Pith Number

pith:632LH5US

pith:2017:632LH5US7YOTL53R6CYJQ7REYG

not attested not anchored not stored refs pending

3D vortex approximation construction and $\varepsilon$-level estimates for the Ginzburg-Landau functional

Carlos Rom\'an

arxiv:1712.07604 v1 · 2017-12-20 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{632LH5US7YOTL53R6CYJQ7REYG}

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	2026-05-17T23:54:56.441969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f4b3f692fe1d35f771f0b0987e24c187c95e9e9f8c93f2d0efb26414d65d2d

Aliases

arxiv: 1712.07604 · arxiv_version: 1712.07604v1 · doi: 10.48550/arxiv.1712.07604 · pith_short_12: 632LH5US7YOT · pith_short_16: 632LH5US7YOTL53R · pith_short_8: 632LH5US

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/632LH5US7YOTL53R6CYJQ7REYG \
  | 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: f6f4b3f692fe1d35f771f0b0987e24c187c95e9e9f8c93f2d0efb26414d65d2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b106384ec40efe24ba8d75462be1d448d55cd02c689b1998b42460c14f35173f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-20T17:45:15Z",
    "title_canon_sha256": "8016a38be3a83b358203286f68c9fc2e38708ccf16f5fd73181b238e1b4bb336"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07604",
    "kind": "arxiv",
    "version": 1
  }
}