Pith Number

pith:U6WODHG3

pith:2017:U6WODHG3WMMGGQF7SBDE3ZFZO3

not attested not anchored not stored refs pending

An algebraic reduction of the `scaling gap' in the Navier-Stokes regularity problem

Aseel Farhat, Zachary Bradshaw, Z. Grujic

arxiv:1704.05546 v4 · 2017-04-18 · 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{U6WODHG3WMMGGQF7SBDE3ZFZO3}

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	2026-05-18T00:03:19.781987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7ace19cdbb3186340bf90464de4b976fca6065f27ba57b07733eccb5137426c

Aliases

arxiv: 1704.05546 · arxiv_version: 1704.05546v4 · doi: 10.48550/arxiv.1704.05546 · pith_short_12: U6WODHG3WMMG · pith_short_16: U6WODHG3WMMGGQF7 · pith_short_8: U6WODHG3

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/U6WODHG3WMMGGQF7SBDE3ZFZO3 \
  | 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: a7ace19cdbb3186340bf90464de4b976fca6065f27ba57b07733eccb5137426c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4e73c5bcebc0e0673b8bcfcc487217f030ad5327155182043d546ee26f09b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-04-18T22:01:58Z",
    "title_canon_sha256": "fd9f2cf394df9041c517ed48d01906e8e44e54e328fe79396b9642c08a9cfe2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.05546",
    "kind": "arxiv",
    "version": 4
  }
}