{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:GN2N3EG2A4BE2GMKML3OHBCZLV","short_pith_number":"pith:GN2N3EG2","canonical_record":{"source":{"id":"physics/9904016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.gen-ph","submitted_at":"1999-04-09T13:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"f100922f39b993addac61e5f48ecf168961911eff5d11dd151219de00775d66b","abstract_canon_sha256":"1a4e6bef0b6e4455ba38cce9e8aa084b7b55c49a282d6b6e062fbf39940e89f6"},"schema_version":"1.0"},"canonical_sha256":"3374dd90da07024d198a62f6e384595d4ca3e04f10ffae9d34a6f7e9aa9e92b2","source":{"kind":"arxiv","id":"physics/9904016","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9904016","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9904016v1","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9904016","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"GN2N3EG2A4BE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GN2N3EG2A4BE2GMK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GN2N3EG2","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:GN2N3EG2A4BE2GMKML3OHBCZLV","target":"record","payload":{"canonical_record":{"source":{"id":"physics/9904016","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"physics.gen-ph","submitted_at":"1999-04-09T13:53:43Z","cross_cats_sorted":[],"title_canon_sha256":"f100922f39b993addac61e5f48ecf168961911eff5d11dd151219de00775d66b","abstract_canon_sha256":"1a4e6bef0b6e4455ba38cce9e8aa084b7b55c49a282d6b6e062fbf39940e89f6"},"schema_version":"1.0"},"canonical_sha256":"3374dd90da07024d198a62f6e384595d4ca3e04f10ffae9d34a6f7e9aa9e92b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:15.482953Z","signature_b64":"1HljsmJoVEecUhITP4MBZ6kgGh3oVVg1fG0uco1W7q+9VyUBmpPSNKMeJiBH02liTgwg0YYdjXOkq6osjDigCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3374dd90da07024d198a62f6e384595d4ca3e04f10ffae9d34a6f7e9aa9e92b2","last_reissued_at":"2026-05-18T01:05:15.482333Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:15.482333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"physics/9904016","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":"2026-05-18T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXgskdRGC+X0LnvPVUepXJNTIYEqT+HCti+mUFa7xcQeCsBgH/ZGHned5dXDw7u+2sUAXvIgoukJ6Nlo3bSCBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:39:16.731824Z"},"content_sha256":"d3c7a3ec6d129f2328edde8c4a9ed47e0e89bcaa14457a830dfa263b2dccd98c","schema_version":"1.0","event_id":"sha256:d3c7a3ec6d129f2328edde8c4a9ed47e0e89bcaa14457a830dfa263b2dccd98c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:GN2N3EG2A4BE2GMKML3OHBCZLV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Binary Mole","license":"","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Joel M. Williams (JMC Williams Consultants, Los Alamos, NM)","submitted_at":"1999-04-09T13:53:43Z","abstract_excerpt":"Avogadro's number is a count of a definite number of things and, therefore, must be an integer and not a floating point number. Arguments are given herein that this integer should be precisely 2E79 - that is,\n  N_o = 2E79 = 6.04 462 909 107 318 607 353 088 E23;\n hence, the binary mole."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9904016","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":"2026-05-18T01:05:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VFiDVa9IobDvVmvRQssvEJ/LTD+bOcxQ+Xx/oS37dNEUkbZqzNxVSHHOXMO6qkVsSgcsmctoY5MaVPj924NPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:39:16.732636Z"},"content_sha256":"23de26aa91d07b67debbde8fe3e7a73792699cf108ad01860d09de0fec4262d4","schema_version":"1.0","event_id":"sha256:23de26aa91d07b67debbde8fe3e7a73792699cf108ad01860d09de0fec4262d4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/bundle.json","state_url":"https://pith.science/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/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":"2026-06-10T06:39:16Z","links":{"resolver":"https://pith.science/pith/GN2N3EG2A4BE2GMKML3OHBCZLV","bundle":"https://pith.science/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/bundle.json","state":"https://pith.science/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GN2N3EG2A4BE2GMKML3OHBCZLV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:GN2N3EG2A4BE2GMKML3OHBCZLV","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":"1a4e6bef0b6e4455ba38cce9e8aa084b7b55c49a282d6b6e062fbf39940e89f6","cross_cats_sorted":[],"license":"","primary_cat":"physics.gen-ph","submitted_at":"1999-04-09T13:53:43Z","title_canon_sha256":"f100922f39b993addac61e5f48ecf168961911eff5d11dd151219de00775d66b"},"schema_version":"1.0","source":{"id":"physics/9904016","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"physics/9904016","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"arxiv_version","alias_value":"physics/9904016v1","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/9904016","created_at":"2026-05-18T01:05:15Z"},{"alias_kind":"pith_short_12","alias_value":"GN2N3EG2A4BE","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"GN2N3EG2A4BE2GMK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"GN2N3EG2","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:23de26aa91d07b67debbde8fe3e7a73792699cf108ad01860d09de0fec4262d4","target":"graph","created_at":"2026-05-18T01:05:15Z","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":"Avogadro's number is a count of a definite number of things and, therefore, must be an integer and not a floating point number. Arguments are given herein that this integer should be precisely 2E79 - that is,\n  N_o = 2E79 = 6.04 462 909 107 318 607 353 088 E23;\n hence, the binary mole.","authors_text":"Joel M. Williams (JMC Williams Consultants, Los Alamos, NM)","cross_cats":[],"headline":"","license":"","primary_cat":"physics.gen-ph","submitted_at":"1999-04-09T13:53:43Z","title":"The Binary Mole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/9904016","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:d3c7a3ec6d129f2328edde8c4a9ed47e0e89bcaa14457a830dfa263b2dccd98c","target":"record","created_at":"2026-05-18T01:05:15Z","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":"1a4e6bef0b6e4455ba38cce9e8aa084b7b55c49a282d6b6e062fbf39940e89f6","cross_cats_sorted":[],"license":"","primary_cat":"physics.gen-ph","submitted_at":"1999-04-09T13:53:43Z","title_canon_sha256":"f100922f39b993addac61e5f48ecf168961911eff5d11dd151219de00775d66b"},"schema_version":"1.0","source":{"id":"physics/9904016","kind":"arxiv","version":1}},"canonical_sha256":"3374dd90da07024d198a62f6e384595d4ca3e04f10ffae9d34a6f7e9aa9e92b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3374dd90da07024d198a62f6e384595d4ca3e04f10ffae9d34a6f7e9aa9e92b2","first_computed_at":"2026-05-18T01:05:15.482333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:15.482333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1HljsmJoVEecUhITP4MBZ6kgGh3oVVg1fG0uco1W7q+9VyUBmpPSNKMeJiBH02liTgwg0YYdjXOkq6osjDigCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:15.482953Z","signed_message":"canonical_sha256_bytes"},"source_id":"physics/9904016","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d3c7a3ec6d129f2328edde8c4a9ed47e0e89bcaa14457a830dfa263b2dccd98c","sha256:23de26aa91d07b67debbde8fe3e7a73792699cf108ad01860d09de0fec4262d4"],"state_sha256":"6fdb8b95da393e075585263b1d77ec37bfd61fce5d3d0ee2c5c7875d1ca57bd3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hx610KHCmcoWR+Bi8oLX7XjTyiau/XiJrsezGXDk5aXvNJPGDajUjkJdspJRopuPxw8KmoU3ocAqPbDC3PY8Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:39:16.736277Z","bundle_sha256":"b6dae85d7438a64fa672284b4a8130376f11acb1311fc348aaecda5ed161fec8"}}