Pith Number

pith:CRU6LZKV

pith:2012:CRU6LZKVNYGP4RTN62SDRT6RWT

not attested not anchored not stored refs pending

Symmetric vortices for two-component Ginzburg-Landau systems

Qi Gao, Stan Alama

arxiv:1211.5652 v2 · 2012-11-24 · 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{CRU6LZKVNYGP4RTN62SDRT6RWT}

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	2026-05-18T03:26:42.659170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1469e5e5556e0cfe466df6a438cfd1b4d421cdce2fa95e0867d19c2934c330e4

Aliases

arxiv: 1211.5652 · arxiv_version: 1211.5652v2 · doi: 10.48550/arxiv.1211.5652 · pith_short_12: CRU6LZKVNYGP · pith_short_16: CRU6LZKVNYGP4RTN · pith_short_8: CRU6LZKV

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/CRU6LZKVNYGP4RTN62SDRT6RWT \
  | 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: 1469e5e5556e0cfe466df6a438cfd1b4d421cdce2fa95e0867d19c2934c330e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc0c3776f9bd4b39e93e37eb5b038061f42262e2c232f3bc8a96096c2258c78f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-24T09:05:53Z",
    "title_canon_sha256": "7ac8343b19b11a51d481b9ef328bdc8a7850ddfa565929d3f5f35a40047809b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5652",
    "kind": "arxiv",
    "version": 2
  }
}