Pith Number

pith:MUJEUAKN

pith:2011:MUJEUAKNIDTOSH2SCIVMS6DNGY

not attested not anchored not stored refs pending

Global weak solution and large-time behavior for the compressible flow of liquid crystals

Cheng Yu, Dehua Wang

arxiv:1108.4939 v1 · 2011-08-24 · 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{MUJEUAKNIDTOSH2SCIVMS6DNGY}

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	2026-05-18T02:00:48.473559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65124a014d40e6e91f52122ac9786d3632c86ef1965e1b242aad669ad51a40da

Aliases

arxiv: 1108.4939 · arxiv_version: 1108.4939v1 · doi: 10.48550/arxiv.1108.4939 · pith_short_12: MUJEUAKNIDTO · pith_short_16: MUJEUAKNIDTOSH2S · pith_short_8: MUJEUAKN

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/MUJEUAKNIDTOSH2SCIVMS6DNGY \
  | 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: 65124a014d40e6e91f52122ac9786d3632c86ef1965e1b242aad669ad51a40da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d90f894ba046e2bab7213c7c161797e0acc9312f8975924fc783ea4014db13ba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-24T20:14:25Z",
    "title_canon_sha256": "fa1343584cf7cdf5dbf9bc2d2a39a012f3beb79c8660fcac888699beeab61dd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4939",
    "kind": "arxiv",
    "version": 1
  }
}