Pith Number

pith:XEBXJDIH

pith:2014:XEBXJDIHFBCGQ45S5KADNOIARF

not attested not anchored not stored refs pending

Free wreath product quantum groups : the monoidal category, approximation properties and free probability

Fran\c{c}ois Lemeux, Pierre Tarrago

arxiv:1411.4124 v2 · 2014-11-15 · 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{XEBXJDIHFBCGQ45S5KADNOIARF}

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	2026-05-18T02:34:51.481199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b903748d0728446873b2ea8036b900897013cef4a91b2d9f211b6254cfe0ea52

Aliases

arxiv: 1411.4124 · arxiv_version: 1411.4124v2 · doi: 10.48550/arxiv.1411.4124 · pith_short_12: XEBXJDIHFBCG · pith_short_16: XEBXJDIHFBCGQ45S · pith_short_8: XEBXJDIH

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/XEBXJDIHFBCGQ45S5KADNOIARF \
  | 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: b903748d0728446873b2ea8036b900897013cef4a91b2d9f211b6254cfe0ea52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa72d2bbbe4c557da6f359e382c258d78b0c7213c4ba740061217440c1580140",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-15T08:50:52Z",
    "title_canon_sha256": "db8670c0de2dedbd085ecb3eb5e598bce63b910129ec2a5d924fff92b60ac719"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.4124",
    "kind": "arxiv",
    "version": 2
  }
}