Pith Number

pith:RYU3YFDG

pith:2017:RYU3YFDG26BHRXZHFTMA3NYCVJ

not attested not anchored not stored refs pending

Nonuniqueness of weak solutions to the Navier-Stokes equation

Tristan Buckmaster, Vlad Vicol

arxiv:1709.10033 v4 · 2017-09-28 · math.AP · 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{RYU3YFDG26BHRXZHFTMA3NYCVJ}

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	2026-05-18T00:03:37.245048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e29bc1466d78278df272cd80db702aa5854f5bfaae34538c6759aedeb45ba5c

Aliases

arxiv: 1709.10033 · arxiv_version: 1709.10033v4 · doi: 10.48550/arxiv.1709.10033 · pith_short_12: RYU3YFDG26BH · pith_short_16: RYU3YFDG26BHRXZH · pith_short_8: RYU3YFDG

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/RYU3YFDG26BHRXZHFTMA3NYCVJ \
  | 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: 8e29bc1466d78278df272cd80db702aa5854f5bfaae34538c6759aedeb45ba5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aeb0f65a3222b7babbf6bf8a81520b655ddcbac4257e717a91ae7d312867fa8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-09-28T16:06:07Z",
    "title_canon_sha256": "5502aa0b2ac2e479905d6af0c9a2e5733095012db089053c456164e2469f842e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10033",
    "kind": "arxiv",
    "version": 4
  }
}