{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:M2RIOO5VC56RR3JWNSBTNTTYQM","short_pith_number":"pith:M2RIOO5V","canonical_record":{"source":{"id":"2607.24977","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-27T18:29:54Z","cross_cats_sorted":[],"title_canon_sha256":"b3683bde6039f720020d41f2acfdde98ae8e909ffb7f78d75837cce329393f39","abstract_canon_sha256":"4b4a079c0aa1b85bf5874f3472bb41f3242c62907e32cf8b949380e50223ee90"},"schema_version":"1.0"},"canonical_sha256":"66a2873bb5177d18ed366c8336ce78833fdb5e81e2470e13a4e376a38e920e9b","source":{"kind":"arxiv","id":"2607.24977","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24977","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24977v1","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24977","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"M2RIOO5VC56R","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_16","alias_value":"M2RIOO5VC56RR3JW","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_8","alias_value":"M2RIOO5V","created_at":"2026-07-29T00:24:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:M2RIOO5VC56RR3JWNSBTNTTYQM","target":"record","payload":{"canonical_record":{"source":{"id":"2607.24977","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-27T18:29:54Z","cross_cats_sorted":[],"title_canon_sha256":"b3683bde6039f720020d41f2acfdde98ae8e909ffb7f78d75837cce329393f39","abstract_canon_sha256":"4b4a079c0aa1b85bf5874f3472bb41f3242c62907e32cf8b949380e50223ee90"},"schema_version":"1.0"},"canonical_sha256":"66a2873bb5177d18ed366c8336ce78833fdb5e81e2470e13a4e376a38e920e9b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T00:24:56.025749Z","signature_b64":"JjvfhYUqz1vcaB6zgoUJS6wjzZIo7+F8S1otK0L5EEWy+CGM8Hp5seGWNW+3rjJlKZCSUtxTbFiSKXnrGh6xBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66a2873bb5177d18ed366c8336ce78833fdb5e81e2470e13a4e376a38e920e9b","last_reissued_at":"2026-07-29T00:24:56.024830Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T00:24:56.024830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2607.24977","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":"2026-07-29T00:24:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ur28jOje1Dz0nTUCcT3/RLzYEIWli9/MNi42E+IpWuzGULoDS2MR/MEIbozJtNgjNRTeFkjMlL/Hax0IBLpiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:36:56.135223Z"},"content_sha256":"3c739b15b577031da51a748064a7dc04f25aad4bf737c03b0c309086a898d166","schema_version":"1.0","event_id":"sha256:3c739b15b577031da51a748064a7dc04f25aad4bf737c03b0c309086a898d166"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:M2RIOO5VC56RR3JWNSBTNTTYQM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The $\\sigma_s^2-\\mathcal{M}$ relation in the multi-phase ISM: Exploring the density PDF with the Cloud Factory simulations","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Mairi Nonhebel, Ralf S. Klessen, Rowan J. Smith","submitted_at":"2026-07-27T18:29:54Z","abstract_excerpt":"The density probability distribution (PDF) of molecular clouds is a crucial component of analytical theories of star formation. In idealised simulations of isothermal turbulence, the width of the density PDF, $\\sigma_s^2$, is dependent on the sonic Mach number of the medium, $\\mathcal{M}$. The $\\sigma_s^2-\\mathcal{M}$ relation is widely used to connect cloud-scale turbulence to the density PDF, and further to star formation activity, yet its validity within individual phases of the multi-phase interstellar medium (ISM) remains untested. In this study, we evaluate whether the $\\sigma_s^2-\\mathc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24977","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/2607.24977/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":"2026-07-29T00:24:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B25HTE2193Ij1vyiwZYK8iK4icaVO7+ulTiHELPRjNhUzermXpQyTCkLZAvNKsFEmD06/VC2W2tlTpY8jg6IBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T17:36:56.135715Z"},"content_sha256":"f9be3153283d545748275865f3398c6d9771cd5f57d63ccd2a5d3e06fdffb839","schema_version":"1.0","event_id":"sha256:f9be3153283d545748275865f3398c6d9771cd5f57d63ccd2a5d3e06fdffb839"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/bundle.json","state_url":"https://pith.science/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/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":"2026-07-31T17:36:56Z","links":{"resolver":"https://pith.science/pith/M2RIOO5VC56RR3JWNSBTNTTYQM","bundle":"https://pith.science/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/bundle.json","state":"https://pith.science/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/M2RIOO5VC56RR3JWNSBTNTTYQM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:M2RIOO5VC56RR3JWNSBTNTTYQM","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":"4b4a079c0aa1b85bf5874f3472bb41f3242c62907e32cf8b949380e50223ee90","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-27T18:29:54Z","title_canon_sha256":"b3683bde6039f720020d41f2acfdde98ae8e909ffb7f78d75837cce329393f39"},"schema_version":"1.0","source":{"id":"2607.24977","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.24977","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"2607.24977v1","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.24977","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"M2RIOO5VC56R","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_16","alias_value":"M2RIOO5VC56RR3JW","created_at":"2026-07-29T00:24:56Z"},{"alias_kind":"pith_short_8","alias_value":"M2RIOO5V","created_at":"2026-07-29T00:24:56Z"}],"graph_snapshots":[{"event_id":"sha256:f9be3153283d545748275865f3398c6d9771cd5f57d63ccd2a5d3e06fdffb839","target":"graph","created_at":"2026-07-29T00:24:56Z","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/2607.24977/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The density probability distribution (PDF) of molecular clouds is a crucial component of analytical theories of star formation. In idealised simulations of isothermal turbulence, the width of the density PDF, $\\sigma_s^2$, is dependent on the sonic Mach number of the medium, $\\mathcal{M}$. The $\\sigma_s^2-\\mathcal{M}$ relation is widely used to connect cloud-scale turbulence to the density PDF, and further to star formation activity, yet its validity within individual phases of the multi-phase interstellar medium (ISM) remains untested. In this study, we evaluate whether the $\\sigma_s^2-\\mathc","authors_text":"Mairi Nonhebel, Ralf S. Klessen, Rowan J. Smith","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-27T18:29:54Z","title":"The $\\sigma_s^2-\\mathcal{M}$ relation in the multi-phase ISM: Exploring the density PDF with the Cloud Factory simulations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.24977","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":"sha256:3c739b15b577031da51a748064a7dc04f25aad4bf737c03b0c309086a898d166","target":"record","created_at":"2026-07-29T00:24:56Z","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":"4b4a079c0aa1b85bf5874f3472bb41f3242c62907e32cf8b949380e50223ee90","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-07-27T18:29:54Z","title_canon_sha256":"b3683bde6039f720020d41f2acfdde98ae8e909ffb7f78d75837cce329393f39"},"schema_version":"1.0","source":{"id":"2607.24977","kind":"arxiv","version":1}},"canonical_sha256":"66a2873bb5177d18ed366c8336ce78833fdb5e81e2470e13a4e376a38e920e9b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"66a2873bb5177d18ed366c8336ce78833fdb5e81e2470e13a4e376a38e920e9b","first_computed_at":"2026-07-29T00:24:56.024830Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-29T00:24:56.024830Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JjvfhYUqz1vcaB6zgoUJS6wjzZIo7+F8S1otK0L5EEWy+CGM8Hp5seGWNW+3rjJlKZCSUtxTbFiSKXnrGh6xBg==","signature_status":"signed_v1","signed_at":"2026-07-29T00:24:56.025749Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.24977","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c739b15b577031da51a748064a7dc04f25aad4bf737c03b0c309086a898d166","sha256:f9be3153283d545748275865f3398c6d9771cd5f57d63ccd2a5d3e06fdffb839"],"state_sha256":"bc4faf51db00e95ef78866d30c8d8f02927c9d152f5639afdc8347a98b625e27"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L43uEDPO5zp/kwDMt9Sie+BtdNbPohQA1d/qShirvMXL4kpd+kqQdqtT8ji7nJKmgIxReLd6hWOBYsIfHhMFDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T17:36:56.140501Z","bundle_sha256":"564d35f86fe5ceb3d616648236c3c59905a5243efc11b25a2a2392b8ee981930"}}