Pith Number

pith:MDLTD6YW

pith:2005:MDLTD6YWUBWVLQTSWZNJHBW2VS

not attested not anchored not stored refs pending

On Incompressible Navier-Stokes Dynamics: A New Approach for Analysis and Computation

(2) Carnegie Mellon University), Jian-Guo Liu (1), Jie Liu (1), Robert L. Pego (2) ((1) University of Maryland College Park

arxiv:math/0503212 v1 · 2005-03-11 · math.AP · cs.NA · 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{MDLTD6YWUBWVLQTSWZNJHBW2VS}

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	2026-06-03T22:06:16.617954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60d731fb16a06d55c272b65a9386daac84b303dc965a7e4d00c65e0d8ed2d8df

Aliases

arxiv: math/0503212 · arxiv_version: math/0503212v1 · doi: 10.48550/arxiv.math/0503212 · pith_short_12: MDLTD6YWUBWV · pith_short_16: MDLTD6YWUBWVLQTS · pith_short_8: MDLTD6YW

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/MDLTD6YWUBWVLQTSWZNJHBW2VS \
  | 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: 60d731fb16a06d55c272b65a9386daac84b303dc965a7e4d00c65e0d8ed2d8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f170e7ddc7cdad53c3a5a07fc33f5364d3cb64856a0cb6cc2b40e1c07d1dd30",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2005-03-11T17:33:42Z",
    "title_canon_sha256": "aa13f005df9ccb87b9096af5fb6c127711ab6214da842abd7ee2b760c04130b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503212",
    "kind": "arxiv",
    "version": 1
  }
}