Pith Number

pith:K5QPDQVY

pith:2006:K5QPDQVY2Y4J3YSRGQGTY3I3KV

not attested not anchored not stored refs pending

Navier-Stokes equations interacting with a nonlinear elastic solid shell

C.H. Arthur Cheng, Daniel Coutand, Steve Shkoller

arxiv:math/0611670 v1 · 2006-11-22 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K5QPDQVY2Y4J3YSRGQGTY3I3KV}

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	2026-07-04T14:57:41.317887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5760f1c2b8d6389de251340d3c6d1b554e7e519710461ada9c92cd4ec3f4ec5e

Aliases

arxiv: math/0611670 · arxiv_version: math/0611670v1 · doi: 10.48550/arxiv.math/0611670 · pith_short_12: K5QPDQVY2Y4J · pith_short_16: K5QPDQVY2Y4J3YSR · pith_short_8: K5QPDQVY

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/K5QPDQVY2Y4J3YSRGQGTY3I3KV \
  | 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: 5760f1c2b8d6389de251340d3c6d1b554e7e519710461ada9c92cd4ec3f4ec5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101b6c8c93c7c3ca48127bc1968f03b189ba4693c5c68a4ccc61af0a0cb91428",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-11-22T05:34:01Z",
    "title_canon_sha256": "49c1f2bf5ab6ec4a8f00325ebdbe3ee13f2c1515f248188efaf1875e704df9ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611670",
    "kind": "arxiv",
    "version": 1
  }
}