Pith Number

pith:QLFKNTJT

pith:2012:QLFKNTJTIIQV5HT5F2ICNTT6JT

not attested not anchored not stored refs pending

On parametrization, optimization and triviality of test configurations

Yuji Odaka

arxiv:1201.0692 v3 · 2012-01-03 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLFKNTJTIIQV5HT5F2ICNTT6JT}

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	2026-05-18T04:02:00.444783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82caa6cd3342215e9e7d2e9026ce7e4cce432d01666657d750d56a77e5205d89

Aliases

arxiv: 1201.0692 · arxiv_version: 1201.0692v3 · doi: 10.48550/arxiv.1201.0692 · pith_short_12: QLFKNTJTIIQV · pith_short_16: QLFKNTJTIIQV5HT5 · pith_short_8: QLFKNTJT

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/QLFKNTJTIIQV5HT5F2ICNTT6JT \
  | 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: 82caa6cd3342215e9e7d2e9026ce7e4cce432d01666657d750d56a77e5205d89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae48d04371b1eaba4bd2ae986edf708521f6ef486324fdc27ccb802a82180ec6",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-01-03T16:42:25Z",
    "title_canon_sha256": "aec4f8b735cc01d66c6b14ba8464cbee8085b95e6c0e2d74eea9f6c09ec042e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.0692",
    "kind": "arxiv",
    "version": 3
  }
}