Pith Number

pith:JOCDKGOH

pith:2012:JOCDKGOHYOHKST5UI2ILRSRTUZ

not attested not anchored not stored refs pending

Strict Periodic Extreme Lattices

Achill Sch\"urmann

arxiv:1211.5534 v1 · 2012-11-23 · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JOCDKGOHYOHKST5UI2ILRSRTUZ}

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	2026-05-18T02:49:20.523192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b843519c7c38ea94fb44690b8ca33a6461997dea85b1dc9a93f0926a9ced848

Aliases

arxiv: 1211.5534 · arxiv_version: 1211.5534v1 · doi: 10.48550/arxiv.1211.5534 · pith_short_12: JOCDKGOHYOHK · pith_short_16: JOCDKGOHYOHKST5U · pith_short_8: JOCDKGOH

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/JOCDKGOHYOHKST5UI2ILRSRTUZ \
  | 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: 4b843519c7c38ea94fb44690b8ca33a6461997dea85b1dc9a93f0926a9ced848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3dfadad603ad6678d737c67b8ac87648c9fdf6cd04139c14522f9807683eb1",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-11-23T16:04:22Z",
    "title_canon_sha256": "0d1f97f2dcbd5dc2c727b35c711da55e5f4ab6f64861cd027e22b06cbc0d6127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5534",
    "kind": "arxiv",
    "version": 1
  }
}