Pith Number

pith:GAKESDSK

pith:2017:GAKESDSK2QEY34ZHQTXGDMVPWW

not attested not anchored not stored refs pending

A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations

Max Gunzburger, Michael Schneier, Nan Jiang

arxiv:1709.06422 v2 · 2017-09-16 · 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{GAKESDSK2QEY34ZHQTXGDMVPWW}

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	2026-05-18T00:34:12.679012Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3014490e4ad4098df32784ee61b2afb5a7071277e2551f808ab1dfb00680d1d6

Aliases

arxiv: 1709.06422 · arxiv_version: 1709.06422v2 · doi: 10.48550/arxiv.1709.06422 · pith_short_12: GAKESDSK2QEY · pith_short_16: GAKESDSK2QEY34ZH · pith_short_8: GAKESDSK

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/GAKESDSK2QEY34ZHQTXGDMVPWW \
  | 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: 3014490e4ad4098df32784ee61b2afb5a7071277e2551f808ab1dfb00680d1d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dbe8805f753ddcbd6ccaac1cd906b3bc9f226bbc2554ce91ca9b8388643fe4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-09-16T03:18:38Z",
    "title_canon_sha256": "1a1d9ce4459ebce19ea10daf4bc0010919199cb1dfd6e0e07c5ac372d659d2a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06422",
    "kind": "arxiv",
    "version": 2
  }
}