Pith Number

pith:7PUGG7UY

pith:2015:7PUGG7UYEJVHTBPBQDWGA7JIOR

not attested not anchored not stored refs pending

Global well-posedness of the 2D nonhomogeneous incompressible nematic liquid crystal flows with vacuum

Qiao Liu, Shengquan Liu, Wenke Tan, Xin Zhong

arxiv:1507.06471 v2 · 2015-07-23 · 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{7PUGG7UYEJVHTBPBQDWGA7JIOR}

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	2026-05-18T01:36:21.998943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbe8637e98226a7985e180ec607d2874534eec4d0ef4c441c10761cbf5fda38d

Aliases

arxiv: 1507.06471 · arxiv_version: 1507.06471v2 · doi: 10.48550/arxiv.1507.06471 · pith_short_12: 7PUGG7UYEJVH · pith_short_16: 7PUGG7UYEJVHTBPB · pith_short_8: 7PUGG7UY

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/7PUGG7UYEJVHTBPBQDWGA7JIOR \
  | 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: fbe8637e98226a7985e180ec607d2874534eec4d0ef4c441c10761cbf5fda38d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "279c8ca26df5299190b3e7548406455187bb4eeb28ab68373aed2314cbdb04a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-23T12:46:45Z",
    "title_canon_sha256": "3106205653193d1ae23eedeba270ae05652d885031fcdd899322f1faa6f52e8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06471",
    "kind": "arxiv",
    "version": 2
  }
}