Pith Number

pith:OCIPNYOX

pith:2009:OCIPNYOX3CFXHO2C4FPK5RWDJZ

not attested not anchored not stored refs pending

Krein systems

A. Sakhnovich, D. Alpay, I. Gohberg, L. Lerer, M.A. Kaashoek

arxiv:0903.4778 v1 · 2009-03-27 · math.CA · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OCIPNYOX3CFXHO2C4FPK5RWDJZ}

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	2026-05-18T04:25:11.595085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7090f6e1d7d88b73bb42e15eaec6c34e675fd9725105b0facb9d60189ca911d3

Aliases

arxiv: 0903.4778 · arxiv_version: 0903.4778v1 · doi: 10.48550/arxiv.0903.4778 · pith_short_12: OCIPNYOX3CFX · pith_short_16: OCIPNYOX3CFXHO2C · pith_short_8: OCIPNYOX

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/OCIPNYOX3CFXHO2C4FPK5RWDJZ \
  | 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: 7090f6e1d7d88b73bb42e15eaec6c34e675fd9725105b0facb9d60189ca911d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "180401489bcd87724612a83d62031b32d279ecee0e7b26382b8a5aa6c23d855b",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2009-03-27T13:10:21Z",
    "title_canon_sha256": "58665cd4e84a322b5e08e1ed887c80010eb2659ea00a125e0f99bf490383a22a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.4778",
    "kind": "arxiv",
    "version": 1
  }
}