Pith Number

pith:33JAUIE5

pith:2011:33JAUIE5BV7UK2ZCE74EZUD3Q2

not attested not anchored not stored refs pending

Quantum affine algebras, canonical bases and $q$-deformation of arithmetical functions

Henry H. Kim, Kyu-Hwan Lee

arxiv:1101.4912 v2 · 2011-01-25 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33JAUIE5BV7UK2ZCE74EZUD3Q2}

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	2026-05-18T03:59:27.556251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ded20a209d0d7f456b2227f84cd07b86b824c07964fc9fba70f427047c7f8f82

Aliases

arxiv: 1101.4912 · arxiv_version: 1101.4912v2 · doi: 10.48550/arxiv.1101.4912 · pith_short_12: 33JAUIE5BV7U · pith_short_16: 33JAUIE5BV7UK2ZC · pith_short_8: 33JAUIE5

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/33JAUIE5BV7UK2ZCE74EZUD3Q2 \
  | 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: ded20a209d0d7f456b2227f84cd07b86b824c07964fc9fba70f427047c7f8f82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8c8171812c9adfaacf160c341702abfaeda322021ad6cb808d703f3397ac77",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-01-25T19:55:10Z",
    "title_canon_sha256": "169fc389520daacccaa869c36a8f2b13a2e686c9c7c7157c2782a3575968ef99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.4912",
    "kind": "arxiv",
    "version": 2
  }
}