Pith Number

pith:RJ34TB47

pith:2015:RJ34TB47K67QTCE3FB5ZWMTNWL

not attested not anchored not stored refs pending

Character groups of Hopf algebras as infinite-dimensional Lie groups

Alexander Schmeding, Geir Bogfjellmo, Rafael Dahmen

arxiv:1501.05221 v3 · 2015-01-21 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RJ34TB47K67QTCE3FB5ZWMTNWL}

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	2026-05-18T01:09:49.356848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a77c9879f57bf09889b287b9b326db2fd8ac0f671897001040f2741fa6afb08

Aliases

arxiv: 1501.05221 · arxiv_version: 1501.05221v3 · doi: 10.48550/arxiv.1501.05221 · pith_short_12: RJ34TB47K67Q · pith_short_16: RJ34TB47K67QTCE3 · pith_short_8: RJ34TB47

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/RJ34TB47K67QTCE3FB5ZWMTNWL \
  | 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: 8a77c9879f57bf09889b287b9b326db2fd8ac0f671897001040f2741fa6afb08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4f7daf2eaa0b2f7af11d9e9ac7ea00fd964d510f059bf7eca38a609526553d1",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-01-21T16:38:13Z",
    "title_canon_sha256": "bfb351412abffd5481ac6033ddc8afd94a239652240579010d383f9398010355"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.05221",
    "kind": "arxiv",
    "version": 3
  }
}