{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:2RAILW7OJDDG3JUJSSZSWLOJGU","short_pith_number":"pith:2RAILW7O","canonical_record":{"source":{"id":"2606.06394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-04T17:01:56Z","cross_cats_sorted":[],"title_canon_sha256":"c16f85ec67ffec50fa0976aa17e8c6fd7cda50b4c08273bb351d3646b4a14330","abstract_canon_sha256":"daf2ae61585ef31b6c91f122b198b914f074426c01ead89230f2305c2b5308a0"},"schema_version":"1.0"},"canonical_sha256":"d44085dbee48c66da68994b32b2dc93536e9e299285e600f0ffcee77cd334ca4","source":{"kind":"arxiv","id":"2606.06394","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06394","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06394v1","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06394","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"2RAILW7OJDDG","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"2RAILW7OJDDG3JUJ","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"2RAILW7O","created_at":"2026-06-05T01:15:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:2RAILW7OJDDG3JUJSSZSWLOJGU","target":"record","payload":{"canonical_record":{"source":{"id":"2606.06394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-04T17:01:56Z","cross_cats_sorted":[],"title_canon_sha256":"c16f85ec67ffec50fa0976aa17e8c6fd7cda50b4c08273bb351d3646b4a14330","abstract_canon_sha256":"daf2ae61585ef31b6c91f122b198b914f074426c01ead89230f2305c2b5308a0"},"schema_version":"1.0"},"canonical_sha256":"d44085dbee48c66da68994b32b2dc93536e9e299285e600f0ffcee77cd334ca4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:44.302695Z","signature_b64":"E9mqSTJBS0Z/2XrTba/fm1e6wA/FgzF8AMfZVqREi6ItVsmuTpjJhuQvzoX3jH2mtDvOpMjLZMxSNw+hb8VoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d44085dbee48c66da68994b32b2dc93536e9e299285e600f0ffcee77cd334ca4","last_reissued_at":"2026-06-05T01:15:44.302117Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:44.302117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.06394","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":"2026-06-05T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KPQ7sIhE9qT2SUIgiTRe2QOPYHa46dFGIfgl5E7zVQ4xTrKrTrjYtTHxhtFQ8Bewd7vTU4sukfvNd6y1NBHJDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:40:14.462719Z"},"content_sha256":"64a2c8a028f4d389fb69c1b4661784bb9d66ffb50256fbd1ddf6d7c1cd5067e2","schema_version":"1.0","event_id":"sha256:64a2c8a028f4d389fb69c1b4661784bb9d66ffb50256fbd1ddf6d7c1cd5067e2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:2RAILW7OJDDG3JUJSSZSWLOJGU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wave-Tide Locking in Thin Stellar Streams: A Phenomenological Mass Spectrometer for an Intermediate Ultralight Axion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Peter H. Tsang","submitted_at":"2026-06-04T17:01:56Z","abstract_excerpt":"We propose a phenomenological mass estimator for an intermediate ultralight axion dark-matter component using thin stellar streams. The central observation is an analytic relation linking three length scales in a fuzzy-dark-matter stream progenitor: the tidal radius of a bound dark core, its gravitational Bohr radius, and the axion de Broglie wavelength evaluated at the stripped-star velocity scale. If the stream width is (w=C_w r_{\\rm t}), with (C_w=O(1)), then [\n\\frac{r_{\\rm t}}{r_{\\rm B}} ===========================\n  \\frac{4\\pi^2}{C_w^2} \\left(\\frac{w}{\\lambda_{\\rm dB}}\\right)^2 . ]\nThus ("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06394","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/2606.06394/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":"2026-06-05T01:15:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F8bUg+vQcPOWEQRZlca3TDQBUaOnKRSot3SjRmZQykEst8r9c+xGUKDYcJlHQ0Nr4MKp/SsZ9Nx/VbYnqJsyAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:40:14.463149Z"},"content_sha256":"8afb6832e7c77aa14821aa039379e4c7bdfa42a343b20e92064ffdf42f84cc01","schema_version":"1.0","event_id":"sha256:8afb6832e7c77aa14821aa039379e4c7bdfa42a343b20e92064ffdf42f84cc01"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/bundle.json","state_url":"https://pith.science/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/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":"2026-06-29T15:40:14Z","links":{"resolver":"https://pith.science/pith/2RAILW7OJDDG3JUJSSZSWLOJGU","bundle":"https://pith.science/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/bundle.json","state":"https://pith.science/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2RAILW7OJDDG3JUJSSZSWLOJGU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2RAILW7OJDDG3JUJSSZSWLOJGU","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":"daf2ae61585ef31b6c91f122b198b914f074426c01ead89230f2305c2b5308a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-04T17:01:56Z","title_canon_sha256":"c16f85ec67ffec50fa0976aa17e8c6fd7cda50b4c08273bb351d3646b4a14330"},"schema_version":"1.0","source":{"id":"2606.06394","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.06394","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"arxiv_version","alias_value":"2606.06394v1","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.06394","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_12","alias_value":"2RAILW7OJDDG","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_16","alias_value":"2RAILW7OJDDG3JUJ","created_at":"2026-06-05T01:15:44Z"},{"alias_kind":"pith_short_8","alias_value":"2RAILW7O","created_at":"2026-06-05T01:15:44Z"}],"graph_snapshots":[{"event_id":"sha256:8afb6832e7c77aa14821aa039379e4c7bdfa42a343b20e92064ffdf42f84cc01","target":"graph","created_at":"2026-06-05T01:15:44Z","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/2606.06394/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a phenomenological mass estimator for an intermediate ultralight axion dark-matter component using thin stellar streams. The central observation is an analytic relation linking three length scales in a fuzzy-dark-matter stream progenitor: the tidal radius of a bound dark core, its gravitational Bohr radius, and the axion de Broglie wavelength evaluated at the stripped-star velocity scale. If the stream width is (w=C_w r_{\\rm t}), with (C_w=O(1)), then [\n\\frac{r_{\\rm t}}{r_{\\rm B}} ===========================\n  \\frac{4\\pi^2}{C_w^2} \\left(\\frac{w}{\\lambda_{\\rm dB}}\\right)^2 . ]\nThus (","authors_text":"Peter H. Tsang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-04T17:01:56Z","title":"Wave-Tide Locking in Thin Stellar Streams: A Phenomenological Mass Spectrometer for an Intermediate Ultralight Axion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.06394","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":"sha256:64a2c8a028f4d389fb69c1b4661784bb9d66ffb50256fbd1ddf6d7c1cd5067e2","target":"record","created_at":"2026-06-05T01:15:44Z","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":"daf2ae61585ef31b6c91f122b198b914f074426c01ead89230f2305c2b5308a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-04T17:01:56Z","title_canon_sha256":"c16f85ec67ffec50fa0976aa17e8c6fd7cda50b4c08273bb351d3646b4a14330"},"schema_version":"1.0","source":{"id":"2606.06394","kind":"arxiv","version":1}},"canonical_sha256":"d44085dbee48c66da68994b32b2dc93536e9e299285e600f0ffcee77cd334ca4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d44085dbee48c66da68994b32b2dc93536e9e299285e600f0ffcee77cd334ca4","first_computed_at":"2026-06-05T01:15:44.302117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:44.302117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E9mqSTJBS0Z/2XrTba/fm1e6wA/FgzF8AMfZVqREi6ItVsmuTpjJhuQvzoX3jH2mtDvOpMjLZMxSNw+hb8VoCQ==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:44.302695Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.06394","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64a2c8a028f4d389fb69c1b4661784bb9d66ffb50256fbd1ddf6d7c1cd5067e2","sha256:8afb6832e7c77aa14821aa039379e4c7bdfa42a343b20e92064ffdf42f84cc01"],"state_sha256":"e73ae8e743468918cbf3a3560b3a64a493b7fd2d29fa6a835abf984886d96966"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"luGQf1IcvtyDYfJjmou9ELw1GDk9iT6azQAaLqCTnsxErSnRoYdna3HnQzc68ckFaBA7aYGFJx8DMEjNZIH0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T15:40:14.465053Z","bundle_sha256":"b80416c8fe6816364117dabc2799aa48741a40b085579aa5901a59ebd3f0e7f9"}}