Pith Number

pith:R62FDVYK

pith:2016:R62FDVYKGUE4XH7IKB4IDEYX3H

not attested not anchored not stored refs pending

Removing discretely self-similar singularities for the 3D Navier-Stokes equations

Dongho Chae, Joerg Wolf

arxiv:1610.09464 v2 · 2016-10-29 · 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{R62FDVYKGUE4XH7IKB4IDEYX3H}

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	2026-05-18T00:43:13.276543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb451d70a3509cb9fe85078819317d9c760d9ecff07b1d34967f8ec675b8775

Aliases

arxiv: 1610.09464 · arxiv_version: 1610.09464v2 · doi: 10.48550/arxiv.1610.09464 · pith_short_12: R62FDVYKGUE4 · pith_short_16: R62FDVYKGUE4XH7I · pith_short_8: R62FDVYK

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/R62FDVYKGUE4XH7IKB4IDEYX3H \
  | 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: 8fb451d70a3509cb9fe85078819317d9c760d9ecff07b1d34967f8ec675b8775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dbbb8b9163411b9d6b993f52a54435903d7330a0adb9a9371247e82f7f3f148",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-29T06:32:04Z",
    "title_canon_sha256": "fba7d256e0f591b0d909202412efa6cba210bdade35a59af60f0098a059abc51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09464",
    "kind": "arxiv",
    "version": 2
  }
}