{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:TWIDB4CQC2TPYS6T5EXQ4CVDGS","short_pith_number":"pith:TWIDB4CQ","canonical_record":{"source":{"id":"1609.09485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-09-29T19:50:29Z","cross_cats_sorted":[],"title_canon_sha256":"d8ac23196ab798fc3414176c5ba0bfc8566afe39b3c2bc75c42310ee79231ae9","abstract_canon_sha256":"379c9ac28d9a8a563afe811a8430e38819d9893e623d64e0520a24311e50dc23"},"schema_version":"1.0"},"canonical_sha256":"9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0","source":{"kind":"arxiv","id":"1609.09485","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09485","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09485v1","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09485","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"TWIDB4CQC2TP","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TWIDB4CQC2TPYS6T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TWIDB4CQ","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:TWIDB4CQC2TPYS6T5EXQ4CVDGS","target":"record","payload":{"canonical_record":{"source":{"id":"1609.09485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-09-29T19:50:29Z","cross_cats_sorted":[],"title_canon_sha256":"d8ac23196ab798fc3414176c5ba0bfc8566afe39b3c2bc75c42310ee79231ae9","abstract_canon_sha256":"379c9ac28d9a8a563afe811a8430e38819d9893e623d64e0520a24311e50dc23"},"schema_version":"1.0"},"canonical_sha256":"9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:03:37.751348Z","signature_b64":"GJObW0h+WobHm6Gzf7JPMgzZJEnK44jc2eJHFbC6IvAHO9l/fkSnCPt1XLogOGJPi41putMBf73wBwCxfv1TAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0","last_reissued_at":"2026-05-18T01:03:37.750759Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:03:37.750759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.09485","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":"2026-05-18T01:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tgUWOBD4ungpivlcnRL6OGaTA2XX3wRJCL2TefsjP0bFv9o2FTbsvfEVHfK/60TqwvjAPiEoLdLiwTW3fGflAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:37:59.251558Z"},"content_sha256":"ece84fc26cad73d62661518dcbd23752ef41c5418b1422d220c5010db2f8611f","schema_version":"1.0","event_id":"sha256:ece84fc26cad73d62661518dcbd23752ef41c5418b1422d220c5010db2f8611f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:TWIDB4CQC2TPYS6T5EXQ4CVDGS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mathematical formulae on coins, parts I and II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.HO","authors_text":"Henryk Fuk\\'s","submitted_at":"2016-09-29T19:50:29Z","abstract_excerpt":"In the article \"The Tale of Two Queens and Two Towering Figures\" published in CNJ in 2012 (CNJ vol. 57 No. 5, pp. 304-315), we discussed the contributions of Copernicus and Newton to coin minting and monetary reforms, as well as the commemoration of their achievements on contemporary coins. In the current article we will examine more explicit aspects of the relationship between mathematical sciences and numismatics, namely the presence of mathematical formulae on coins. We will survey examples of coins depicting mathematical formulae, ranging from some universally recognizable ones to more adv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09485","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":"2026-05-18T01:03:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"25M2cc22zqnwMio3jJORq3MFZ5VXbcKUZUs7n3hSBKCKUC849D9E44HgM1AZK5iuY7U0rgp7wAs9KipVzWEeBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T07:37:59.252285Z"},"content_sha256":"e9779dca0e03725d55b9b45861db0396b78a1db1ddd88e0f2dcedcf9e92cf5ee","schema_version":"1.0","event_id":"sha256:e9779dca0e03725d55b9b45861db0396b78a1db1ddd88e0f2dcedcf9e92cf5ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/bundle.json","state_url":"https://pith.science/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/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":"2026-06-09T07:37:59Z","links":{"resolver":"https://pith.science/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS","bundle":"https://pith.science/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/bundle.json","state":"https://pith.science/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TWIDB4CQC2TPYS6T5EXQ4CVDGS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:TWIDB4CQC2TPYS6T5EXQ4CVDGS","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":"379c9ac28d9a8a563afe811a8430e38819d9893e623d64e0520a24311e50dc23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-09-29T19:50:29Z","title_canon_sha256":"d8ac23196ab798fc3414176c5ba0bfc8566afe39b3c2bc75c42310ee79231ae9"},"schema_version":"1.0","source":{"id":"1609.09485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.09485","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"arxiv_version","alias_value":"1609.09485v1","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.09485","created_at":"2026-05-18T01:03:37Z"},{"alias_kind":"pith_short_12","alias_value":"TWIDB4CQC2TP","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"TWIDB4CQC2TPYS6T","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"TWIDB4CQ","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:e9779dca0e03725d55b9b45861db0396b78a1db1ddd88e0f2dcedcf9e92cf5ee","target":"graph","created_at":"2026-05-18T01:03:37Z","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":"In the article \"The Tale of Two Queens and Two Towering Figures\" published in CNJ in 2012 (CNJ vol. 57 No. 5, pp. 304-315), we discussed the contributions of Copernicus and Newton to coin minting and monetary reforms, as well as the commemoration of their achievements on contemporary coins. In the current article we will examine more explicit aspects of the relationship between mathematical sciences and numismatics, namely the presence of mathematical formulae on coins. We will survey examples of coins depicting mathematical formulae, ranging from some universally recognizable ones to more adv","authors_text":"Henryk Fuk\\'s","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-09-29T19:50:29Z","title":"Mathematical formulae on coins, parts I and II"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.09485","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:ece84fc26cad73d62661518dcbd23752ef41c5418b1422d220c5010db2f8611f","target":"record","created_at":"2026-05-18T01:03:37Z","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":"379c9ac28d9a8a563afe811a8430e38819d9893e623d64e0520a24311e50dc23","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.HO","submitted_at":"2016-09-29T19:50:29Z","title_canon_sha256":"d8ac23196ab798fc3414176c5ba0bfc8566afe39b3c2bc75c42310ee79231ae9"},"schema_version":"1.0","source":{"id":"1609.09485","kind":"arxiv","version":1}},"canonical_sha256":"9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d9030f05016a6fc4bd3e92f0e0aa3348ae9920d2b45f83f345f8291f6b6d0c0","first_computed_at":"2026-05-18T01:03:37.750759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:03:37.750759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GJObW0h+WobHm6Gzf7JPMgzZJEnK44jc2eJHFbC6IvAHO9l/fkSnCPt1XLogOGJPi41putMBf73wBwCxfv1TAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:03:37.751348Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.09485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ece84fc26cad73d62661518dcbd23752ef41c5418b1422d220c5010db2f8611f","sha256:e9779dca0e03725d55b9b45861db0396b78a1db1ddd88e0f2dcedcf9e92cf5ee"],"state_sha256":"b2a3aaf5a7374cc5954e865fcfac4f24511567b3e6633691e2da0b5d444d1739"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"my4zWGBhs3szYrq4t+awGU/VjBAamDtgu7dzknsd34ygauJKJWwg3tte32S1gxkI5sP1enu9vTpO0l7+1er3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T07:37:59.256180Z","bundle_sha256":"87708266ca58f57b913895930dbe9744cc6879a7d38fd45fbcae53499dd10b0a"}}