Pith Number

pith:REQ4E7T5

pith:2015:REQ4E7T5BLBN7GA5P4A7FLINHR

not attested not anchored not stored refs pending

Global existence and incompressible limit in critical spaces for compressible flow of liquid crystals

Haibo Cui, Qiru Wang, Qunyi Bie, Zheng-an Yao

arxiv:1507.08804 v1 · 2015-07-31 · 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{REQ4E7T5BLBN7GA5P4A7FLINHR}

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	2026-05-18T01:36:02.809852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8921c27e7d0ac2df981d7f01f2ad0d3c7c93d4747c8427160e2be3387207acb1

Aliases

arxiv: 1507.08804 · arxiv_version: 1507.08804v1 · doi: 10.48550/arxiv.1507.08804 · pith_short_12: REQ4E7T5BLBN · pith_short_16: REQ4E7T5BLBN7GA5 · pith_short_8: REQ4E7T5

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/REQ4E7T5BLBN7GA5P4A7FLINHR \
  | 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: 8921c27e7d0ac2df981d7f01f2ad0d3c7c93d4747c8427160e2be3387207acb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517f5ec62d1efe7f95832f7b5569ab7c51dfd7eef49a6247c831115eb3a49df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-31T09:18:43Z",
    "title_canon_sha256": "6cee107c09b7b980af755a8e65d4b4715f78f2bd5cd2d3ea7a8efc80c1372f58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08804",
    "kind": "arxiv",
    "version": 1
  }
}