Pith Number

pith:YGNDNDHY

pith:2013:YGNDNDHYUFFFRTRWMDO3JAWZLN

not attested not anchored not stored refs pending

A unified approach to determining forms for the 2D Navier-Stokes equations - the general interpolants case

Ciprian Foias, Edriss S. Titi, Michael S. Jolly, Rostyslav Kravchenko

arxiv:1309.0247 v2 · 2013-09-01 · math.DS · math.AP · nlin.CD · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGNDNDHYUFFFRTRWMDO3JAWZLN}

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	2026-05-18T01:47:50.914958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c19a368cf8a14a58ce3660ddb482d95b490ba3beee33d821cce5499d075268f0

Aliases

arxiv: 1309.0247 · arxiv_version: 1309.0247v2 · doi: 10.48550/arxiv.1309.0247 · pith_short_12: YGNDNDHYUFFF · pith_short_16: YGNDNDHYUFFFRTRW · pith_short_8: YGNDNDHY

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/YGNDNDHYUFFFRTRWMDO3JAWZLN \
  | 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: c19a368cf8a14a58ce3660ddb482d95b490ba3beee33d821cce5499d075268f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d28065f17296301730c85bfacaa957ad887d5e3c80fb61a805aec228dd4016c",
    "cross_cats_sorted": [
      "math.AP",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-09-01T17:51:12Z",
    "title_canon_sha256": "53638dd461129dcc549d1f884cdab27b25aa4ee0f7c80bd89b4cab335b1efe93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0247",
    "kind": "arxiv",
    "version": 2
  }
}