short_pith_number":"pith:H7QZIY3S","canonical_record":{"source":{"id":"1306.1299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c4cb944dcf95707d120164a8757761612a9da622cf3aa48a53bcda25cf441b30","abstract_canon_sha256":"37af72c729a5509977128384b5e1fc3d38020fc5fc9581ada77e624b5e66a6cd"},"schema_version":"1.0"},"canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","source":{"kind":"arxiv","id":"1306.1299","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1299","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1299v1","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1299","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"H7QZIY3SVJSP","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H7QZIY3SVJSPUKCT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H7QZIY3S","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:H7QZIY3SVJSPUKCTPQ4YX4LL2W","target":"record","payload":{"canonical_record":{"source":{"id":"1306.1299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c4cb944dcf95707d120164a8757761612a9da622cf3aa48a53bcda25cf441b30","abstract_canon_sha256":"37af72c729a5509977128384b5e1fc3d38020fc5fc9581ada77e624b5e66a6cd"},"schema_version":"1.0"},"canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:32.144169Z","signature_b64":"t/0l/QVcmqBQ5uep8xwsk/KGVs5NlOMXdQa/Hr/O5eM7rAjcndJFo33dfED9E98+Rte5kd7mrUC00Rok8QdjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","last_reissued_at":"2026-05-18T01:49:32.143627Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:32.143627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.1299","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":"2026-05-18T01:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xzb29YFpBFHHp4pu91v2sU/F1XuAmOqHgajDMjSe07C6qNX2au36GcHSKn394eLVA4P5ULZ8/qx8CSl5v2awBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:02:57.468386Z"},"content_sha256":"2e1ac3e870ba627af4ddeb0756197089b1af320a4ae30d202aa409dfc75e6b67","schema_version":"1.0","event_id":"sha256:2e1ac3e870ba627af4ddeb0756197089b1af320a4ae30d202aa409dfc75e6b67"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:H7QZIY3SVJSPUKCTPQ4YX4LL2W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A series test of the scaling limit of self-avoiding walks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Anthony J. Guttmann, Jesper L. Jacobsen","submitted_at":"2013-06-06T05:32:30Z","abstract_excerpt":"It is widely believed that the scaling limit of self-avoiding walks (SAWs) at the critical temperature is (i) conformally invariant, and (ii) describable by Schramm-Loewner Evolution (SLE) with parameter $\\kappa = 8/3.$ We consider SAWs in a rectangle, which originate at its centre and end when they reach the boundary. We assume that the scaling limit of SAWs is describable by ${\\rm SLE}_\\kappa,$ with the value of $\\kappa$ to be determined. It has previously been shown by Guttmann and Kennedy \\cite{GK13} that, in the scaling limit, the ratio of the probability that a SAW hits the side of the r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1299","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":"2026-05-18T01:49:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OstHK7uqJg3aTuUco+1/eTjtye3cxYRUn2JOdKf2SpOV3JmA3pq3r8idcOnTIBy/U+uZmKbvUb3qbds5dz3oAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:02:57.468722Z"},"content_sha256":"0ebabdf8df5dc8ea77522e6fc4d70b8c66d48d456484ead1a3aaa6c941703555","schema_version":"1.0","event_id":"sha256:0ebabdf8df5dc8ea77522e6fc4d70b8c66d48d456484ead1a3aaa6c941703555"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/bundle.json","state_url":"https://pith.science/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/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":"2026-07-05T02:02:57Z","links":{"resolver":"https://pith.science/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W","bundle":"https://pith.science/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/bundle.json","state":"https://pith.science/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/H7QZIY3SVJSPUKCTPQ4YX4LL2W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:H7QZIY3SVJSPUKCTPQ4YX4LL2W","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":"37af72c729a5509977128384b5e1fc3d38020fc5fc9581ada77e624b5e66a6cd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","title_canon_sha256":"c4cb944dcf95707d120164a8757761612a9da622cf3aa48a53bcda25cf441b30"},"schema_version":"1.0","source":{"id":"1306.1299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.1299","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"arxiv_version","alias_value":"1306.1299v1","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.1299","created_at":"2026-05-18T01:49:32Z"},{"alias_kind":"pith_short_12","alias_value":"H7QZIY3SVJSP","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"H7QZIY3SVJSPUKCT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"H7QZIY3S","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:0ebabdf8df5dc8ea77522e6fc4d70b8c66d48d456484ead1a3aaa6c941703555","target":"graph","created_at":"2026-05-18T01:49:32Z","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":"It is widely believed that the scaling limit of self-avoiding walks (SAWs) at the critical temperature is (i) conformally invariant, and (ii) describable by Schramm-Loewner Evolution (SLE) with parameter $\\kappa = 8/3.$ We consider SAWs in a rectangle, which originate at its centre and end when they reach the boundary. We assume that the scaling limit of SAWs is describable by ${\\rm SLE}_\\kappa,$ with the value of $\\kappa$ to be determined. It has previously been shown by Guttmann and Kennedy \\cite{GK13} that, in the scaling limit, the ratio of the probability that a SAW hits the side of the r","authors_text":"Anthony J. Guttmann, Jesper L. Jacobsen","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","title":"A series test of the scaling limit of self-avoiding walks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.1299","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":"sha256:2e1ac3e870ba627af4ddeb0756197089b1af320a4ae30d202aa409dfc75e6b67","target":"record","created_at":"2026-05-18T01:49:32Z","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":"37af72c729a5509977128384b5e1fc3d38020fc5fc9581ada77e624b5e66a6cd","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-06T05:32:30Z","title_canon_sha256":"c4cb944dcf95707d120164a8757761612a9da622cf3aa48a53bcda25cf441b30"},"schema_version":"1.0","source":{"id":"1306.1299","kind":"arxiv","version":1}},"canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3fe1946372aa64fa28537c398bf16bd583a39e6b56bde70c74a15e2df307d32b","first_computed_at":"2026-05-18T01:49:32.143627Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:32.143627Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"t/0l/QVcmqBQ5uep8xwsk/KGVs5NlOMXdQa/Hr/O5eM7rAjcndJFo33dfED9E98+Rte5kd7mrUC00Rok8QdjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:32.144169Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.1299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e1ac3e870ba627af4ddeb0756197089b1af320a4ae30d202aa409dfc75e6b67","sha256:0ebabdf8df5dc8ea77522e6fc4d70b8c66d48d456484ead1a3aaa6c941703555"],"state_sha256":"9ed4036b39d65f64c42c8597f15b4f5f07b1d07b599715491bc3f10aaf4f64d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iw0l/fuUoJMYVA/rPr/SBQuq57kYbm8I0n4tgDK1B13vOhpyNTbgre2hfFPvLvFdtUu/eQ3mDT7vR9NwABxcAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T02:02:57.470607Z","bundle_sha256":"f182ac7e201e3cde8e92564c781680e19f2698728a5fef763ea517d1580f071a"}}