Pith Number

pith:PNI4DHEA

pith:2014:PNI4DHEAWMGSTIQTZP2FOAIR4S

not attested not anchored not stored refs pending

Global solutions to the homogeneous and inhomogeneous Navier-Stokes equations

Daniel Williams, Tepper L. Gill, Woodford W. Zachary

arxiv:1405.3502 v1 · 2014-05-14 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PNI4DHEAWMGSTIQTZP2FOAIR4S}

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	2026-05-18T02:51:50.660559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b51c19c80b30d29a213cbf4570111e49c50aeb2d982683435b254efe1d723fe

Aliases

arxiv: 1405.3502 · arxiv_version: 1405.3502v1 · doi: 10.48550/arxiv.1405.3502 · pith_short_12: PNI4DHEAWMGS · pith_short_16: PNI4DHEAWMGSTIQT · pith_short_8: PNI4DHEA

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/PNI4DHEAWMGSTIQTZP2FOAIR4S \
  | 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: 7b51c19c80b30d29a213cbf4570111e49c50aeb2d982683435b254efe1d723fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a0a032d28d16fda57ec8b90c5824e45549c4c0dfefc12da5fed7a04e88705a",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-05-14T14:04:50Z",
    "title_canon_sha256": "eec42406f730a5a3a9ba7a6e118872867a52d40d7de230dc587f6226875f48b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3502",
    "kind": "arxiv",
    "version": 1
  }
}