Pith Number

pith:QQVC22WO

pith:2016:QQVC22WOKTFVJBNBAGINPHEJPV

not attested not anchored not stored refs pending

Extreme points of matrix convex sets, free spectrahedra and dilation theory

Eric Evert, Igor Klep, J. William Helton, Scott McCullough

arxiv:1612.00025 v2 · 2016-11-30 · math.OA · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QQVC22WOKTFVJBNBAGINPHEJPV}

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	2026-05-17T23:44:23.118384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

842a2d6ace54cb5485a10190d79c897d6019f6e3b6ac13df4cae77a63685942c

Aliases

arxiv: 1612.00025 · arxiv_version: 1612.00025v2 · doi: 10.48550/arxiv.1612.00025 · pith_short_12: QQVC22WOKTFV · pith_short_16: QQVC22WOKTFVJBNB · pith_short_8: QQVC22WO

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/QQVC22WOKTFVJBNBAGINPHEJPV \
  | 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: 842a2d6ace54cb5485a10190d79c897d6019f6e3b6ac13df4cae77a63685942c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45d606d0c1781ff4a953dc8e62e3a61f732867aa8887ffdfbad165ad4a91a98b",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2016-11-30T21:01:02Z",
    "title_canon_sha256": "df5e1ea46fa55adbb2c77e9b8135b323f3d5515c05601d6b26a91e81f84097b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00025",
    "kind": "arxiv",
    "version": 2
  }
}