Pith Number

pith:WJCLYLQT

pith:2015:WJCLYLQT7ONS6ZMY2RYI54WE2Y

not attested not anchored not stored refs pending

Positive semidefinite rank and nested spectrahedra

Elina Robeva, Kaie Kubjas, Richard Z. Robinson

arxiv:1512.08766 v2 · 2015-12-29 · math.AG · 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{WJCLYLQT7ONS6ZMY2RYI54WE2Y}

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	2026-05-18T00:53:08.635776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b244bc2e13fb9b2f6598d4708ef2c4d61b59a1737a8d98b6fbd4cdcccf857414

Aliases

arxiv: 1512.08766 · arxiv_version: 1512.08766v2 · doi: 10.48550/arxiv.1512.08766 · pith_short_12: WJCLYLQT7ONS · pith_short_16: WJCLYLQT7ONS6ZMY · pith_short_8: WJCLYLQT

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/WJCLYLQT7ONS6ZMY2RYI54WE2Y \
  | 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: b244bc2e13fb9b2f6598d4708ef2c4d61b59a1737a8d98b6fbd4cdcccf857414

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15de8d97cf3a31ab33a35085fe833f7ec45d3524cd23badb91d6494ce30df5d4",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-12-29T19:51:33Z",
    "title_canon_sha256": "75807c95bd9f5522bad0a0542e5de2b790050ee305473e113a983ff11c70f778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08766",
    "kind": "arxiv",
    "version": 2
  }
}