Pith Number

pith:ASTRFOIV

pith:2011:ASTRFOIVVUAEGAEE5HGDRSWSNN

not attested not anchored not stored refs pending

Semidefinite programming in matrix unknowns which are dimension free

Igor Klep, J. William Helton, Scott McCullough

arxiv:1112.6251 v1 · 2011-12-29 · math.OA · math.FA · 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{ASTRFOIVVUAEGAEE5HGDRSWSNN}

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	2026-05-18T04:05:36.408534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04a712b915ad00430084e9cc38cad26b76df972c04c08423fb046ec9765ea8b0

Aliases

arxiv: 1112.6251 · arxiv_version: 1112.6251v1 · doi: 10.48550/arxiv.1112.6251 · pith_short_12: ASTRFOIVVUAE · pith_short_16: ASTRFOIVVUAEGAEE · pith_short_8: ASTRFOIV

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/ASTRFOIVVUAEGAEE5HGDRSWSNN \
  | 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: 04a712b915ad00430084e9cc38cad26b76df972c04c08423fb046ec9765ea8b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5235b6d1eeac58674e5393fa670a37772d85ba096cee155e50793087c7cef38",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-12-29T08:31:59Z",
    "title_canon_sha256": "526d1eaa34c86f3cb8e1dd400a1aa6f78d6c4b83c75d67b7ca2e42b0b2157ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6251",
    "kind": "arxiv",
    "version": 1
  }
}