Pith Number

pith:HL4ESD7R

pith:2011:HL4ESD7RAZWCS3UNZTJZSSCPPH

not attested not anchored not stored refs pending

Instability of Ginzburg-Landau Vortices on Manifolds

Ko-Shin Chen

arxiv:1108.1949 v1 · 2011-08-09 · 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{HL4ESD7RAZWCS3UNZTJZSSCPPH}

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	2026-05-18T03:14:39.448182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3af8490ff1066c296e8dccd399484f79f1822a848ec84e3ed4dd6c284773c0c2

Aliases

arxiv: 1108.1949 · arxiv_version: 1108.1949v1 · doi: 10.48550/arxiv.1108.1949 · pith_short_12: HL4ESD7RAZWC · pith_short_16: HL4ESD7RAZWCS3UN · pith_short_8: HL4ESD7R

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/HL4ESD7RAZWCS3UNZTJZSSCPPH \
  | 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: 3af8490ff1066c296e8dccd399484f79f1822a848ec84e3ed4dd6c284773c0c2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f7f3eade680b732ea9aa4c91bcbd62af0cda68369ea67e200686cd5a85f80b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-09T15:06:03Z",
    "title_canon_sha256": "07997bae3ccdb7d0c483871bf81c12c3533fe1e4d98954a1813f06713835b48f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1949",
    "kind": "arxiv",
    "version": 1
  }
}