Pith Number

pith:KITBUIC3

pith:2013:KITBUIC3VYC57ICSVXHBRK34UL

not attested not anchored not stored refs pending

The two-dimensional Euler equations in Yudovich type space and $\mathrm{\textbf{bmo}}$-type space

Changxing Miao, Qionglei Chen, Xiaoxin Zheng

arxiv:1311.0934 v4 · 2013-11-05 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KITBUIC3VYC57ICSVXHBRK34UL}

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	2026-05-17T23:43:43.635543Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52261a205bae05dfa052adce18ab7ca2ce560be789556b36d680b33953c136fe

Aliases

arxiv: 1311.0934 · arxiv_version: 1311.0934v4 · doi: 10.48550/arxiv.1311.0934 · pith_short_12: KITBUIC3VYC5 · pith_short_16: KITBUIC3VYC57ICS · pith_short_8: KITBUIC3

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/KITBUIC3VYC57ICSVXHBRK34UL \
  | 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: 52261a205bae05dfa052adce18ab7ca2ce560be789556b36d680b33953c136fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abbcfd407e90dd25a5982c36b2b01baa8adbbecffb9733a3b6eb049e6933c5ef",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-05T00:30:06Z",
    "title_canon_sha256": "1d5dbd946d61497aaa8dc5f165cd96b4769a7f5efdffa7eb4b691bbc4cc0f7e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0934",
    "kind": "arxiv",
    "version": 4
  }
}