Pith Number

pith:6BYJG5G5

pith:2014:6BYJG5G5QY44XWAXLC2ATR3RTN

not attested not anchored not stored refs pending

Lipschitz continuity and monotone decreasingness of the solution to the BCS gap equation for superconductivity

Ken Kuriyama, Shuji Watanabe

arxiv:1411.7473 v3 · 2014-11-27 · math-ph · cond-mat.supr-con · math.AP · math.FA · 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{6BYJG5G5QY44XWAXLC2ATR3RTN}

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	2026-05-18T00:49:40.419906Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0709374dd8639cbd81758b409c7719b5151905857abb8f15d4e5bf03ad126dd

Aliases

arxiv: 1411.7473 · arxiv_version: 1411.7473v3 · doi: 10.48550/arxiv.1411.7473 · pith_short_12: 6BYJG5G5QY44 · pith_short_16: 6BYJG5G5QY44XWAX · pith_short_8: 6BYJG5G5

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/6BYJG5G5QY44XWAXLC2ATR3RTN \
  | 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: f0709374dd8639cbd81758b409c7719b5151905857abb8f15d4e5bf03ad126dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b34b5c9bb1b7c3c9be998c68f4948456aee0f4a33af5e940ac48a884f0215bb",
    "cross_cats_sorted": [
      "cond-mat.supr-con",
      "math.AP",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2014-11-27T05:18:27Z",
    "title_canon_sha256": "ec865e3c3c66c30f9ab239333cfd23afd88f0a7fe9fef8bbea1603163e57cb9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7473",
    "kind": "arxiv",
    "version": 3
  }
}