Pith Number

pith:B27ZTHXJ

pith:2012:B27ZTHXJYEVPWOGMGH5NN3RWNK

not attested not anchored not stored refs pending

Incompressible Limit of a Compressible Liquid Crystals System

Xian-gao Liu, Yihang Hao

arxiv:1201.5942 v3 · 2012-01-28 · 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{B27ZTHXJYEVPWOGMGH5NN3RWNK}

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	2026-05-18T03:22:18.993075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ebf999ee9c12afb38cc31fad6ee366ab91623f1a8011dca8541f093811088cd

Aliases

arxiv: 1201.5942 · arxiv_version: 1201.5942v3 · doi: 10.48550/arxiv.1201.5942 · pith_short_12: B27ZTHXJYEVP · pith_short_16: B27ZTHXJYEVPWOGM · pith_short_8: B27ZTHXJ

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/B27ZTHXJYEVPWOGMGH5NN3RWNK \
  | 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: 0ebf999ee9c12afb38cc31fad6ee366ab91623f1a8011dca8541f093811088cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cc093475788426a5c54700b957e8921794a884ddcaaaa8c0e0fa0197fd53932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-28T10:32:20Z",
    "title_canon_sha256": "48ef8c4354f3ccb41986a8cf1204758d5fccdc64ab2eb924fb004adc8b042904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5942",
    "kind": "arxiv",
    "version": 3
  }
}