Pith Number

pith:NY6TY3OO

pith:2025:NY6TY3OO3GXAAQQZVIQJEVQN2Z

not attested not anchored not stored refs pending

Vanishing viscosity non-unique solutions to the forced 2D Euler Equations

Dallas Albritton, Giulia Mescolini, Maria Colombo

arxiv:2507.19257 v1 · 2025-07-25 · 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{NY6TY3OO3GXAAQQZVIQJEVQN2Z}

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	2026-07-05T11:43:22.408484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e3d3c6dced9ae004219aa2092560dd67b7f0b7ad5bb1bd0bfaaf9af925300f7

Aliases

arxiv: 2507.19257 · arxiv_version: 2507.19257v1 · doi: 10.48550/arxiv.2507.19257 · pith_short_12: NY6TY3OO3GXA · pith_short_16: NY6TY3OO3GXAAQQZ · pith_short_8: NY6TY3OO

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/NY6TY3OO3GXAAQQZVIQJEVQN2Z \
  | 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: 6e3d3c6dced9ae004219aa2092560dd67b7f0b7ad5bb1bd0bfaaf9af925300f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581d937e7aa8913348089045ab95de1e964a95569c8699a2c9631335c170a968",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-25T13:34:43Z",
    "title_canon_sha256": "ed7d4b9526b217447f9091999dbb37376544137f0c42037466ff4aeb46990345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19257",
    "kind": "arxiv",
    "version": 1
  }
}