Pith Number

pith:K5CAJHC5

pith:2019:K5CAJHC53AIMVQ7O7WR54IRPOT

not attested not anchored not stored refs pending

Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces

Guoquan Qin

arxiv:1906.06503 v1 · 2019-06-15 · 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{K5CAJHC53AIMVQ7O7WR54IRPOT}

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	2026-05-17T23:43:13.513882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5744049c5dd810cac3eefda3de222f74d1980577373bda09f93d39578af5d6a9

Aliases

arxiv: 1906.06503 · arxiv_version: 1906.06503v1 · doi: 10.48550/arxiv.1906.06503 · pith_short_12: K5CAJHC53AIM · pith_short_16: K5CAJHC53AIMVQ7O · pith_short_8: K5CAJHC5

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/K5CAJHC53AIMVQ7O7WR54IRPOT \
  | 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: 5744049c5dd810cac3eefda3de222f74d1980577373bda09f93d39578af5d6a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8907fbf808d4e48f77a41d3534ce002d419bab5c12972be9bb81f6177f81735d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-15T09:06:13Z",
    "title_canon_sha256": "c0e428ffbc82a2f6dea6bacbaf21425939d988e51d17bba4baaf09adfdd06edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06503",
    "kind": "arxiv",
    "version": 1
  }
}