Pith Number

pith:VBPU6772

pith:2021:VBPU67727S3RGKHIK2CY3WMKBE

not attested not anchored not stored refs pending

Local minimality of $\mathbb{R}^N$-valued and $\mathbb{S}^N$-valued Ginzburg-Landau vortex solutions in the unit ball $B^N$

Luc Nguyen, Radu Ignat

arxiv:2111.07669 v1 · 2021-11-15 · 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{VBPU67727S3RGKHIK2CY3WMKBE}

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	2026-07-05T03:31:42.748778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a85f4f7ffafcb71328e856858dd98a090670a7270be8fa451bfe27522e1bce08

Aliases

arxiv: 2111.07669 · arxiv_version: 2111.07669v1 · doi: 10.48550/arxiv.2111.07669 · pith_short_12: VBPU67727S3R · pith_short_16: VBPU67727S3RGKHI · pith_short_8: VBPU6772

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/VBPU67727S3RGKHIK2CY3WMKBE \
  | 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: a85f4f7ffafcb71328e856858dd98a090670a7270be8fa451bfe27522e1bce08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c8b322e67c3711f1d64251f62b26b79c975d50cca39fb4be63dbf351967d055",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-15T10:52:37Z",
    "title_canon_sha256": "b14c5fc0b7654ee384384489a1dfb8bea36bcdec62e968febd55beffd2b2c7ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.07669",
    "kind": "arxiv",
    "version": 1
  }
}