Pith Number

pith:JYVMXW47

pith:2014:JYVMXW47OPO7OBN6OAPGIQZREF

not attested not anchored not stored refs pending

The Tracial Hahn-Banach Theorem, Polar Duals, Matrix Convex Sets, and Projections of Free Spectrahedra

Igor Klep, J. William Helton, Scott McCullough

arxiv:1407.8198 v2 · 2014-07-30 · 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{JYVMXW47OPO7OBN6OAPGIQZREF}

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	2026-05-18T00:17:30.876961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e2acbdb9f73ddf705be701e64433121798c74dc9bc0ba9d2fdd6c0bf2d13595

Aliases

arxiv: 1407.8198 · arxiv_version: 1407.8198v2 · doi: 10.48550/arxiv.1407.8198 · pith_short_12: JYVMXW47OPO7 · pith_short_16: JYVMXW47OPO7OBN6 · pith_short_8: JYVMXW47

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/JYVMXW47OPO7OBN6OAPGIQZREF \
  | 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: 4e2acbdb9f73ddf705be701e64433121798c74dc9bc0ba9d2fdd6c0bf2d13595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f4fe14f6ecd09c44cbe56a0c60e727ccd0e1a5f365cdd8c25b4bd7dc15f7da",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-30T20:11:50Z",
    "title_canon_sha256": "cce549bd61eae299b911d5d7d5cea183c33a9f168d727cd8b62a36d31b356fac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8198",
    "kind": "arxiv",
    "version": 2
  }
}