Pith Number

pith:565J2Y47

pith:2011:565J2Y47D2ZFGXGWM5ON5ZSIQB

not attested not anchored not stored refs pending

Two-Parameter Quantum Groups and Ringel-Hall algebras of $A_{\infty}-$type

Xin Tang

arxiv:1106.1904 v2 · 2011-06-09 · math.QA · math.RA · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{565J2Y47D2ZFGXGWM5ON5ZSIQB}

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	2026-05-18T04:18:54.253797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efba9d639f1eb2535cd6675cdee6488045b19e77f237b2db73ac17259ad1d690

Aliases

arxiv: 1106.1904 · arxiv_version: 1106.1904v2 · doi: 10.48550/arxiv.1106.1904 · pith_short_12: 565J2Y47D2ZF · pith_short_16: 565J2Y47D2ZFGXGW · pith_short_8: 565J2Y47

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/565J2Y47D2ZFGXGWM5ON5ZSIQB \
  | 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: efba9d639f1eb2535cd6675cdee6488045b19e77f237b2db73ac17259ad1d690

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6286c8a0c9f008b8a4e3152dcb1ce19c743f5ceecbd3e9f8f4bf926678fed6",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-06-09T20:06:25Z",
    "title_canon_sha256": "0a9847ab76d209d4b59a5004698993ab98d375f460a804cf544cfa2fa8b88fb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1904",
    "kind": "arxiv",
    "version": 2
  }
}