Pith Number

pith:GKSY3MQW

pith:2020:GKSY3MQWUWSGWW265MOEGVUX7W

not attested not anchored not stored refs pending

A Liouville theorem for an integral equation of the Ginzburg-Landau type

Xin Xu, Yutian Lei

arxiv:2006.14951 v2 · 2020-06-24 · 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{GKSY3MQWUWSGWW265MOEGVUX7W}

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	2026-07-05T01:38:38.655978Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a58db216a5a46b5b5eeb1c435697fda2550dd68889cedb9f5aa479f6e8066a

Aliases

arxiv: 2006.14951 · arxiv_version: 2006.14951v2 · doi: 10.48550/arxiv.2006.14951 · pith_short_12: GKSY3MQWUWSG · pith_short_16: GKSY3MQWUWSGWW26 · pith_short_8: GKSY3MQW

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/GKSY3MQWUWSGWW265MOEGVUX7W \
  | 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: 32a58db216a5a46b5b5eeb1c435697fda2550dd68889cedb9f5aa479f6e8066a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6da2523ccf42bb446b80d8dd2faffa79882d451c5dd41f6998416dda7dc5602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-06-24T22:38:41Z",
    "title_canon_sha256": "bd246f0b22adb43c28299c4aa2a170fa80c4926fe9a3198e38f650a2e89405cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.14951",
    "kind": "arxiv",
    "version": 2
  }
}