Pith Number

pith:5OJWYL5R

pith:2017:5OJWYL5RJ4EET52V72LINSHXDF

not attested not anchored not stored refs pending

A sublinear version of Schur's lemma and elliptic PDE

Igor E. Verbitsky, Stephen Quinn

arxiv:1702.02682 v2 · 2017-02-09 · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5OJWYL5RJ4EET52V72LINSHXDF}

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	2026-05-18T00:23:45.957050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb936c2fb14f0849f755fe9686c8f71963e1ea5fed048659f8c06d32ee6c78df

Aliases

arxiv: 1702.02682 · arxiv_version: 1702.02682v2 · doi: 10.48550/arxiv.1702.02682 · pith_short_12: 5OJWYL5RJ4EE · pith_short_16: 5OJWYL5RJ4EET52V · pith_short_8: 5OJWYL5R

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/5OJWYL5RJ4EET52V72LINSHXDF \
  | 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: eb936c2fb14f0849f755fe9686c8f71963e1ea5fed048659f8c06d32ee6c78df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "00d71e41329ec4f5a5fde4fa2b0b58c4d9c1ae15061a854a9ae910add032808c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-09T02:30:04Z",
    "title_canon_sha256": "7405ff8f20a81e2be92074aae1377363f9daf021ee234bc84cb45452ae489f3b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02682",
    "kind": "arxiv",
    "version": 2
  }
}