Pith Number

pith:ISME2SNJ

pith:2012:ISME2SNJ5RRCGD5LV4SAPOZHAR

not attested not anchored not stored refs pending

Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows

Jianwen Zhang, Jing Li, Zhonghai Xu

arxiv:1204.4966 v1 · 2012-04-23 · 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{ISME2SNJ5RRCGD5LV4SAPOZHAR}

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	2026-05-18T03:57:15.052864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44984d49a9ec62230fabaf2407bb270473523d6d307bcf04785779e28a33fea2

Aliases

arxiv: 1204.4966 · arxiv_version: 1204.4966v1 · doi: 10.48550/arxiv.1204.4966 · pith_short_12: ISME2SNJ5RRC · pith_short_16: ISME2SNJ5RRCGD5L · pith_short_8: ISME2SNJ

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/ISME2SNJ5RRCGD5LV4SAPOZHAR \
  | 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: 44984d49a9ec62230fabaf2407bb270473523d6d307bcf04785779e28a33fea2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d73737f51821a226d3b97e049bbadb21e7d6f0bbdaa7a0e1058e6f0be2a9f9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-23T03:37:03Z",
    "title_canon_sha256": "9477a292c9338ff90a19e6792eba2343293e5b60d32fc9a744a72ab6aaadf8f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4966",
    "kind": "arxiv",
    "version": 1
  }
}