Pith Number

pith:5VXHTFVX

pith:2012:5VXHTFVXFON4GIL2VHJMK4476A

not attested not anchored not stored refs pending

Agler-Commutant Lifting on an Annulus

Saida Sultanic, Scott McCullough

arxiv:1201.5592 v1 · 2012-01-26 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VXHTFVXFON4GIL2VHJMK4476A}

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	2026-05-18T04:03:45.847755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed6e7996b72b9bc3217aa9d2c5739ff018dadc7a523dc393fc4c41dde93d6762

Aliases

arxiv: 1201.5592 · arxiv_version: 1201.5592v1 · doi: 10.48550/arxiv.1201.5592 · pith_short_12: 5VXHTFVXFON4 · pith_short_16: 5VXHTFVXFON4GIL2 · pith_short_8: 5VXHTFVX

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/5VXHTFVXFON4GIL2VHJMK4476A \
  | 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: ed6e7996b72b9bc3217aa9d2c5739ff018dadc7a523dc393fc4c41dde93d6762

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36d496b127c6d1cbc7ddfb743396e8546fba6b8ac641806a2d5f79d5f0858f15",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-01-26T18:02:16Z",
    "title_canon_sha256": "dde1b494e513b43025414f1bbe83f239f7d4a3b9a7f43fc63d309f6a123a8efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.5592",
    "kind": "arxiv",
    "version": 1
  }
}