Pith Number

pith:DIE5WIBY

pith:2018:DIE5WIBYDCVCGWZZYLILIYNPUY

not attested not anchored not stored refs pending

Geometry and probability on the noncommutative 2-torus in a magnetic field

Fridolin Melong, Mahouton Norbert Hounkonnou

arxiv:1805.08165 v1 · 2018-05-21 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DIE5WIBYDCVCGWZZYLILIYNPUY}

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	2026-05-18T00:15:31.491180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a09db203818aa235b39c2d0b461afa6172e61ac3f85c1626c63c89d6f244d66

Aliases

arxiv: 1805.08165 · arxiv_version: 1805.08165v1 · doi: 10.48550/arxiv.1805.08165 · pith_short_12: DIE5WIBYDCVC · pith_short_16: DIE5WIBYDCVCGWZZ · pith_short_8: DIE5WIBY

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/DIE5WIBYDCVCGWZZYLILIYNPUY \
  | 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: 1a09db203818aa235b39c2d0b461afa6172e61ac3f85c1626c63c89d6f244d66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287c1bc0a00aef8fbf5e32e21de891a2ef789ca4e3d70ac9f34c647cb6f02b03",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-05-21T16:33:02Z",
    "title_canon_sha256": "10352e063438729d3b2acb91e64036d1b0038c21bfc2b6ba95d69381fa91bbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08165",
    "kind": "arxiv",
    "version": 1
  }
}