Pith Number

pith:6ARINQ7H

pith:2019:6ARINQ7HUM55XOKFIMVRVB5TUP

not attested not anchored not stored refs pending

Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system

Xiangao Liu, Xiaotao Zhang, Yihang Hao

arxiv:1906.06318 v1 · 2019-06-14 · 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{6ARINQ7HUM55XOKFIMVRVB5TUP}

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	2026-05-17T23:43:19.037823Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02286c3e7a33bdbb945432b1a87b3a3c83117cf0d674f62f53c521bb4ed64b5

Aliases

arxiv: 1906.06318 · arxiv_version: 1906.06318v1 · doi: 10.48550/arxiv.1906.06318 · pith_short_12: 6ARINQ7HUM55 · pith_short_16: 6ARINQ7HUM55XOKF · pith_short_8: 6ARINQ7H

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/6ARINQ7HUM55XOKFIMVRVB5TUP \
  | 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: f02286c3e7a33bdbb945432b1a87b3a3c83117cf0d674f62f53c521bb4ed64b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d5989016ac3cdb1a5ff47ccaa2572f7fe2ce339044cd4d256fb3e859eaff6e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-14T17:47:22Z",
    "title_canon_sha256": "743a08d30eac64f0d042212422df24798277dcdf2b4d15eacda170e52a57e655"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06318",
    "kind": "arxiv",
    "version": 1
  }
}