Pith Number

pith:WG3KD5CY

pith:2014:WG3KD5CYFTTZFKOOG7R5T4DW6V

not attested not anchored not stored refs pending

Explicit coproduct formula for quantum groups of infinite series

Vladislav Kharchenko

arxiv:1411.0747 v1 · 2014-11-04 · 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{WG3KD5CYFTTZFKOOG7R5T4DW6V}

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	2026-05-18T02:38:38.351616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1b6a1f4582ce792a9ce37e3d9f076f5526cee71544cfcaceca19626ef69d6ca

Aliases

arxiv: 1411.0747 · arxiv_version: 1411.0747v1 · doi: 10.48550/arxiv.1411.0747 · pith_short_12: WG3KD5CYFTTZ · pith_short_16: WG3KD5CYFTTZFKOO · pith_short_8: WG3KD5CY

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/WG3KD5CYFTTZFKOOG7R5T4DW6V \
  | 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: b1b6a1f4582ce792a9ce37e3d9f076f5526cee71544cfcaceca19626ef69d6ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8535360d0bd35b22ba1e9560f66acdabdb2443744b6d31c3d146bfd6fdc37126",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2014-11-04T01:12:29Z",
    "title_canon_sha256": "588e2282cbba7196d6baedbc017b169b21cbffefee931093734fa02780c158c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0747",
    "kind": "arxiv",
    "version": 1
  }
}