Pith Number

pith:JK77JIT2

pith:2012:JK77JIT2IKHF5N672OLUMJMMF2

not attested not anchored not stored refs pending

Navier-Stokes equations, determining forms, determining modes, inertial manifolds, dissipative dynamical systems

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

arxiv:1208.5134 v1 · 2012-08-25 · math.AP · math.DS · 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{JK77JIT2IKHF5N672OLUMJMMF2}

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	2026-05-18T03:47:00.311837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4abff4a27a428e5eb7dfd39746258c2e88ee6fb47814f827767675c67e940bc4

Aliases

arxiv: 1208.5134 · arxiv_version: 1208.5134v1 · doi: 10.48550/arxiv.1208.5134 · pith_short_12: JK77JIT2IKHF · pith_short_16: JK77JIT2IKHF5N67 · pith_short_8: JK77JIT2

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/JK77JIT2IKHF5N672OLUMJMMF2 \
  | 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: 4abff4a27a428e5eb7dfd39746258c2e88ee6fb47814f827767675c67e940bc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "293c246554dcc5837965d22aff2d440b668409d5f98859d6c827f071a52fb92c",
    "cross_cats_sorted": [
      "math.DS",
      "nlin.CD",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-08-25T13:44:33Z",
    "title_canon_sha256": "5b8ef7f8beda0ef9e3f870c58d47291bf499755fa212e7bd135edb510135d9e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5134",
    "kind": "arxiv",
    "version": 1
  }
}