Pith Number

pith:K7AYMIPQ

pith:2019:K7AYMIPQTMR6FQLJO5OA2F43SN

not attested not anchored not stored refs pending

Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow

Fucai Li, Liang Guo, Ning Jiang, Shaojun Tang, Yi-Long Luo

arxiv:1911.04315 v2 · 2019-11-11 · 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{K7AYMIPQTMR6FQLJO5OA2F43SN}

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	2026-07-05T07:07:01.121632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57c18621f09b23e2c169775c0d179b93795cb3dd9fef785c92eaa412df739d99

Aliases

arxiv: 1911.04315 · arxiv_version: 1911.04315v2 · doi: 10.48550/arxiv.1911.04315 · pith_short_12: K7AYMIPQTMR6 · pith_short_16: K7AYMIPQTMR6FQLJ · pith_short_8: K7AYMIPQ

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/K7AYMIPQTMR6FQLJO5OA2F43SN \
  | 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: 57c18621f09b23e2c169775c0d179b93795cb3dd9fef785c92eaa412df739d99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ccec0982f510ac08df8640aa723ab8e841281f2d5a349ffaba313a3b84c7f96",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-11-11T15:03:21Z",
    "title_canon_sha256": "a167552650226775f2ec229a0f83765ccc155e526bd63dad55c2ee7dd1b9de08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.04315",
    "kind": "arxiv",
    "version": 2
  }
}