Pith Number

pith:ZDWFHRFW

pith:2017:ZDWFHRFWI4QKCPTHMXI3E3TXYX

not attested not anchored not stored refs pending

Energy Concentration for Min-Max Solutions of the Ginzburg-Landau Equations on Manifolds with $b_1(M)\neq 0$

Daniel Stern

arxiv:1704.00712 v1 · 2017-04-03 · math.DG · 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{ZDWFHRFWI4QKCPTHMXI3E3TXYX}

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	2026-05-18T00:47:21.521384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8ec53c4b64720a13e6765d1b26e77c5e5960dc1a3640ba7435b7755adfc556f

Aliases

arxiv: 1704.00712 · arxiv_version: 1704.00712v1 · doi: 10.48550/arxiv.1704.00712 · pith_short_12: ZDWFHRFWI4QK · pith_short_16: ZDWFHRFWI4QKCPTH · pith_short_8: ZDWFHRFW

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/ZDWFHRFWI4QKCPTHMXI3E3TXYX \
  | 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: c8ec53c4b64720a13e6765d1b26e77c5e5960dc1a3640ba7435b7755adfc556f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fbf646171b5e6920426d3f947553c375ba32a3e1ca95ce65432f2c9744caf8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-03T17:54:15Z",
    "title_canon_sha256": "55c470bc4959f5468fbcdc2698ea8a2235639ee00d7d85d0861b327a5fbcc328"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.00712",
    "kind": "arxiv",
    "version": 1
  }
}