Pith Number

pith:5KTJH5HA

pith:2013:5KTJH5HAN7KX3N6KKFTYRARX2A

not attested not anchored not stored refs pending

Quartic Spectrahedra

Bernd Sturmfels, Cynthia Vinzant, John Christian Ottem, Kristian Ranestad

arxiv:1311.3675 v2 · 2013-11-14 · math.OC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KTJH5HAN7KX3N6KKFTYRARX2A}

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.

Cited by

1 paper in Pith

Copositive Matrices with Ordered Off-Diagonal Entries

Receipt and verification

First computed	2026-05-18T02:38:26.562459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eaa693f4e06fd57db7ca5167888237d01c3341c1496729e3db9850992e1143e8

Aliases

arxiv: 1311.3675 · arxiv_version: 1311.3675v2 · doi: 10.48550/arxiv.1311.3675 · pith_short_12: 5KTJH5HAN7KX · pith_short_16: 5KTJH5HAN7KX3N6K · pith_short_8: 5KTJH5HA

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/5KTJH5HAN7KX3N6KKFTYRARX2A \
  | 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: eaa693f4e06fd57db7ca5167888237d01c3341c1496729e3db9850992e1143e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9243b6d2c91520ce6c3d607e68d2d4515bc71a68c5727baa22af75a438888021",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-11-14T21:19:16Z",
    "title_canon_sha256": "67dd2ba8b8d15a42c32f8e17184cda9ba11e0aae5c3296e56c4e28729dd31017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3675",
    "kind": "arxiv",
    "version": 2
  }
}