Pith Number

pith:CBO3UPL3

pith:2017:CBO3UPL3TE2WBEIGBAMAOFAJKZ

not attested not anchored not stored refs pending

On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow

Ning Jiang, Shaojun Tang, Yi-Long Luo

arxiv:1712.09799 v1 · 2017-12-28 · 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{CBO3UPL3TE2WBEIGBAMAOFAJKZ}

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	2026-05-18T00:27:05.519969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105dba3d7b99356091060818071409565d5f8a010ffdf94502827c519eb9a202

Aliases

arxiv: 1712.09799 · arxiv_version: 1712.09799v1 · doi: 10.48550/arxiv.1712.09799 · pith_short_12: CBO3UPL3TE2W · pith_short_16: CBO3UPL3TE2WBEIG · pith_short_8: CBO3UPL3

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/CBO3UPL3TE2WBEIGBAMAOFAJKZ \
  | 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: 105dba3d7b99356091060818071409565d5f8a010ffdf94502827c519eb9a202

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1380713b70a5a28e7e494e8002761f28b64275b3c06b0443f0c8f8f1297115dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-28T09:40:01Z",
    "title_canon_sha256": "d41ec73ab5b2adde6c3df8afde144e4e8f30d1c0d5b055e9e944cdf1fe28fd96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.09799",
    "kind": "arxiv",
    "version": 1
  }
}