Pith Number

pith:3I6VI5IQ

pith:2010:3I6VI5IQVLZIQWK5V7HBPNSECZ

not attested not anchored not stored refs pending

The positive real lemma and construction of all realizations of generalized positive rational functions

Daniel Alpay, Izchak Lewkowicz

arxiv:1010.3548 v3 · 2010-10-18 · math.OC · cs.SY · 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{3I6VI5IQVLZIQWK5V7HBPNSECZ}

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	2026-05-18T04:14:46.096975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da3d547510aaf288595dafce17b64416762a1b7ce010d31995be059f8560c719

Aliases

arxiv: 1010.3548 · arxiv_version: 1010.3548v3 · doi: 10.48550/arxiv.1010.3548 · pith_short_12: 3I6VI5IQVLZI · pith_short_16: 3I6VI5IQVLZIQWK5 · pith_short_8: 3I6VI5IQ

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/3I6VI5IQVLZIQWK5V7HBPNSECZ \
  | 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: da3d547510aaf288595dafce17b64416762a1b7ce010d31995be059f8560c719

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c99ab4aaefb6ebb66be69866a61d9612f1f0852d7f31b7fbd35e148d76cbbb55",
    "cross_cats_sorted": [
      "cs.SY",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-18T10:35:32Z",
    "title_canon_sha256": "52b7988ab3be763073491347a8988e03d8123352217271b86d4aa7deecae8a65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3548",
    "kind": "arxiv",
    "version": 3
  }
}