Pith Number

pith:LAHP4D4G

pith:2012:LAHP4D4GPH2E3ST33VA2BHKBT3

not attested not anchored not stored refs pending

Tetrahedron and 3D reflection equations from quantized algebra of functions

Atsuo Kuniba, Masato Okado

arxiv:1208.1586 v4 · 2012-08-08 · math-ph · math.MP · math.QA · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAHP4D4GPH2E3ST33VA2BHKBT3}

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	2026-05-17T23:52:44.914040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

580efe0f8679f44dca7bdd41a09d419ee0b7b2fdddc4d2ae284086f91fa24175

Aliases

arxiv: 1208.1586 · arxiv_version: 1208.1586v4 · doi: 10.48550/arxiv.1208.1586 · pith_short_12: LAHP4D4GPH2E · pith_short_16: LAHP4D4GPH2E3ST3 · pith_short_8: LAHP4D4G

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/LAHP4D4GPH2E3ST33VA2BHKBT3 \
  | 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: 580efe0f8679f44dca7bdd41a09d419ee0b7b2fdddc4d2ae284086f91fa24175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7895e14e4d1a67f27f0ae3e5fbdb0f5bf5fd178c0fe92de357698e339a5ec917",
    "cross_cats_sorted": [
      "math.MP",
      "math.QA",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-08T05:45:36Z",
    "title_canon_sha256": "d76700ac86d3d74b4cda55e219b4a697c292bac60b4e4c1fb36e6664628fdb16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1586",
    "kind": "arxiv",
    "version": 4
  }
}