Pith Number

pith:DKFNUIB7

pith:2026:DKFNUIB7MSZ3BWNMEIXEVRUYVW

not attested not anchored not stored refs pending

CausticFlow: An Efficient Machine Learning Framework Combining Neural Differential Equations and Normalizing Flows for Binary Microlensing Parameter Inference

Haibin Ren, Wei Zhu

arxiv:2607.04955 v1 · 2026-07-06 · astro-ph.IM · astro-ph.EP · astro-ph.GA · astro-ph.SR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKFNUIB7MSZ3BWNMEIXEVRUYVW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-07T02:20:15.136189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a8ada203f64b3b0d9ac222e4ac698ad9a7b8ce079effb21fc2337db2103ccc4

Aliases

arxiv: 2607.04955 · arxiv_version: 2607.04955v1 · doi: 10.48550/arxiv.2607.04955 · pith_short_12: DKFNUIB7MSZ3 · pith_short_16: DKFNUIB7MSZ3BWNM · pith_short_8: DKFNUIB7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DKFNUIB7MSZ3BWNMEIXEVRUYVW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 1a8ada203f64b3b0d9ac222e4ac698ad9a7b8ce079effb21fc2337db2103ccc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4633b7943901984f72206c8712fbde0b687f9a571954c66d8d6157dab0f7bf7",
    "cross_cats_sorted": [
      "astro-ph.EP",
      "astro-ph.GA",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.IM",
    "submitted_at": "2026-07-06T11:39:58Z",
    "title_canon_sha256": "f47a6bf4565d114a306235ca8867641aa37f55a6e9e23a5e219b13d514c56bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.04955",
    "kind": "arxiv",
    "version": 1
  }
}