Pith Number

pith:GRNJA4D5

pith:2011:GRNJA4D5IJGX5WRP3OS22M5LUH

not attested not anchored not stored refs pending

Nahm's conjecture and Y-systems

Chul-hee Lee

arxiv:1109.3667 v4 · 2011-09-16 · math.QA · 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{GRNJA4D5IJGX5WRP3OS22M5LUH}

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	2026-05-18T03:11:24.264635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

345a90707d424d7eda2fdba5ad33aba1dbf24d4739a9715468eb73d62fcdd8cb

Aliases

arxiv: 1109.3667 · arxiv_version: 1109.3667v4 · doi: 10.48550/arxiv.1109.3667 · pith_short_12: GRNJA4D5IJGX · pith_short_16: GRNJA4D5IJGX5WRP · pith_short_8: GRNJA4D5

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/GRNJA4D5IJGX5WRP3OS22M5LUH \
  | 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: 345a90707d424d7eda2fdba5ad33aba1dbf24d4739a9715468eb73d62fcdd8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa14e0850bee3bdfcf9f39fff9b9658d7b2d62497e3b3f4b244849d59915388",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-16T17:11:07Z",
    "title_canon_sha256": "2eca1780394d0c11c17f8b5f45a44e89936c53e47765d472256f4372818c8d97"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.3667",
    "kind": "arxiv",
    "version": 4
  }
}