Pith Number

pith:7MLT7272

pith:2015:7MLT7272NJY3XLWSTNXO3NUSUB

not attested not anchored not stored refs pending

Long-time Behavior of Solution for the Compressible Nematic Liquid Crystal Flows in $\mathbb{R}^3$

Jincheng Gao, Qiang Tao, Zheng-an Yao

arxiv:1503.02865 v1 · 2015-03-10 · 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{7MLT7272NJY3XLWSTNXO3NUSUB}

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	2026-05-18T02:25:12.889564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb173febfa6a71bbaed29b6eedb692a06faf3c67c35092ab9a15bd2c8454182e

Aliases

arxiv: 1503.02865 · arxiv_version: 1503.02865v1 · doi: 10.48550/arxiv.1503.02865 · pith_short_12: 7MLT7272NJY3 · pith_short_16: 7MLT7272NJY3XLWS · pith_short_8: 7MLT7272

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/7MLT7272NJY3XLWSTNXO3NUSUB \
  | 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: fb173febfa6a71bbaed29b6eedb692a06faf3c67c35092ab9a15bd2c8454182e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95c478ef160388ca421be58b6dd468161675cab9884c6790a0bf3f6b1851a93e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-03-10T11:16:07Z",
    "title_canon_sha256": "d50a51bd85d3f12d9d4c61c324ef513f5c0164230704d5e2916cd4e4c2b6aecd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.02865",
    "kind": "arxiv",
    "version": 1
  }
}