Pith Number

pith:GSND2WGW

pith:2016:GSND2WGWLKEIL5MJRKTCYMZYDE

not attested not anchored not stored refs pending

Analysis and approximation of a fractional Laplacian-based closure model for turbulent flows and its connection to Richardson pair dispersion

Feifei Xu, Max Gunzburger, Nan Jiang

arxiv:1611.05096 v1 · 2016-11-15 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GSND2WGWLKEIL5MJRKTCYMZYDE}

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	2026-05-18T00:58:27.988447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

349a3d58d65a8885f5898aa62c333819329aa152d6c9a8521c1eccabc2fa7522

Aliases

arxiv: 1611.05096 · arxiv_version: 1611.05096v1 · doi: 10.48550/arxiv.1611.05096 · pith_short_12: GSND2WGWLKEI · pith_short_16: GSND2WGWLKEIL5MJ · pith_short_8: GSND2WGW

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/GSND2WGWLKEIL5MJRKTCYMZYDE \
  | 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: 349a3d58d65a8885f5898aa62c333819329aa152d6c9a8521c1eccabc2fa7522

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3e4c7fbb21ecb3e3a5516082e5ff5692db5e5641beb0f386ab50f9d203fdd10",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-11-15T23:34:20Z",
    "title_canon_sha256": "fc045ed03d3c2871219c0f533b6c827cdcaa54c85a63d957c27d1466dbe3b9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05096",
    "kind": "arxiv",
    "version": 1
  }
}