Pith Number

pith:PRBAZDKC

pith:2026:PRBAZDKCUQMKC4FJNI7WYS2HG7

not attested not anchored not stored refs pending

Data-driven linear analysis of turbulent flows

Benjamin Herrmann, Beverley J. McKeon, Carlos A. Gonzalez, Katherine Cao, S. L. Brunton

arxiv:2606.28569 v1 · 2026-06-26 · physics.flu-dyn · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRBAZDKCUQMKC4FJNI7WYS2HG7}

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	2026-06-30T00:15:19.127661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c420c8d42a418a170a96a3f6c4b4737ebae9500d91a423e9e11f467b52b1873

Aliases

arxiv: 2606.28569 · arxiv_version: 2606.28569v1 · doi: 10.48550/arxiv.2606.28569 · pith_short_12: PRBAZDKCUQMK · pith_short_16: PRBAZDKCUQMKC4FJ · pith_short_8: PRBAZDKC

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/PRBAZDKCUQMKC4FJNI7WYS2HG7 \
  | 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: 7c420c8d42a418a170a96a3f6c4b4737ebae9500d91a423e9e11f467b52b1873

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e0654c4f6b3d3a884d3f8bf02ce10eac3c5bf54190fe1f89fdadac41978bc2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-06-26T19:52:58Z",
    "title_canon_sha256": "b7580614364cfd6455476af89a499293cf53da9196133617f4c5813851da4b05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.28569",
    "kind": "arxiv",
    "version": 1
  }
}