Pith Number

pith:3A2KQYSI

pith:2016:3A2KQYSILYLAYXDOIMJ642Z2EA

not attested not anchored not stored refs pending

On the initial boundary value problem of a Navier-Stokes/$Q$-tensor model for liquid crystals

Wei Wang, Yuning Liu

arxiv:1606.05216 v2 · 2016-06-16 · 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{3A2KQYSILYLAYXDOIMJ642Z2EA}

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	2026-05-18T00:46:25.122242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d834a862485e160c5c6e4313ee6b3a202645ab6d0b03cc9dec78027dc35f2a10

Aliases

arxiv: 1606.05216 · arxiv_version: 1606.05216v2 · doi: 10.48550/arxiv.1606.05216 · pith_short_12: 3A2KQYSILYLA · pith_short_16: 3A2KQYSILYLAYXDO · pith_short_8: 3A2KQYSI

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/3A2KQYSILYLAYXDOIMJ642Z2EA \
  | 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: d834a862485e160c5c6e4313ee6b3a202645ab6d0b03cc9dec78027dc35f2a10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9df0a9e4bfe5284d50123cc7a47d92c90d0e337942992208ae63c9bfd2aa871",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-16T15:07:06Z",
    "title_canon_sha256": "f317946d5125ce5bbecacc190fac9537920f35e3f3591c0a6d8c6839cf58bfe3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05216",
    "kind": "arxiv",
    "version": 2
  }
}