Pith Number

pith:FRU52W6I

pith:2016:FRU52W6IBE32AL45WWOW5YDVTC

not attested not anchored not stored refs pending

Existence of superconducting solutions for a reduced Ginzburg-Landau model in the presence of strong electric currents

Dmitry Golovaty, Itai Shafrir, Leonid Berlyand, Yaniv Almog

arxiv:1611.02732 v2 · 2016-11-08 · math-ph · math.AP · 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{FRU52W6IBE32AL45WWOW5YDVTC}

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	2026-05-17T23:55:05.444092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c69dd5bc80937a02f9db59d6ee07598992a8d3362499300476e0a0cf775239d

Aliases

arxiv: 1611.02732 · arxiv_version: 1611.02732v2 · doi: 10.48550/arxiv.1611.02732 · pith_short_12: FRU52W6IBE32 · pith_short_16: FRU52W6IBE32AL45 · pith_short_8: FRU52W6I

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/FRU52W6IBE32AL45WWOW5YDVTC \
  | 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: 2c69dd5bc80937a02f9db59d6ee07598992a8d3362499300476e0a0cf775239d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b668538a1143d9c362e90d60e62cfd32cc1fc6c00c71865c91c6ddeee2f0b96",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-08T21:46:16Z",
    "title_canon_sha256": "7c33fb539d347543e4a08381758dd90e35c5b1e6d0c230e625b80400fd9cb889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.02732",
    "kind": "arxiv",
    "version": 2
  }
}