Pith Number

pith:S2Q3KFHZ

pith:2015:S2Q3KFHZQOUQNQDDA7QIMHAGNE

not attested not anchored not stored refs pending

Local well-posedness of strong solutions to density-dependent liquid crystal system

Chen Xu, Huajun Gong, Jinkai Li

arxiv:1512.00716 v1 · 2015-12-02 · 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{S2Q3KFHZQOUQNQDDA7QIMHAGNE}

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	2026-05-18T01:25:25.273356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96a1b514f983a906c06307e0861c0669011733c66c21a92a30e8ac8371f8530a

Aliases

arxiv: 1512.00716 · arxiv_version: 1512.00716v1 · doi: 10.48550/arxiv.1512.00716 · pith_short_12: S2Q3KFHZQOUQ · pith_short_16: S2Q3KFHZQOUQNQDD · pith_short_8: S2Q3KFHZ

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/S2Q3KFHZQOUQNQDDA7QIMHAGNE \
  | 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: 96a1b514f983a906c06307e0861c0669011733c66c21a92a30e8ac8371f8530a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92de850c4b260a78e583f08ade000c4bea045384c788c7b7925ac77f80261f3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-02T14:47:28Z",
    "title_canon_sha256": "b0b84353892a9fc40280914dca817f8f0629e7e04120ec6cab004f8519b45cd4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00716",
    "kind": "arxiv",
    "version": 1
  }
}