Pith Number

pith:3AG5L7J4

pith:2011:3AG5L7J45MVBA7VDEGHDUHP5C3

not attested not anchored not stored refs pending

The convex Positivstellensatz in a free algebra

Igor Klep, J. William Helton, Scott McCullough

arxiv:1102.4859 v3 · 2011-02-23 · math.RA · 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{3AG5L7J45MVBA7VDEGHDUHP5C3}

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	2026-05-18T00:17:30.953852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d80dd5fd3ceb2a107ea3218e3a1dfd16e6116cfc4bf43104cd183e9879fb2b94

Aliases

arxiv: 1102.4859 · arxiv_version: 1102.4859v3 · doi: 10.48550/arxiv.1102.4859 · pith_short_12: 3AG5L7J45MVB · pith_short_16: 3AG5L7J45MVBA7VD · pith_short_8: 3AG5L7J4

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/3AG5L7J45MVBA7VDEGHDUHP5C3 \
  | 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: d80dd5fd3ceb2a107ea3218e3a1dfd16e6116cfc4bf43104cd183e9879fb2b94

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ff79533eab2c55c95f837451a891a6263ef9da90d55481b2cde6e5d4dc2d6c3",
    "cross_cats_sorted": [
      "math.FA",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-02-23T21:14:05Z",
    "title_canon_sha256": "9a0391eafcab99b9171938ceb795e1eb36039b62a2c72dfd2c295f694747043c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4859",
    "kind": "arxiv",
    "version": 3
  }
}