Pith Number

pith:FER6MEF5

pith:2012:FER6MEF57VWZ2M7XYUNI5HXBM2

not attested not anchored not stored refs pending

Multi-brace cotensor Hopf algebras and quantum groups

Marc Rosso, Xin Fang

arxiv:1210.3096 v1 · 2012-10-11 · 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{FER6MEF57VWZ2M7XYUNI5HXBM2}

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	2026-05-18T00:34:00.687569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2923e610bdfd6d9d33f7c51a8e9ee166a525e7a9464cec19aadf0203f6c57c4f

Aliases

arxiv: 1210.3096 · arxiv_version: 1210.3096v1 · doi: 10.48550/arxiv.1210.3096 · pith_short_12: FER6MEF57VWZ · pith_short_16: FER6MEF57VWZ2M7X · pith_short_8: FER6MEF5

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/FER6MEF57VWZ2M7XYUNI5HXBM2 \
  | 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: 2923e610bdfd6d9d33f7c51a8e9ee166a525e7a9464cec19aadf0203f6c57c4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "080fef0ea0040188ff95bce47ea89c115f300604e849063d2e034431c5c9f4ac",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-11T00:39:01Z",
    "title_canon_sha256": "5d847f16012aec201ff124ec702922c13c76a29bc10456ac986d98b1ee79bf63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3096",
    "kind": "arxiv",
    "version": 1
  }
}