{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IS5MLZESXIFZPC7ONG2XFRX4SI","short_pith_number":"pith:IS5MLZES","canonical_record":{"source":{"id":"1310.4739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2013-10-17T15:09:58Z","cross_cats_sorted":[],"title_canon_sha256":"a5a57aaa11dfa265e604f807d50b1c4515fafc2b4594e599cf2b326edbf1862d","abstract_canon_sha256":"6e561bf1d5e3b94ada735e6c49db681b18eaed9699ffceb3df2505e18a189145"},"schema_version":"1.0"},"canonical_sha256":"44bac5e492ba0b978bee69b572c6fc9213f6e17f21f460e317415a59dc731fc5","source":{"kind":"arxiv","id":"1310.4739","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4739","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4739v1","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4739","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"IS5MLZESXIFZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IS5MLZESXIFZPC7O","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IS5MLZES","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IS5MLZESXIFZPC7ONG2XFRX4SI","target":"record","payload":{"canonical_record":{"source":{"id":"1310.4739","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2013-10-17T15:09:58Z","cross_cats_sorted":[],"title_canon_sha256":"a5a57aaa11dfa265e604f807d50b1c4515fafc2b4594e599cf2b326edbf1862d","abstract_canon_sha256":"6e561bf1d5e3b94ada735e6c49db681b18eaed9699ffceb3df2505e18a189145"},"schema_version":"1.0"},"canonical_sha256":"44bac5e492ba0b978bee69b572c6fc9213f6e17f21f460e317415a59dc731fc5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:12.966662Z","signature_b64":"FxAhbj7UJo4XzF4bsanTM6PqqTNeouEH0BtU7+aisfVwiOno6aBle1Ok6jJZqXcDR7s5Dsp06T76t7KFWO0iBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44bac5e492ba0b978bee69b572c6fc9213f6e17f21f460e317415a59dc731fc5","last_reissued_at":"2026-05-18T03:10:12.966211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:12.966211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.4739","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":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1cTm32CpH4v16/KYDFXNK62BdN6olgguDlKDqmTQUXgZCoadRFciFQqXL6L5ppDrkH3Um7PjZHf6YHeI0OtRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:44:52.944120Z"},"content_sha256":"6d8c96553575332e6d0811636dec066bf4e57b551cf5dab96c741a0f36c6713e","schema_version":"1.0","event_id":"sha256:6d8c96553575332e6d0811636dec066bf4e57b551cf5dab96c741a0f36c6713e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IS5MLZESXIFZPC7ONG2XFRX4SI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Was ist Unendlichkeit - und wenn ja, wie viele?","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Martin Meyries","submitted_at":"2013-10-17T15:09:58Z","abstract_excerpt":"This article, written in German language, gives a very elementary introduction to infinite sets. It is meant for interested non-mathematicians."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4739","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":"2026-05-18T03:10:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GghvuGkLXfXsr5uJNhvxZ9mHPB3zpPV4sjXQjwVi+4c3ZtgTK4oqbhhdUBaubi08hZtiPz0vixA6KZ3SqX1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T03:44:52.944482Z"},"content_sha256":"4ff071f9015126de2d6743cdea4a5472b4fe23aedb2ed6f88ef30a4600d8c53b","schema_version":"1.0","event_id":"sha256:4ff071f9015126de2d6743cdea4a5472b4fe23aedb2ed6f88ef30a4600d8c53b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/bundle.json","state_url":"https://pith.science/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/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":"2026-06-27T03:44:52Z","links":{"resolver":"https://pith.science/pith/IS5MLZESXIFZPC7ONG2XFRX4SI","bundle":"https://pith.science/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/bundle.json","state":"https://pith.science/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IS5MLZESXIFZPC7ONG2XFRX4SI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IS5MLZESXIFZPC7ONG2XFRX4SI","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":"6e561bf1d5e3b94ada735e6c49db681b18eaed9699ffceb3df2505e18a189145","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2013-10-17T15:09:58Z","title_canon_sha256":"a5a57aaa11dfa265e604f807d50b1c4515fafc2b4594e599cf2b326edbf1862d"},"schema_version":"1.0","source":{"id":"1310.4739","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4739","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4739v1","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4739","created_at":"2026-05-18T03:10:12Z"},{"alias_kind":"pith_short_12","alias_value":"IS5MLZESXIFZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"IS5MLZESXIFZPC7O","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"IS5MLZES","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:4ff071f9015126de2d6743cdea4a5472b4fe23aedb2ed6f88ef30a4600d8c53b","target":"graph","created_at":"2026-05-18T03:10:12Z","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":"This article, written in German language, gives a very elementary introduction to infinite sets. It is meant for interested non-mathematicians.","authors_text":"Martin Meyries","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2013-10-17T15:09:58Z","title":"Was ist Unendlichkeit - und wenn ja, wie viele?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4739","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":"sha256:6d8c96553575332e6d0811636dec066bf4e57b551cf5dab96c741a0f36c6713e","target":"record","created_at":"2026-05-18T03:10:12Z","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":"6e561bf1d5e3b94ada735e6c49db681b18eaed9699ffceb3df2505e18a189145","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2013-10-17T15:09:58Z","title_canon_sha256":"a5a57aaa11dfa265e604f807d50b1c4515fafc2b4594e599cf2b326edbf1862d"},"schema_version":"1.0","source":{"id":"1310.4739","kind":"arxiv","version":1}},"canonical_sha256":"44bac5e492ba0b978bee69b572c6fc9213f6e17f21f460e317415a59dc731fc5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44bac5e492ba0b978bee69b572c6fc9213f6e17f21f460e317415a59dc731fc5","first_computed_at":"2026-05-18T03:10:12.966211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:12.966211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FxAhbj7UJo4XzF4bsanTM6PqqTNeouEH0BtU7+aisfVwiOno6aBle1Ok6jJZqXcDR7s5Dsp06T76t7KFWO0iBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:12.966662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4739","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d8c96553575332e6d0811636dec066bf4e57b551cf5dab96c741a0f36c6713e","sha256:4ff071f9015126de2d6743cdea4a5472b4fe23aedb2ed6f88ef30a4600d8c53b"],"state_sha256":"02b15a1d16a87d1e3fd02bcb35da9f62f88f8bb295161bd21aa3702818cbe7a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rDjnPPgV8DEbm4qrquTwX/HZ+SwaShxWgw43LTSa1xXK4DNF9/zSqpmt949dywV8CvfgHnQJfXLpqV2iVJElBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T03:44:52.946393Z","bundle_sha256":"d8c8a1af62c4e234cce30e24d2f6f7ec3f426c6c96d5fe8e498725b80debbd5b"}}