Pith Number

pith:EKWULNYY

pith:2015:EKWULNYYZ2Q4MJAFW76XKJLDBV

not attested not anchored not stored refs pending

Global well-posedness for the 3-D density-dependent liquid crystal flows in the critical Besov spaces

Wei Yan, Xiaoping Zhai, Yongsheng Li

arxiv:1503.05419 v1 · 2015-03-18 · 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{EKWULNYYZ2Q4MJAFW76XKJLDBV}

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	2026-05-18T02:21:50.454331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22ad45b718cea1c62405b7fd7525630d40dabf7b6c3d86548c2d6c070a7c1b1c

Aliases

arxiv: 1503.05419 · arxiv_version: 1503.05419v1 · doi: 10.48550/arxiv.1503.05419 · pith_short_12: EKWULNYYZ2Q4 · pith_short_16: EKWULNYYZ2Q4MJAF · pith_short_8: EKWULNYY

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/EKWULNYYZ2Q4MJAFW76XKJLDBV \
  | 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: 22ad45b718cea1c62405b7fd7525630d40dabf7b6c3d86548c2d6c070a7c1b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d753fbf4fb8f5ee564648dc736dd3515b8dd603aab0e5a7f3e319b7d70a028c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-18T14:05:32Z",
    "title_canon_sha256": "907c52e81a8c4fdb2fa9b454b3f3cadafc201ee98001985adbeb4b7068e83eb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05419",
    "kind": "arxiv",
    "version": 1
  }
}