Pith Number

pith:I2BTJKOQ

pith:2013:I2BTJKOQWCKWTMVBLK5DV3PSNT

not attested not anchored not stored refs pending

Integer matrices that are not copositive have certificates of less than quadratic complexity

Timo Hirscher

arxiv:1306.3867 v1 · 2013-06-17 · 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{I2BTJKOQWCKWTMVBLK5DV3PSNT}

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	2026-05-18T03:20:46.143252Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468334a9d0b09569b2a15aba3aedf26ceeec078a4385351202c0c56ff7dba17b

Aliases

arxiv: 1306.3867 · arxiv_version: 1306.3867v1 · doi: 10.48550/arxiv.1306.3867 · pith_short_12: I2BTJKOQWCKW · pith_short_16: I2BTJKOQWCKWTMVB · pith_short_8: I2BTJKOQ

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/I2BTJKOQWCKWTMVBLK5DV3PSNT \
  | 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: 468334a9d0b09569b2a15aba3aedf26ceeec078a4385351202c0c56ff7dba17b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "024af784cb6454f9bc96b51f6c143a7d2b1a2fbdedf76de13a442cc7fd5b3ac8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-06-17T14:05:25Z",
    "title_canon_sha256": "863cf8103183d2fc42d3249c10ef5c2d2928a5721e6a712e3f51c99125275ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3867",
    "kind": "arxiv",
    "version": 1
  }
}