Pith Number

pith:NANDMLP5

pith:2012:NANDMLP5CIBDUGEPJKDO6DJEJC

not attested not anchored not stored refs pending

Varna Lecture on L^2-Analysis of Minimal Representations

Toshiyuki Kobayashi

arxiv:1212.6871 v1 · 2012-12-31 · math.RT · math-ph · math.CA · 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{NANDMLP5CIBDUGEPJKDO6DJEJC}

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	2026-05-18T03:37:29.634330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

681a362dfd12023a188f4a86ef0d24488fcd2493b7a5dbb7ca46e0d37c631b31

Aliases

arxiv: 1212.6871 · arxiv_version: 1212.6871v1 · doi: 10.48550/arxiv.1212.6871 · pith_short_12: NANDMLP5CIBD · pith_short_16: NANDMLP5CIBDUGEP · pith_short_8: NANDMLP5

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/NANDMLP5CIBDUGEPJKDO6DJEJC \
  | 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: 681a362dfd12023a188f4a86ef0d24488fcd2493b7a5dbb7ca46e0d37c631b31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5550cfcb828f1e797aa5809e21f512a58deb765b5b4df58131b13922c29bf9cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-31T11:52:07Z",
    "title_canon_sha256": "226538bd48b8001a167cf87874796e15c37df4d2ed8df1933b9a072b339b1315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6871",
    "kind": "arxiv",
    "version": 1
  }
}