{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NKHNTBLU55NTI5HX7SDDLRYXZB","short_pith_number":"pith:NKHNTBLU","canonical_record":{"source":{"id":"1111.6865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-29T15:59:38Z","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"title_canon_sha256":"0a72d944e2067ac7040814e65d3986e11c2988c146110aa3b9b9e4ac961771f3","abstract_canon_sha256":"58a13166bc661cfc11e9f32af0ec9858b2c040aac862fd027de723c5adbafc27"},"schema_version":"1.0"},"canonical_sha256":"6a8ed98574ef5b3474f7fc8635c717c84d313c99f1984f9bacdc9dd1ca708372","source":{"kind":"arxiv","id":"1111.6865","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6865","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6865v2","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6865","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"NKHNTBLU55NT","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NKHNTBLU55NTI5HX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NKHNTBLU","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NKHNTBLU55NTI5HX7SDDLRYXZB","target":"record","payload":{"canonical_record":{"source":{"id":"1111.6865","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-29T15:59:38Z","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"title_canon_sha256":"0a72d944e2067ac7040814e65d3986e11c2988c146110aa3b9b9e4ac961771f3","abstract_canon_sha256":"58a13166bc661cfc11e9f32af0ec9858b2c040aac862fd027de723c5adbafc27"},"schema_version":"1.0"},"canonical_sha256":"6a8ed98574ef5b3474f7fc8635c717c84d313c99f1984f9bacdc9dd1ca708372","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:58:13.801166Z","signature_b64":"ire6MEIdCFI11Z8mZJlQUUzm8umtziN25rMJtunUj6DkmjOYKPGEpALOSU3t5uC9qnd8r6Db47GKhkZlcBReBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a8ed98574ef5b3474f7fc8635c717c84d313c99f1984f9bacdc9dd1ca708372","last_reissued_at":"2026-05-18T03:58:13.800654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:58:13.800654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.6865","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fFl1Gky0DQOdxP3jaZkEEQZRPSDeAxaNxNHTF3a8UMn/sz17oxL5nSa205NPYav8dO5KdCK99+C3EMQFpqoVBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:35:01.640293Z"},"content_sha256":"6c769e8da27d42d9772213656f7adc37fb566093f98a34bc5a1695c48b9c216a","schema_version":"1.0","event_id":"sha256:6c769e8da27d42d9772213656f7adc37fb566093f98a34bc5a1695c48b9c216a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NKHNTBLU55NTI5HX7SDDLRYXZB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling relations between numerical simulations and physical systems they represent","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","astro-ph.HE"],"primary_cat":"astro-ph.IM","authors_text":"Jonathan Granot","submitted_at":"2011-11-29T15:59:38Z","abstract_excerpt":"The dynamical equations describing the evolution of a physical system generally have a freedom in the choice of units, where different choices correspond to different physical systems that are described by the same equations. Since there are three basic physical units, of mass, length and time, there are up to three free parameters in such a rescaling of the units, $N_f \\leq 3$. In Newtonian hydrodynamics, e.g., there are indeed usually three free parameters, $N_f = 3$. If, however, the dynamical equations contain a universal dimensional constant, such as the speed of light in vacuum $c$ or th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6865","kind":"arxiv","version":2},"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":"2026-05-18T03:58:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1rOJH99ZGq8Skc3j4Y9gSfjwfrdkgwVN8vHOgFdvScsc4TttlojPnj0OpnyjU5krKbmjoxtMiAVmj0DuPf2/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T06:35:01.640660Z"},"content_sha256":"70d0f6d0efddf146751931ac737001ce5d0c0fc703da8f1611035616fe020d22","schema_version":"1.0","event_id":"sha256:70d0f6d0efddf146751931ac737001ce5d0c0fc703da8f1611035616fe020d22"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/bundle.json","state_url":"https://pith.science/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/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":"2026-07-04T06:35:01Z","links":{"resolver":"https://pith.science/pith/NKHNTBLU55NTI5HX7SDDLRYXZB","bundle":"https://pith.science/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/bundle.json","state":"https://pith.science/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NKHNTBLU55NTI5HX7SDDLRYXZB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NKHNTBLU55NTI5HX7SDDLRYXZB","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":"58a13166bc661cfc11e9f32af0ec9858b2c040aac862fd027de723c5adbafc27","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-29T15:59:38Z","title_canon_sha256":"0a72d944e2067ac7040814e65d3986e11c2988c146110aa3b9b9e4ac961771f3"},"schema_version":"1.0","source":{"id":"1111.6865","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.6865","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"arxiv_version","alias_value":"1111.6865v2","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.6865","created_at":"2026-05-18T03:58:13Z"},{"alias_kind":"pith_short_12","alias_value":"NKHNTBLU55NT","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NKHNTBLU55NTI5HX","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NKHNTBLU","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:70d0f6d0efddf146751931ac737001ce5d0c0fc703da8f1611035616fe020d22","target":"graph","created_at":"2026-05-18T03:58:13Z","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":"The dynamical equations describing the evolution of a physical system generally have a freedom in the choice of units, where different choices correspond to different physical systems that are described by the same equations. Since there are three basic physical units, of mass, length and time, there are up to three free parameters in such a rescaling of the units, $N_f \\leq 3$. In Newtonian hydrodynamics, e.g., there are indeed usually three free parameters, $N_f = 3$. If, however, the dynamical equations contain a universal dimensional constant, such as the speed of light in vacuum $c$ or th","authors_text":"Jonathan Granot","cross_cats":["astro-ph.CO","astro-ph.HE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-29T15:59:38Z","title":"Scaling relations between numerical simulations and physical systems they represent"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.6865","kind":"arxiv","version":2},"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":"sha256:6c769e8da27d42d9772213656f7adc37fb566093f98a34bc5a1695c48b9c216a","target":"record","created_at":"2026-05-18T03:58:13Z","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":"58a13166bc661cfc11e9f32af0ec9858b2c040aac862fd027de723c5adbafc27","cross_cats_sorted":["astro-ph.CO","astro-ph.HE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.IM","submitted_at":"2011-11-29T15:59:38Z","title_canon_sha256":"0a72d944e2067ac7040814e65d3986e11c2988c146110aa3b9b9e4ac961771f3"},"schema_version":"1.0","source":{"id":"1111.6865","kind":"arxiv","version":2}},"canonical_sha256":"6a8ed98574ef5b3474f7fc8635c717c84d313c99f1984f9bacdc9dd1ca708372","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6a8ed98574ef5b3474f7fc8635c717c84d313c99f1984f9bacdc9dd1ca708372","first_computed_at":"2026-05-18T03:58:13.800654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:58:13.800654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ire6MEIdCFI11Z8mZJlQUUzm8umtziN25rMJtunUj6DkmjOYKPGEpALOSU3t5uC9qnd8r6Db47GKhkZlcBReBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:58:13.801166Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.6865","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c769e8da27d42d9772213656f7adc37fb566093f98a34bc5a1695c48b9c216a","sha256:70d0f6d0efddf146751931ac737001ce5d0c0fc703da8f1611035616fe020d22"],"state_sha256":"00ca7e5a645fbecd37d84b05734db79cc23f854ef0b99e4ae38222b7448ea4b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f7pTasEDTmQOJmVN/u2pxQ7iJxJHP7/aS1bjIxq9mn2N1codnteymCYIDZWpB61CLUWLzcXrg2O34+2E2ihEDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T06:35:01.642700Z","bundle_sha256":"8b1548e756d1b616c0ce7a5e1ae6c6a373b61c44e7dd57864a21ca49cd33def4"}}