Pith Number

pith:LC3Q7P5V

pith:2016:LC3Q7P5VF62H3XDRP3J2N7MR5P

not attested not anchored not stored refs pending

$\Gamma$-convergence analysis of a generalized $XY$ model: fractional vortices and string defects

Lucia De Luca, Marcello Ponsiglione, Marco Cicalese, Rufat Badal

arxiv:1612.03128 v1 · 2016-12-09 · 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{LC3Q7P5VF62H3XDRP3J2N7MR5P}

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	2026-05-18T00:28:56.624431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b70fbfb52fb47ddc717ed3a6fd91ebc5ad2dfd50ce6b438efc7149eae8ed21

Aliases

arxiv: 1612.03128 · arxiv_version: 1612.03128v1 · doi: 10.48550/arxiv.1612.03128 · pith_short_12: LC3Q7P5VF62H · pith_short_16: LC3Q7P5VF62H3XDR · pith_short_8: LC3Q7P5V

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/LC3Q7P5VF62H3XDRP3J2N7MR5P \
  | 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: 58b70fbfb52fb47ddc717ed3a6fd91ebc5ad2dfd50ce6b438efc7149eae8ed21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e1525ad910a92f6a7ccc36206e7a7efc45d261d85e05c7562a881b68c8088a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-09T18:54:51Z",
    "title_canon_sha256": "360bcb93e832e3d94857cbb76fa5b1e431022fcd727abcfd519f8b10a2ec8ce1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03128",
    "kind": "arxiv",
    "version": 1
  }
}