Pith Number

pith:XWLHPDXV

pith:2015:XWLHPDXVH7UM5IZQ5Z2UNB2A43

not attested not anchored not stored refs pending

Symmetry Breaking and Uniqueness for the Incompressible Navier-Stokes Equations

Edward C. Waymire, Enrique Thomann, Nicholas Michalowski, Radu Dascaliuc

arxiv:1502.06939 v1 · 2015-02-24 · math.AP · math-ph · math.MP · math.PR · 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{XWLHPDXVH7UM5IZQ5Z2UNB2A43}

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	2026-05-18T01:40:54.718021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd96778ef53fe8cea330ee75468740e6c892ce79e7e645151f10ac99290628d5

Aliases

arxiv: 1502.06939 · arxiv_version: 1502.06939v1 · doi: 10.48550/arxiv.1502.06939 · pith_short_12: XWLHPDXVH7UM · pith_short_16: XWLHPDXVH7UM5IZQ · pith_short_8: XWLHPDXV

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/XWLHPDXVH7UM5IZQ5Z2UNB2A43 \
  | 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: bd96778ef53fe8cea330ee75468740e6c892ce79e7e645151f10ac99290628d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef42366611a4a3adb274a77c8b118d48bf1caf08aef501374ff6d3050a496bc",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-24T20:23:27Z",
    "title_canon_sha256": "2686a59bfcdbd8cde3192c85eaee5208cb5c71792a2e2ad204c25f01eecd4688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06939",
    "kind": "arxiv",
    "version": 1
  }
}