{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:OMKGKXEABCQEPBGFGXWMP22I4W","short_pith_number":"pith:OMKGKXEA","canonical_record":{"source":{"id":"2508.18273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-31T04:37:52Z","cross_cats_sorted":[],"title_canon_sha256":"cb173d6cfdb581435f39f69463154d6024a2a48e5a2081542e4a444b824474cd","abstract_canon_sha256":"c0779e36f8ce712fc8ecb15525886022cbb273db131d4e4a184f224eb1e15fbb"},"schema_version":"1.0"},"canonical_sha256":"7314655c8008a04784c535ecc7eb48e5a7de278cc224815f14570bf6b7cfe776","source":{"kind":"arxiv","id":"2508.18273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.18273","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"arxiv_version","alias_value":"2508.18273v1","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.18273","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_12","alias_value":"OMKGKXEABCQE","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_16","alias_value":"OMKGKXEABCQEPBGF","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_8","alias_value":"OMKGKXEA","created_at":"2026-07-05T11:59:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:OMKGKXEABCQEPBGFGXWMP22I4W","target":"record","payload":{"canonical_record":{"source":{"id":"2508.18273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-31T04:37:52Z","cross_cats_sorted":[],"title_canon_sha256":"cb173d6cfdb581435f39f69463154d6024a2a48e5a2081542e4a444b824474cd","abstract_canon_sha256":"c0779e36f8ce712fc8ecb15525886022cbb273db131d4e4a184f224eb1e15fbb"},"schema_version":"1.0"},"canonical_sha256":"7314655c8008a04784c535ecc7eb48e5a7de278cc224815f14570bf6b7cfe776","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:59:21.877423Z","signature_b64":"Z3qPCfJ51w+El53WKeXuaV7LcGRehF+/gBUA1bjVLZVvYK33utZX1iG3grJaA9zcu+XnTQ5YRVQ1G1B/bgD4Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7314655c8008a04784c535ecc7eb48e5a7de278cc224815f14570bf6b7cfe776","last_reissued_at":"2026-07-05T11:59:21.876925Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:59:21.876925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2508.18273","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":"2026-07-05T11:59:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PIYChe89Dj3lyKB/q+OUD/sRrRWaMo6hqWAYe5dcUuz3VAJmJCcAMVvMrlIQnVGdBmOwCjv1hR9oHYed1vgdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:07:22.841228Z"},"content_sha256":"a325603bf5865fb175ddc12666790e90637f3432bd47851f2361458eb0236bc0","schema_version":"1.0","event_id":"sha256:a325603bf5865fb175ddc12666790e90637f3432bd47851f2361458eb0236bc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:OMKGKXEABCQEPBGFGXWMP22I4W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Goldbach Conjecture as an Informational Economy Principle: A Heuristic Framework from Computational Physics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Ricardo Adonis Caraccioli Abrego","submitted_at":"2025-07-31T04:37:52Z","abstract_excerpt":"This paper presents a heuristic framework for analyzing the Goldbach Conjecture (GC) from the perspective of the physics of information. Through empirical analysis, we propose an Informational Economy Principle (IEP), which posits that differences between prime numbers tend to be resolved by pairs with a minimal sum with overwhelmingly high probability. We argue that this tendency is analogous to least-action principles in physics and is consistent with the fundamental physical limits of computation. Within this framework, the GC can be interpreted as an informational consistency condition for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.18273","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2508.18273/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T11:59:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TaPZ2g96MiEexCnF+v/t202yzBlNfqzfyNFYtrffhj7/O3xTvVQXAJkZ8BpvVjXvaEH3oIfVRMM6txeuBy+pCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T03:07:22.841834Z"},"content_sha256":"60821e094d58b953e191cb4134cb7289d47011142f7188c4adcf498378e453a0","schema_version":"1.0","event_id":"sha256:60821e094d58b953e191cb4134cb7289d47011142f7188c4adcf498378e453a0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OMKGKXEABCQEPBGFGXWMP22I4W/bundle.json","state_url":"https://pith.science/pith/OMKGKXEABCQEPBGFGXWMP22I4W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OMKGKXEABCQEPBGFGXWMP22I4W/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":"2026-08-12T03:07:22Z","links":{"resolver":"https://pith.science/pith/OMKGKXEABCQEPBGFGXWMP22I4W","bundle":"https://pith.science/pith/OMKGKXEABCQEPBGFGXWMP22I4W/bundle.json","state":"https://pith.science/pith/OMKGKXEABCQEPBGFGXWMP22I4W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OMKGKXEABCQEPBGFGXWMP22I4W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:OMKGKXEABCQEPBGFGXWMP22I4W","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":"c0779e36f8ce712fc8ecb15525886022cbb273db131d4e4a184f224eb1e15fbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-31T04:37:52Z","title_canon_sha256":"cb173d6cfdb581435f39f69463154d6024a2a48e5a2081542e4a444b824474cd"},"schema_version":"1.0","source":{"id":"2508.18273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2508.18273","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"arxiv_version","alias_value":"2508.18273v1","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2508.18273","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_12","alias_value":"OMKGKXEABCQE","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_16","alias_value":"OMKGKXEABCQEPBGF","created_at":"2026-07-05T11:59:21Z"},{"alias_kind":"pith_short_8","alias_value":"OMKGKXEA","created_at":"2026-07-05T11:59:21Z"}],"graph_snapshots":[{"event_id":"sha256:60821e094d58b953e191cb4134cb7289d47011142f7188c4adcf498378e453a0","target":"graph","created_at":"2026-07-05T11:59:21Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2508.18273/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper presents a heuristic framework for analyzing the Goldbach Conjecture (GC) from the perspective of the physics of information. Through empirical analysis, we propose an Informational Economy Principle (IEP), which posits that differences between prime numbers tend to be resolved by pairs with a minimal sum with overwhelmingly high probability. We argue that this tendency is analogous to least-action principles in physics and is consistent with the fundamental physical limits of computation. Within this framework, the GC can be interpreted as an informational consistency condition for","authors_text":"Ricardo Adonis Caraccioli Abrego","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-31T04:37:52Z","title":"The Goldbach Conjecture as an Informational Economy Principle: A Heuristic Framework from Computational Physics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2508.18273","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:a325603bf5865fb175ddc12666790e90637f3432bd47851f2361458eb0236bc0","target":"record","created_at":"2026-07-05T11:59:21Z","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":"c0779e36f8ce712fc8ecb15525886022cbb273db131d4e4a184f224eb1e15fbb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2025-07-31T04:37:52Z","title_canon_sha256":"cb173d6cfdb581435f39f69463154d6024a2a48e5a2081542e4a444b824474cd"},"schema_version":"1.0","source":{"id":"2508.18273","kind":"arxiv","version":1}},"canonical_sha256":"7314655c8008a04784c535ecc7eb48e5a7de278cc224815f14570bf6b7cfe776","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7314655c8008a04784c535ecc7eb48e5a7de278cc224815f14570bf6b7cfe776","first_computed_at":"2026-07-05T11:59:21.876925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:59:21.876925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z3qPCfJ51w+El53WKeXuaV7LcGRehF+/gBUA1bjVLZVvYK33utZX1iG3grJaA9zcu+XnTQ5YRVQ1G1B/bgD4Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:59:21.877423Z","signed_message":"canonical_sha256_bytes"},"source_id":"2508.18273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a325603bf5865fb175ddc12666790e90637f3432bd47851f2361458eb0236bc0","sha256:60821e094d58b953e191cb4134cb7289d47011142f7188c4adcf498378e453a0"],"state_sha256":"9b5cc6c5845fc8f04518f1a42bb36a6e8e0202ac418430d0bb96df9ddbd0e6fd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hB5oLmv7LC5r9DREK7PTcq82J7/UFeeEyUDhEI77ObPLMG4eO+AdTXHuVYiDhu1ews0r7lbABrLv8+oaJAPPAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T03:07:22.847018Z","bundle_sha256":"9bc82026a38aa7493e017807e254c23743dc763861402e04cd3ff3b705b9875c"}}