Pith Number

pith:IP2TBAHK

pith:2010:IP2TBAHKTXKR7VON4USIMBNQVO

not attested not anchored not stored refs pending

Convex Cones of Generalized Positive Rational Functions and Nevanlinna-Pick Interpolation

Daniel Alpay, Izchak Lewkowicz

arxiv:1010.0546 v2 · 2010-10-04 · 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{IP2TBAHKTXKR7VON4USIMBNQVO}

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	2026-05-18T04:03:07.280092Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f53080ea9dd51fd5cde5248605b0ab9dbcd67306d3cd0ea2f0ec32bbe21b19

Aliases

arxiv: 1010.0546 · arxiv_version: 1010.0546v2 · doi: 10.48550/arxiv.1010.0546 · pith_short_12: IP2TBAHKTXKR · pith_short_16: IP2TBAHKTXKR7VON · pith_short_8: IP2TBAHK

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/IP2TBAHKTXKR7VON4USIMBNQVO \
  | 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: 43f53080ea9dd51fd5cde5248605b0ab9dbcd67306d3cd0ea2f0ec32bbe21b19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a0f91c23578af9e300bce0743d39df4d7081e2456a177cf24e106fe7e1943cdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-10-04T11:28:17Z",
    "title_canon_sha256": "ab4cfc994880a44e5b634fd7fed4854e2dd663e67d4be3a2237ad086f5d5c249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0546",
    "kind": "arxiv",
    "version": 2
  }
}