Pith Number

pith:ZJEAOIHT

pith:2011:ZJEAOIHTPMDI33UECOUYOMA5BH

not attested not anchored not stored refs pending

Large vorticity stable solutions to the Ginzburg-Landau equations

Andres Contreras, Sylvia Serfaty

arxiv:1109.1837 v1 · 2011-09-08 · 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{ZJEAOIHTPMDI33UECOUYOMA5BH}

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	2026-05-18T04:13:46.679498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca480720f37b068dee8413a987301d09f64d56a233ec68443070f48271df6ba0

Aliases

arxiv: 1109.1837 · arxiv_version: 1109.1837v1 · doi: 10.48550/arxiv.1109.1837 · pith_short_12: ZJEAOIHTPMDI · pith_short_16: ZJEAOIHTPMDI33UE · pith_short_8: ZJEAOIHT

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/ZJEAOIHTPMDI33UECOUYOMA5BH \
  | 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: ca480720f37b068dee8413a987301d09f64d56a233ec68443070f48271df6ba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4858b89163e91cc696f9884fa290f700f5052b92139441cd861b017f5a38dcc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-09-08T20:14:11Z",
    "title_canon_sha256": "aab871ddb90e258c9be34b704e875a6a52cd81b9bdcb298963d0e28ca8b1cdf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1837",
    "kind": "arxiv",
    "version": 1
  }
}