Pith Number

pith:IX4XEZCN

pith:2019:IX4XEZCNLRU5B7M35UBMEXMMTA

not attested not anchored not stored refs pending

Long-Time Reynolds Averaging of Reduced Order Models for Fluid Flows: Preliminary Results

Birgul Koc, Luigi C. Berselli, Roger Lewandowski, Traian Iliescu

arxiv:1901.04903 v1 · 2019-01-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IX4XEZCNLRU5B7M35UBMEXMMTA}

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	2026-05-17T23:56:21.330454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45f972644d5c69d0fd9bed02c25d8c983c0e28e08c9ce0a97a633a615969e658

Aliases

arxiv: 1901.04903 · arxiv_version: 1901.04903v1 · doi: 10.48550/arxiv.1901.04903 · pith_short_12: IX4XEZCNLRU5 · pith_short_16: IX4XEZCNLRU5B7M3 · pith_short_8: IX4XEZCN

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/IX4XEZCNLRU5B7M35UBMEXMMTA \
  | 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: 45f972644d5c69d0fd9bed02c25d8c983c0e28e08c9ce0a97a633a615969e658

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bcba5cd7f8e1548f61eef5e96f401941e555b09fca86ea86270d8b5a340532ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-01-15T16:14:39Z",
    "title_canon_sha256": "8615ccc3607b16891f6f104135a4a182c7cffb75d8163d2d13ce94d1d4040e4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04903",
    "kind": "arxiv",
    "version": 1
  }
}