Pith Number

pith:2W4QTWEY

pith:2016:2W4QTWEYLOFXWHIA7ALRG3O5R7

not attested not anchored not stored refs pending

On the interior regularity of weak solutions to the 2-D incompressible Euler equations

Jos\'e Miguel Urbano, Juhana Siljander

arxiv:1604.06616 v1 · 2016-04-22 · 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{2W4QTWEYLOFXWHIA7ALRG3O5R7}

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	2026-05-18T01:16:28.618362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5b909d8985b8b7b1d00f817136ddd8fd9f06e14761bb135af5b2c39cb4e1c2c

Aliases

arxiv: 1604.06616 · arxiv_version: 1604.06616v1 · doi: 10.48550/arxiv.1604.06616 · pith_short_12: 2W4QTWEYLOFX · pith_short_16: 2W4QTWEYLOFXWHIA · pith_short_8: 2W4QTWEY

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/2W4QTWEYLOFXWHIA7ALRG3O5R7 \
  | 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: d5b909d8985b8b7b1d00f817136ddd8fd9f06e14761bb135af5b2c39cb4e1c2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8f76125ebe1e92ba2c9d7df873778268c2ca3c1462c19823e03b679d2845024",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-22T12:04:27Z",
    "title_canon_sha256": "adc0569eb5e147c561bdb041137350c4860fdcf413887f1ebb7c4233dec9788a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06616",
    "kind": "arxiv",
    "version": 1
  }
}