Pith Number

pith:FV6FUEUQ

pith:2012:FV6FUEUQ4335A7P3G4CE3LCXCA

not attested not anchored not stored refs pending

Weak-strong uniqueness property for the compressible flow of liquid crystals

Changsheng Dou, Qiangchang Ju, Yong-Fu Yang

arxiv:1203.6745 v2 · 2012-03-30 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV6FUEUQ4335A7P3G4CE3LCXCA}

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	2026-05-18T03:56:21.836555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7c5a1290e6f7d07dfb37044dac57101f0919df30af5820a0f1f10327705889

Aliases

arxiv: 1203.6745 · arxiv_version: 1203.6745v2 · doi: 10.48550/arxiv.1203.6745 · pith_short_12: FV6FUEUQ4335 · pith_short_16: FV6FUEUQ4335A7P3 · pith_short_8: FV6FUEUQ

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/FV6FUEUQ4335A7P3G4CE3LCXCA \
  | 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: 2d7c5a1290e6f7d07dfb37044dac57101f0919df30af5820a0f1f10327705889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fac657c4c584e77608c455f7648b055d3548497fad4feb4f7e2645f21e87df0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-30T08:50:28Z",
    "title_canon_sha256": "3aca7efffaab65086fd55f6ab84c0d00f64fe7e29ac10e75960b05b1e8cd233a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.6745",
    "kind": "arxiv",
    "version": 2
  }
}