{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SWYQ4TYVUOMVH7PLUOFMWCCNZ3","short_pith_number":"pith:SWYQ4TYV","canonical_record":{"source":{"id":"1612.00340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-01T16:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"62cc299f39df0be9e6f563d5c64798f5a2c71451cbd1261ef9d6863c567c1c9b","abstract_canon_sha256":"4ffa1b4874f6ca20ec7a0bc7b8ab62a70e6a4e6f0c1477db8475442746445739"},"schema_version":"1.0"},"canonical_sha256":"95b10e4f15a39953fdeba38acb084dceeb9c48b098a22e60a2f8b6bd723f5aba","source":{"kind":"arxiv","id":"1612.00340","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00340","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00340v1","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00340","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"SWYQ4TYVUOMV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SWYQ4TYVUOMVH7PL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SWYQ4TYV","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SWYQ4TYVUOMVH7PLUOFMWCCNZ3","target":"record","payload":{"canonical_record":{"source":{"id":"1612.00340","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-01T16:30:41Z","cross_cats_sorted":[],"title_canon_sha256":"62cc299f39df0be9e6f563d5c64798f5a2c71451cbd1261ef9d6863c567c1c9b","abstract_canon_sha256":"4ffa1b4874f6ca20ec7a0bc7b8ab62a70e6a4e6f0c1477db8475442746445739"},"schema_version":"1.0"},"canonical_sha256":"95b10e4f15a39953fdeba38acb084dceeb9c48b098a22e60a2f8b6bd723f5aba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:37.459530Z","signature_b64":"ej68H2lE2ZAeT5MEXlLY7lh4uhsCY8Mgu+GrSikOwNs7feEN42hAKTq8wULoH3n+bztFB4rSMyKUqgnbXxOACw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"95b10e4f15a39953fdeba38acb084dceeb9c48b098a22e60a2f8b6bd723f5aba","last_reissued_at":"2026-05-18T00:52:37.459075Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:37.459075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.00340","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":"2026-05-18T00:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"97/wqV9QhHn7/SBuMlF8JEswJtDduBEKSyyMACf4Pmsge9UgxrCbPMGzIhRrC/eqT97jpIs35Hm8L5cR6DhDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:21:04.053277Z"},"content_sha256":"ef9e3c3b89948b06eb3ac901d5356e3033689420612e4af899a0e760a3a6154d","schema_version":"1.0","event_id":"sha256:ef9e3c3b89948b06eb3ac901d5356e3033689420612e4af899a0e760a3a6154d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SWYQ4TYVUOMVH7PLUOFMWCCNZ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical link between the structure of molecular clouds and their density distribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Ralf S. Klessen, Sava Donkov, Todor V. Veltchev","submitted_at":"2016-12-01T16:30:41Z","abstract_excerpt":"We introduce the concept of a class of equivalence of molecular clouds represented by an abstract spherically symmetric, isotropic object. This object is described by use of abstract scales in respect to a given mass density distribution. Mass and average density are ascribed to each scale and thus are linked to the density distribution: a power-law type and an arbitrary continuous one. In the latter case, we derive a differential relationship between the mean density at a given scale and the structure parameter which defines the mass-density relationship. The two-dimensional (2D) projection o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00340","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":"2026-05-18T00:52:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yGfATArMP6c1/RFx9cCYj7YToKQ/B1DUFD6x72dus3nE4CLU9kU73OLsCJU8gZczEFUtMqUNPJ1dcEk19i56Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T23:21:04.054038Z"},"content_sha256":"ae6f7c9e1f79b847e2b1ea430aa7e49736ad71df85190ac6fb931e0f71a6d52c","schema_version":"1.0","event_id":"sha256:ae6f7c9e1f79b847e2b1ea430aa7e49736ad71df85190ac6fb931e0f71a6d52c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/bundle.json","state_url":"https://pith.science/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/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":"2026-05-31T23:21:04Z","links":{"resolver":"https://pith.science/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3","bundle":"https://pith.science/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/bundle.json","state":"https://pith.science/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SWYQ4TYVUOMVH7PLUOFMWCCNZ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SWYQ4TYVUOMVH7PLUOFMWCCNZ3","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":"4ffa1b4874f6ca20ec7a0bc7b8ab62a70e6a4e6f0c1477db8475442746445739","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-01T16:30:41Z","title_canon_sha256":"62cc299f39df0be9e6f563d5c64798f5a2c71451cbd1261ef9d6863c567c1c9b"},"schema_version":"1.0","source":{"id":"1612.00340","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.00340","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"1612.00340v1","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.00340","created_at":"2026-05-18T00:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"SWYQ4TYVUOMV","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SWYQ4TYVUOMVH7PL","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SWYQ4TYV","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:ae6f7c9e1f79b847e2b1ea430aa7e49736ad71df85190ac6fb931e0f71a6d52c","target":"graph","created_at":"2026-05-18T00:52:37Z","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":"We introduce the concept of a class of equivalence of molecular clouds represented by an abstract spherically symmetric, isotropic object. This object is described by use of abstract scales in respect to a given mass density distribution. Mass and average density are ascribed to each scale and thus are linked to the density distribution: a power-law type and an arbitrary continuous one. In the latter case, we derive a differential relationship between the mean density at a given scale and the structure parameter which defines the mass-density relationship. The two-dimensional (2D) projection o","authors_text":"Ralf S. Klessen, Sava Donkov, Todor V. Veltchev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-01T16:30:41Z","title":"Statistical link between the structure of molecular clouds and their density distribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.00340","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:ef9e3c3b89948b06eb3ac901d5356e3033689420612e4af899a0e760a3a6154d","target":"record","created_at":"2026-05-18T00:52:37Z","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":"4ffa1b4874f6ca20ec7a0bc7b8ab62a70e6a4e6f0c1477db8475442746445739","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-01T16:30:41Z","title_canon_sha256":"62cc299f39df0be9e6f563d5c64798f5a2c71451cbd1261ef9d6863c567c1c9b"},"schema_version":"1.0","source":{"id":"1612.00340","kind":"arxiv","version":1}},"canonical_sha256":"95b10e4f15a39953fdeba38acb084dceeb9c48b098a22e60a2f8b6bd723f5aba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95b10e4f15a39953fdeba38acb084dceeb9c48b098a22e60a2f8b6bd723f5aba","first_computed_at":"2026-05-18T00:52:37.459075Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:37.459075Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ej68H2lE2ZAeT5MEXlLY7lh4uhsCY8Mgu+GrSikOwNs7feEN42hAKTq8wULoH3n+bztFB4rSMyKUqgnbXxOACw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:37.459530Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.00340","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef9e3c3b89948b06eb3ac901d5356e3033689420612e4af899a0e760a3a6154d","sha256:ae6f7c9e1f79b847e2b1ea430aa7e49736ad71df85190ac6fb931e0f71a6d52c"],"state_sha256":"7dd34e86999624769a895c690a70f6310535cf1eed39a8bc6bda6a039854bf73"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SutvZT/0AIbGYkJ8nChOmwoD/Fn/gDEewOgu7vMOqOQ9S3dEFX5umKX1WIJswfuVjaZxHNuD+u3v08amfj+XBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T23:21:04.058102Z","bundle_sha256":"61fd443aac9c6e0b4a9716ce05fbf6df54c9cf5cea04b7d1098de8a83a56c60d"}}