Pith Number

pith:2OHRA7C4

pith:2010:2OHRA7C4UOX2QTN3XSIJDQI7LN

not attested not anchored not stored refs pending

Operator monotone functions and L\"owner functions of several variables

Jim Agler, John E. McCarthy, Nicholas J. Young

arxiv:1009.3921 v3 · 2010-09-20 · math.FA · 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{2OHRA7C4UOX2QTN3XSIJDQI7LN}

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	2026-05-18T03:04:15.739339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38f107c5ca3afa84dbbbc9091c11f5b6fca76ce55f9496cc70f354c76bd010e

Aliases

arxiv: 1009.3921 · arxiv_version: 1009.3921v3 · doi: 10.48550/arxiv.1009.3921 · pith_short_12: 2OHRA7C4UOX2 · pith_short_16: 2OHRA7C4UOX2QTN3 · pith_short_8: 2OHRA7C4

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/2OHRA7C4UOX2QTN3XSIJDQI7LN \
  | 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: d38f107c5ca3afa84dbbbc9091c11f5b6fca76ce55f9496cc70f354c76bd010e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29cdbfe133968cd400fe562e1a885424d76dc26934de53defc3e9f4281c38e1b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2010-09-20T19:38:40Z",
    "title_canon_sha256": "33e1d5e12691f848be22133cf517e0786d3c1bdd5e1fad00d1528374ae4b3166"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3921",
    "kind": "arxiv",
    "version": 3
  }
}