Pith Number

pith:3GVIGZRP

pith:2016:3GVIGZRP6EFAA3IBHGRQDK4GMC

not attested not anchored not stored refs pending

On the correspondence between Koopman mode decomposition, resolvent mode decomposition, and invariant solutions of the Navier-Stokes equations

Ati S. Sharma, Beverley J. McKeon, Igor Mezi\'c

arxiv:1603.08378 v5 · 2016-03-28 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3GVIGZRP6EFAA3IBHGRQDK4GMC}

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	2026-05-18T01:10:24.512769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9aa83662ff10a006d0139a301ab86609b9007e6a01cb93b55ded1d38816fb36

Aliases

arxiv: 1603.08378 · arxiv_version: 1603.08378v5 · doi: 10.48550/arxiv.1603.08378 · pith_short_12: 3GVIGZRP6EFA · pith_short_16: 3GVIGZRP6EFAA3IB · pith_short_8: 3GVIGZRP

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/3GVIGZRP6EFAA3IBHGRQDK4GMC \
  | 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: d9aa83662ff10a006d0139a301ab86609b9007e6a01cb93b55ded1d38816fb36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bdcd49913615ecb148be6bf4b024db4e9d0273037d94c02ef6b04a6def8b7d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2016-03-28T13:34:10Z",
    "title_canon_sha256": "7560c26c56dfca75b9897c6cb5616352f5516be3392ff86eded564c0cc221f48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08378",
    "kind": "arxiv",
    "version": 5
  }
}