Pith Number

pith:GQDXGMGQ

pith:2020:GQDXGMGQWCHEUVCH5H65G4BRGR

not attested not anchored not stored refs pending

The Schwartz-Soffer and more inequalities for random fields

C. Itoi, Y. Sakamoto

arxiv:2003.03902 v4 · 2020-03-09 · math-ph · cond-mat.dis-nn · 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{GQDXGMGQWCHEUVCH5H65G4BRGR}

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	2026-07-05T01:20:54.721346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34077330d0b08e4a5447e9fdd370313470c16f10604b5e5c5926b7141bb9de2d

Aliases

arxiv: 2003.03902 · arxiv_version: 2003.03902v4 · doi: 10.48550/arxiv.2003.03902 · pith_short_12: GQDXGMGQWCHE · pith_short_16: GQDXGMGQWCHEUVCH · pith_short_8: GQDXGMGQ

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/GQDXGMGQWCHEUVCH5H65G4BRGR \
  | 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: 34077330d0b08e4a5447e9fdd370313470c16f10604b5e5c5926b7141bb9de2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dda8252048fa5d2aae9e28bca8ec86b323cbe5c2f4f906e3d7782823f633c9c",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2020-03-09T03:10:06Z",
    "title_canon_sha256": "2521085ea0cd3497c9fb2574f4c0bdac9dc97069e25f30807dd60ca80b96d1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.03902",
    "kind": "arxiv",
    "version": 4
  }
}