Pith Number

pith:5LZEW4AM

pith:2016:5LZEW4AMYQV7NUWQWJSOT7ZLZU

not attested not anchored not stored refs pending

Global regularity of three dimensional density patch for inhomogeneous incompressible viscous flow

Xian Liao, Yanlin Liu

arxiv:1606.05395 v3 · 2016-06-17 · 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{5LZEW4AMYQV7NUWQWJSOT7ZLZU}

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	2026-05-18T00:30:22.611593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaf24b700cc42bf6d2d0b264e9ff2bcd3bd608e5279d7c5b1383a109a13327ab

Aliases

arxiv: 1606.05395 · arxiv_version: 1606.05395v3 · doi: 10.48550/arxiv.1606.05395 · pith_short_12: 5LZEW4AMYQV7 · pith_short_16: 5LZEW4AMYQV7NUWQ · pith_short_8: 5LZEW4AM

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/5LZEW4AMYQV7NUWQWJSOT7ZLZU \
  | 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: eaf24b700cc42bf6d2d0b264e9ff2bcd3bd608e5279d7c5b1383a109a13327ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d44bdc43ab4605573ad2f192f5bed4adae0267d5fa5d8d01b58d0e2c1911a8f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-17T01:29:46Z",
    "title_canon_sha256": "eed375e6a51ae603f5bd7a256a9819fc7ff740706fdf57db6457be6dfb0ebd11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05395",
    "kind": "arxiv",
    "version": 3
  }
}