Pith Number

pith:7MQTEJD2

pith:2012:7MQTEJD2D3IHK5J67LXV2LLBCZ

not attested not anchored not stored refs pending

Solid angles associated to Minkowski reduced bases

Danny Nguyen

arxiv:1206.4390 v3 · 2012-06-20 · math.MG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MQTEJD2D3IHK5J67LXV2LLBCZ}

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	2026-05-18T00:49:47.584577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb2132247a1ed075753efaef5d2d611658dc53935d244c1340dcdaafeb17133d

Aliases

arxiv: 1206.4390 · arxiv_version: 1206.4390v3 · doi: 10.48550/arxiv.1206.4390 · pith_short_12: 7MQTEJD2D3IH · pith_short_16: 7MQTEJD2D3IHK5J6 · pith_short_8: 7MQTEJD2

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/7MQTEJD2D3IHK5J67LXV2LLBCZ \
  | 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: fb2132247a1ed075753efaef5d2d611658dc53935d244c1340dcdaafeb17133d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6fbc55c868e011f89d30650ee1c96de7e09022b0e6c2eadbea2cbf0b16b2a31",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-06-20T06:07:19Z",
    "title_canon_sha256": "e60fcaec0f5b08c4f717bc02a394c29651b9a4a4d30f646f8c1feeda640fdf54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4390",
    "kind": "arxiv",
    "version": 3
  }
}