Pith Number

pith:7PZLJ62C

pith:1997:7PZLJ62CQ7H7IVPH3YNF2OG7ID

not attested not anchored not stored refs pending

A sharp Schwarz inequality on the boundary

Robert Osserman

arxiv:math/9712280 v1 · 1997-12-22 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7PZLJ62CQ7H7IVPH3YNF2OG7ID}

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	2026-05-18T01:05:34.519902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf2b4fb4287cff455e7de1a5d38df40c68ddac4253bf9387a8b1729ff3e6bc3

Aliases

arxiv: math/9712280 · arxiv_version: math/9712280v1 · doi: 10.48550/arxiv.math/9712280 · pith_short_12: 7PZLJ62CQ7H7 · pith_short_16: 7PZLJ62CQ7H7IVPH · pith_short_8: 7PZLJ62C

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/7PZLJ62CQ7H7IVPH3YNF2OG7ID \
  | 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: fbf2b4fb4287cff455e7de1a5d38df40c68ddac4253bf9387a8b1729ff3e6bc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cc1749ccff55922d23b3e2c8968036ae00bf441d2ad766c520bf6eb2811e2ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CV",
    "submitted_at": "1997-12-22T00:00:00Z",
    "title_canon_sha256": "7b20566c73f456139ab1b981230391ef1aa056824c3a4c96e2b72414e6162232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9712280",
    "kind": "arxiv",
    "version": 1
  }
}