Pith Number

pith:ZKPPILSL

pith:2021:ZKPPILSLMJQXSKZBG4T66QO6VO

not attested not anchored not stored refs pending

Entire solutions of the magnetic Ginzburg-Landau equation in $\mathbb{R}^4$

Juncheng Wei, Wangze Wu, Xinan Ma, Yong Liu

arxiv:2108.02754 v1 · 2021-08-05 · math.AP · math.DG

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZKPPILSLMJQXSKZBG4T66QO6VO}

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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.

Cited by

1 paper in Pith

Allard Regularity for Abelian Yang--Mills--Higgs Equation

Receipt and verification

First computed	2026-07-05T03:03:35.988483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca9ef42e4b6261792b213727ef41deab9b9e9fd310cb81ba4907bdffdaf0591b

Aliases

arxiv: 2108.02754 · arxiv_version: 2108.02754v1 · doi: 10.48550/arxiv.2108.02754 · pith_short_12: ZKPPILSLMJQX · pith_short_16: ZKPPILSLMJQXSKZB · pith_short_8: ZKPPILSL

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/ZKPPILSLMJQXSKZBG4T66QO6VO \
  | 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: ca9ef42e4b6261792b213727ef41deab9b9e9fd310cb81ba4907bdffdaf0591b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42d3c7f16e79b80d45372191137d0edb7c54cba375799f9758bba6e586f4dab",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-08-05T17:40:29Z",
    "title_canon_sha256": "1eea9dc8ca6bae3e1fd205d63886bf98b590d9f23009d8699f8f2b8e6739ee5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.02754",
    "kind": "arxiv",
    "version": 1
  }
}