Pith Number

pith:AM2LUYKL

pith:2013:AM2LUYKLANT573CJNSREKDL6R6

not attested not anchored not stored refs pending

A spatially localized $L \log L$ estimate on the vorticity in the 3D NSE

Z. Bradshaw, Z. Gruji\'c

arxiv:1309.2519 v5 · 2013-09-10 · 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{AM2LUYKLANT573CJNSREKDL6R6}

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	2026-05-18T02:59:47.744436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0334ba614b0367dfec496ca2450d7e8f9a344a32a3df42ecc9f6d1380f10ee3a

Aliases

arxiv: 1309.2519 · arxiv_version: 1309.2519v5 · doi: 10.48550/arxiv.1309.2519 · pith_short_12: AM2LUYKLANT5 · pith_short_16: AM2LUYKLANT573CJ · pith_short_8: AM2LUYKL

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/AM2LUYKLANT573CJNSREKDL6R6 \
  | 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: 0334ba614b0367dfec496ca2450d7e8f9a344a32a3df42ecc9f6d1380f10ee3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f26967081f1b62baa1aeb204292d6bec359684b3f7628db42e896c24bec442be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-10T14:08:14Z",
    "title_canon_sha256": "91807669ec0e82d8f465c18df7a7466f6f47b4b5df5b2177c738d4b40c9d87fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2519",
    "kind": "arxiv",
    "version": 5
  }
}