{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:R6BLTWPUXD3XYSTQZ5YRE2Y7DK","short_pith_number":"pith:R6BLTWPU","canonical_record":{"source":{"id":"1905.11611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-05-28T05:02:32Z","cross_cats_sorted":[],"title_canon_sha256":"f037bb68cfd12fafa178a753c8f51504d4bf7ad4770fb02395a5a7bbc986fbfe","abstract_canon_sha256":"9da1ebbd8093a1a12cfa4c3e7c561159fbd7d9697f8e0a421b3347e9e06a199c"},"schema_version":"1.0"},"canonical_sha256":"8f82b9d9f4b8f77c4a70cf71126b1f1a9c16fc8f2afbed4dcdf49102fe06b397","source":{"kind":"arxiv","id":"1905.11611","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11611","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11611v1","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11611","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"R6BLTWPUXD3X","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R6BLTWPUXD3XYSTQ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R6BLTWPU","created_at":"2026-05-18T12:33:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:R6BLTWPUXD3XYSTQZ5YRE2Y7DK","target":"record","payload":{"canonical_record":{"source":{"id":"1905.11611","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-05-28T05:02:32Z","cross_cats_sorted":[],"title_canon_sha256":"f037bb68cfd12fafa178a753c8f51504d4bf7ad4770fb02395a5a7bbc986fbfe","abstract_canon_sha256":"9da1ebbd8093a1a12cfa4c3e7c561159fbd7d9697f8e0a421b3347e9e06a199c"},"schema_version":"1.0"},"canonical_sha256":"8f82b9d9f4b8f77c4a70cf71126b1f1a9c16fc8f2afbed4dcdf49102fe06b397","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:44:52.847535Z","signature_b64":"AZCG0HWTM8qmX7tM1TBRvMaUMx5LNYkfatk7+4l9/2oH4m0LtTyeC7eETX/A9YWuG97DrFilE3LtQ8V6eXtXDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f82b9d9f4b8f77c4a70cf71126b1f1a9c16fc8f2afbed4dcdf49102fe06b397","last_reissued_at":"2026-05-17T23:44:52.846799Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:44:52.846799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.11611","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":"2026-05-17T23:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nl1M67ZShW8NfHrX/i4wA9n2RTjxHTbExW2QA0WRrxX6e+cs66V9jNavZJ9EcZ5ZXTkqfcjPDw5bz1EIu40OAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:15:03.459290Z"},"content_sha256":"a47aced3432ed1f34fa791489a1bda5695c8fbc6731b8c0afb466d46821250a8","schema_version":"1.0","event_id":"sha256:a47aced3432ed1f34fa791489a1bda5695c8fbc6731b8c0afb466d46821250a8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:R6BLTWPUXD3XYSTQZ5YRE2Y7DK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bose's derivation, the crucial link to quantum mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.hist-ph","authors_text":"Urjit A. Yajnik","submitted_at":"2019-05-28T05:02:32Z","abstract_excerpt":"In this brief note I address the question not frequently asked, namely, why did it take two decades between Einstein's first proposal of photons and derivation of the full Planck formula from first principles of Statistical Mechanics, albeit with a fundamental new approach to counting of states. Secondly, why did it fall to an independent inquirer, S. N. Bose, in far away Dacca to arrive at the correct derivation of this formula, arguably a most crucial one of the first half of the twentieth century? Reasonable hypotheses are proposed for answers to both. I also argue that the timing of Bose's"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11611","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":"2026-05-17T23:44:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DB6FBouD2Q/+yq+09Wy+7NBYHM9IOp5wrg8FZu9aqp2FqGGOjVyDnBXsaUOkhJ76gtI1eQJD130W5LD6ROgtAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T10:15:03.459663Z"},"content_sha256":"37e7262877b96a1bcb9aac6223419e0670c678e73eb9974d8e111f433d435dc0","schema_version":"1.0","event_id":"sha256:37e7262877b96a1bcb9aac6223419e0670c678e73eb9974d8e111f433d435dc0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/bundle.json","state_url":"https://pith.science/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/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":"2026-06-12T10:15:03Z","links":{"resolver":"https://pith.science/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK","bundle":"https://pith.science/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/bundle.json","state":"https://pith.science/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R6BLTWPUXD3XYSTQZ5YRE2Y7DK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:R6BLTWPUXD3XYSTQZ5YRE2Y7DK","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":"9da1ebbd8093a1a12cfa4c3e7c561159fbd7d9697f8e0a421b3347e9e06a199c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-05-28T05:02:32Z","title_canon_sha256":"f037bb68cfd12fafa178a753c8f51504d4bf7ad4770fb02395a5a7bbc986fbfe"},"schema_version":"1.0","source":{"id":"1905.11611","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.11611","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.11611v1","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.11611","created_at":"2026-05-17T23:44:52Z"},{"alias_kind":"pith_short_12","alias_value":"R6BLTWPUXD3X","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_16","alias_value":"R6BLTWPUXD3XYSTQ","created_at":"2026-05-18T12:33:27Z"},{"alias_kind":"pith_short_8","alias_value":"R6BLTWPU","created_at":"2026-05-18T12:33:27Z"}],"graph_snapshots":[{"event_id":"sha256:37e7262877b96a1bcb9aac6223419e0670c678e73eb9974d8e111f433d435dc0","target":"graph","created_at":"2026-05-17T23:44:52Z","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 this brief note I address the question not frequently asked, namely, why did it take two decades between Einstein's first proposal of photons and derivation of the full Planck formula from first principles of Statistical Mechanics, albeit with a fundamental new approach to counting of states. Secondly, why did it fall to an independent inquirer, S. N. Bose, in far away Dacca to arrive at the correct derivation of this formula, arguably a most crucial one of the first half of the twentieth century? Reasonable hypotheses are proposed for answers to both. I also argue that the timing of Bose's","authors_text":"Urjit A. Yajnik","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-05-28T05:02:32Z","title":"Bose's derivation, the crucial link to quantum mechanics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.11611","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:a47aced3432ed1f34fa791489a1bda5695c8fbc6731b8c0afb466d46821250a8","target":"record","created_at":"2026-05-17T23:44:52Z","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":"9da1ebbd8093a1a12cfa4c3e7c561159fbd7d9697f8e0a421b3347e9e06a199c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.hist-ph","submitted_at":"2019-05-28T05:02:32Z","title_canon_sha256":"f037bb68cfd12fafa178a753c8f51504d4bf7ad4770fb02395a5a7bbc986fbfe"},"schema_version":"1.0","source":{"id":"1905.11611","kind":"arxiv","version":1}},"canonical_sha256":"8f82b9d9f4b8f77c4a70cf71126b1f1a9c16fc8f2afbed4dcdf49102fe06b397","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f82b9d9f4b8f77c4a70cf71126b1f1a9c16fc8f2afbed4dcdf49102fe06b397","first_computed_at":"2026-05-17T23:44:52.846799Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:44:52.846799Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AZCG0HWTM8qmX7tM1TBRvMaUMx5LNYkfatk7+4l9/2oH4m0LtTyeC7eETX/A9YWuG97DrFilE3LtQ8V6eXtXDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:44:52.847535Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.11611","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a47aced3432ed1f34fa791489a1bda5695c8fbc6731b8c0afb466d46821250a8","sha256:37e7262877b96a1bcb9aac6223419e0670c678e73eb9974d8e111f433d435dc0"],"state_sha256":"e156aa4f1332feccca5db7be10553d0e59558ae2b568c7c655271ab3f61ac35e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"on9XjDxAWIqMLmViNpJjidBtBcsl0YRTrblgjf9LDl2VW8+NpxFpwHSW7Od0uu+VHzoqaHAtjnZkQKOnkjKWBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T10:15:03.461659Z","bundle_sha256":"357d49a5b3d56b2e0d41dfb37f3ce3538c316b10274720527595f1120293fe6e"}}