Pith Number

pith:JHGU4JXL

pith:2012:JHGU4JXLWNU25BWXUWSLKXHFHL

not attested not anchored not stored refs pending

LPS's Criterion for Incompressible Nematic Liquid Crystal Flows

Guochun Wu, Qing Chen, Zhong Tan

arxiv:1211.5682 v1 · 2012-11-24 · 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{JHGU4JXLWNU25BWXUWSLKXHFHL}

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	2026-05-18T03:40:02.287032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49cd4e26ebb369ae86d7a5a4b55ce53ae9cb9386e8ddf327e8ae501d45a1c0d5

Aliases

arxiv: 1211.5682 · arxiv_version: 1211.5682v1 · doi: 10.48550/arxiv.1211.5682 · pith_short_12: JHGU4JXLWNU2 · pith_short_16: JHGU4JXLWNU25BWX · pith_short_8: JHGU4JXL

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/JHGU4JXLWNU25BWXUWSLKXHFHL \
  | 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: 49cd4e26ebb369ae86d7a5a4b55ce53ae9cb9386e8ddf327e8ae501d45a1c0d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea48b02192b69f6cdc9fdb7c8bd9dfaadce5dc85a31e23012b94321ef680ae6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-24T16:26:47Z",
    "title_canon_sha256": "20055a6c56c0b4fdd5dc196c0b34abd15984c4600a2a6becacec08cdb9d0355f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5682",
    "kind": "arxiv",
    "version": 1
  }
}