Pith Number

pith:UH5QWPSB

pith:2012:UH5QWPSBT62RLPAALFFBNVZIEU

not attested not anchored not stored refs pending

Global Weak Solutions to a General Liquid Crystals System

Xian-gao Liu, Yi-hang Hao, Yu-Ming Chu

arxiv:1201.1529 v3 · 2012-01-07 · 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{UH5QWPSBT62RLPAALFFBNVZIEU}

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	2026-05-18T03:22:19.044265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1fb0b3e419fb515bc00594a16d728252418ec10b4c5968ffce2805e43765dcb

Aliases

arxiv: 1201.1529 · arxiv_version: 1201.1529v3 · doi: 10.48550/arxiv.1201.1529 · pith_short_12: UH5QWPSBT62R · pith_short_16: UH5QWPSBT62RLPAA · pith_short_8: UH5QWPSB

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/UH5QWPSBT62RLPAALFFBNVZIEU \
  | 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: a1fb0b3e419fb515bc00594a16d728252418ec10b4c5968ffce2805e43765dcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a546ede720929381d77c6df6bcd82c14bbb609876000f4c1d8b339bcb82ff8a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-07T04:10:27Z",
    "title_canon_sha256": "05c2d37f942436a01744892d6d74d4d9891f814b140f139f88d2f30666dd2ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1529",
    "kind": "arxiv",
    "version": 3
  }
}