Pith Number

pith:X73FO7K3

pith:2009:X73FO7K3QDAZJZISM2SK2GRCB7

not attested not anchored not stored refs pending

Duality, Tangential Interpolation, and Toeplitz Corona Problems

Brett D. Wick, Mrinal Raghupathi

arxiv:0912.2340 v2 · 2009-12-11 · 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{X73FO7K3QDAZJZISM2SK2GRCB7}

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	2026-05-18T04:27:18.002106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bff6577d5b80c194e51266a4ad1a220fc081ef424cfb13090f6dc1e0af6aaefa

Aliases

arxiv: 0912.2340 · arxiv_version: 0912.2340v2 · doi: 10.48550/arxiv.0912.2340 · pith_short_12: X73FO7K3QDAZ · pith_short_16: X73FO7K3QDAZJZIS · pith_short_8: X73FO7K3

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/X73FO7K3QDAZJZISM2SK2GRCB7 \
  | 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: bff6577d5b80c194e51266a4ad1a220fc081ef424cfb13090f6dc1e0af6aaefa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ce9d7392369d796f0c89379c2137228a298e415de480e14bd64a9715560d69",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-12-11T20:54:08Z",
    "title_canon_sha256": "7740351a6c4f5e4c4b59cc214f7fd597bc0999277d41b7f92f423c8dbca87514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2340",
    "kind": "arxiv",
    "version": 2
  }
}