Pith Number

pith:5IIMUKAN

pith:2015:5IIMUKAN7CN7XPGKBO3VOU4OHM

not attested not anchored not stored refs pending

An adjoint-based approach for finding invariant solutions of Navier-Stokes equations

Mohammad Farazmand

arxiv:1508.06363 v2 · 2015-08-26 · physics.flu-dyn · math.DS · math.NA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5IIMUKAN7CN7XPGKBO3VOU4OHM}

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	2026-05-18T01:17:08.024159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea10ca280df89bfbbcca0bb757538e3b123676ae45bb5c56077295701ee12a1c

Aliases

arxiv: 1508.06363 · arxiv_version: 1508.06363v2 · doi: 10.48550/arxiv.1508.06363 · pith_short_12: 5IIMUKAN7CN7 · pith_short_16: 5IIMUKAN7CN7XPGK · pith_short_8: 5IIMUKAN

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/5IIMUKAN7CN7XPGKBO3VOU4OHM \
  | 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: ea10ca280df89bfbbcca0bb757538e3b123676ae45bb5c56077295701ee12a1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8931c8edb94ecb8e633d5c9d17861429caadefd4a6bb01345ccbd9399b97f662",
    "cross_cats_sorted": [
      "math.DS",
      "math.NA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-08-26T04:41:29Z",
    "title_canon_sha256": "43362981a0f82bdbcc625598f3fb2078d4737f1f0781d45a836da09b683786eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06363",
    "kind": "arxiv",
    "version": 2
  }
}