Pith Number

pith:B7YFOINS

pith:2012:B7YFOINS5BVBFGEXBSUP2VEPHI

not attested not anchored not stored refs pending

Variational Multiscale Proper Orthogonal Decomposition: Navier-Stokes Equations

Traian Iliescu, Zhu Wang

arxiv:1210.7389 v2 · 2012-10-28 · 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{B7YFOINS5BVBFGEXBSUP2VEPHI}

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	2026-05-18T03:22:08.003372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff05721b2e86a1298970ca8fd548f3a00433a94451eb4a003e195c968996326

Aliases

arxiv: 1210.7389 · arxiv_version: 1210.7389v2 · doi: 10.48550/arxiv.1210.7389 · pith_short_12: B7YFOINS5BVB · pith_short_16: B7YFOINS5BVBFGEX · pith_short_8: B7YFOINS

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/B7YFOINS5BVBFGEXBSUP2VEPHI \
  | 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: 0ff05721b2e86a1298970ca8fd548f3a00433a94451eb4a003e195c968996326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dae596c8547db7c1efb421ee803a4ccc426bda80499dbd05cff5dbb6985e7099",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-10-28T01:49:14Z",
    "title_canon_sha256": "d38e5a1396e179ece43fadb553104617c7e6c2c505922c5cbc715aec81a51892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7389",
    "kind": "arxiv",
    "version": 2
  }
}